{ "problem_id": "auto_problem_097", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 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": 3458, "max_depth": 10, "nodes": { "node_0": { "node_id": "node_0", "content": "INITIAL DESIGN (Trace 0)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, 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_1": { "node_id": "node_1", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nPerformance:\n Mass: 167.87 kg\n Factor of Safety: 1.21\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.87050329891224, "fos_buckling": 1.205086698434028, "fos_yielding": 3.2977508692008657, "deflection": 0.002001687579203276, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002412)" }, "parent_node_id": "node_0", "improvement_over_parent": null }, "node_2": { "node_id": "node_2", "content": "MODIFICATION: Increase 1 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nPerformance:\n Mass: 171.35 kg\n Factor of Safety: 1.20\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.3522824120073, "fos_buckling": 1.2046424465344032, "fos_yielding": 3.2976130372010997, "deflection": 0.001883305493173697, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.357)" }, "parent_node_id": "node_1", "improvement_over_parent": null }, "node_3": { "node_id": "node_3", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 215.72 kg\n Factor of Safety: 1.46\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.71718357362852, "fos_buckling": 1.4571030604602353, "fos_yielding": 4.147234806555789, "deflection": 0.0015008256027774882, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.284)" }, "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 (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 220.89 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 220.8915264503572, "fos_buckling": 1.568168537419365, "fos_yielding": 4.159183040182258, "deflection": 0.0014528692418048445, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_3", "improvement_over_parent": null }, "node_5": { "node_id": "node_5", "content": "MODIFICATION: Increase 8 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0082)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 236.81 kg\n Factor of Safety: 1.57\n Max Deflection: 1.35e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 236.81418684302017, "fos_buckling": 1.5720661634154842, "fos_yielding": 4.154116162152257, "deflection": 0.0013475671606224095, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.429)" }, "parent_node_id": "node_4", "improvement_over_parent": null }, "node_6": { "node_id": "node_6", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_5", "improvement_over_parent": null }, "node_7": { "node_id": "node_7", "content": "INITIAL DESIGN (Trace 1)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n\nPerformance:\n Mass: 159.91 kg\n Factor of Safety: 0.88\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": 159.90965379429298, "fos_buckling": 0.8776917601339318, "fos_yielding": 3.5868423926561506, "deflection": 0.002234809235576231, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_8": { "node_id": "node_8", "content": "MODIFICATION: Increase 0 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n\nPerformance:\n Mass: 164.27 kg\n Factor of Safety: 0.88\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": 164.2711374231804, "fos_buckling": 0.877285994136442, "fos_yielding": 3.5868423926561506, "deflection": 0.0021086313253099475, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.429)" }, "parent_node_id": "node_7", "improvement_over_parent": null }, "node_9": { "node_id": "node_9", "content": "MODIFICATION: Increase 8 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 177.03 kg\n Factor of Safety: 1.28\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.03407749690214, "fos_buckling": 1.2811855510896808, "fos_yielding": 3.586842392656151, "deflection": 0.0018040696733095899, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.582)" }, "parent_node_id": "node_8", "improvement_over_parent": null }, "node_10": { "node_id": "node_10", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n\nPerformance:\n Mass: 187.76 kg\n Factor of Safety: 1.34\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.7597968676118, "fos_buckling": 1.3385530736959674, "fos_yielding": 3.586842392656151, "deflection": 0.0017170649329817328, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002609)" }, "parent_node_id": "node_9", "improvement_over_parent": null }, "node_11": { "node_id": "node_11", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 219.56 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 219.55539415352447, "fos_buckling": 1.5216830760875915, "fos_yielding": 4.192557540571598, "deflection": 0.001471577596084237, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.186)" }, "parent_node_id": "node_10", "improvement_over_parent": null }, "node_12": { "node_id": "node_12", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.11 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.1098014892225, "fos_buckling": 1.5666192474703176, "fos_yielding": 4.148859245504942, "deflection": 0.0014514056373055352, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_11", "improvement_over_parent": null }, "node_13": { "node_id": "node_13", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_12", "improvement_over_parent": null }, "node_14": { "node_id": "node_14", "content": "INITIAL DESIGN (Trace 2)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\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_15": { "node_id": "node_15", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 217.83 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 217.83041237700692, "fos_buckling": 1.523027767022278, "fos_yielding": 4.195107472363622, "deflection": 0.0014741560257744077, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_14", "improvement_over_parent": null }, "node_16": { "node_id": "node_16", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 221.38 kg\n Factor of Safety: 1.46\n Max Deflection: 1.46e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.38481971270494, "fos_buckling": 1.4614574771334958, "fos_yielding": 4.157230277253348, "deflection": 0.0014583053817136544, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_15", "improvement_over_parent": null }, "node_17": { "node_id": "node_17", "content": "MODIFICATION: Increase 5 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0084)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 234.00 kg\n Factor of Safety: 1.14\n Max Deflection: 1.44e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 234.00319174990148, "fos_buckling": 1.1432632172707864, "fos_yielding": 4.164802463467791, "deflection": 0.0014405301727633333, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.479)" }, "parent_node_id": "node_16", "improvement_over_parent": null }, "node_18": { "node_id": "node_18", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_17", "improvement_over_parent": null }, "node_19": { "node_id": "node_19", "content": "INITIAL DESIGN (Trace 3)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0009)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 128.56 kg\n Factor of Safety: 0.90\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": 128.56076490997765, "fos_buckling": 0.90111424277936, "fos_yielding": 2.510214403831292, "deflection": 0.002565094390142265, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_20": { "node_id": "node_20", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 148.42 kg\n Factor of Safety: 1.03\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": 148.42079239776606, "fos_buckling": 1.0269480155427448, "fos_yielding": 2.8995703432244144, "deflection": 0.002224267995546727, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.164)" }, "parent_node_id": "node_19", "improvement_over_parent": null }, "node_21": { "node_id": "node_21", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 165.75 kg\n Factor of Safety: 1.13\n Max Deflection: 1.99e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.7517856888908, "fos_buckling": 1.1338197994982007, "fos_yielding": 3.2397815056136325, "deflection": 0.001993562582690558, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.125)" }, "parent_node_id": "node_20", "improvement_over_parent": null }, "node_22": { "node_id": "node_22", "content": "MODIFICATION: Increase 2 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 167.26 kg\n Factor of Safety: 1.13\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": 167.262070170255, "fos_buckling": 1.130756598751221, "fos_yielding": 3.2310287028027806, "deflection": 0.0019876150392267524, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.621)" }, "parent_node_id": "node_21", "improvement_over_parent": null }, "node_23": { "node_id": "node_23", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 210.09 kg\n Factor of Safety: 1.38\n Max Deflection: 1.59e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.09142230629487, "fos_buckling": 1.380307516648853, "fos_yielding": 4.064245068822847, "deflection": 0.0015858229002226449, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.280)" }, "parent_node_id": "node_22", "improvement_over_parent": null }, "node_24": { "node_id": "node_24", "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 214.83 kg\n Factor of Safety: 1.52\n Max Deflection: 1.57e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 214.83442748868725, "fos_buckling": 1.5226866728698827, "fos_yielding": 4.193384840726228, "deflection": 0.001571511085115831, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.203)" }, "parent_node_id": "node_23", "improvement_over_parent": null }, "node_25": { "node_id": "node_25", "content": "MODIFICATION: Increase 0 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 219.60 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 219.6014613543789, "fos_buckling": 1.521921056555413, "fos_yielding": 4.193384840726228, "deflection": 0.0014711051124291917, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.397)" }, "parent_node_id": "node_24", "improvement_over_parent": null }, "node_26": { "node_id": "node_26", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.16 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.15586869007691, "fos_buckling": 1.5673661276504935, "fos_yielding": 4.149659908894124, "deflection": 0.001450927156937142, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_25", "improvement_over_parent": null }, "node_27": { "node_id": "node_27", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_26", "improvement_over_parent": null }, "node_28": { "node_id": "node_28", "content": "INITIAL DESIGN (Trace 4)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 131.62 kg\n Factor of Safety: 0.08\n Max Deflection: 1.83e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.62227092891024, "fos_buckling": 0.0765670111310917, "fos_yielding": 1.1025534460480146, "deflection": 18336892461731.906, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_29": { "node_id": "node_29", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 169.30 kg\n Factor of Safety: 1.60\n Max Deflection: 4.20e+12 m\n Status: FEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 169.3002927539788, "fos_buckling": 1.596215774119555, "fos_yielding": 4.198538885450399, "deflection": 4197079378311.392, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.314)" }, "parent_node_id": "node_28", "improvement_over_parent": null }, "node_30": { "node_id": "node_30", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 212.91 kg\n Factor of Safety: 1.26\n Max Deflection: 1.48e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.9113469967395, "fos_buckling": 1.2602998427513419, "fos_yielding": 4.198538885450399, "deflection": 0.001475719091495505, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_29", "improvement_over_parent": null }, "node_31": { "node_id": "node_31", "content": "MODIFICATION: Increase 3 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 214.73 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 214.73171464967393, "fos_buckling": 1.5232620032557065, "fos_yielding": 4.198538885450399, "deflection": 0.0014696489444842437, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.595)" }, "parent_node_id": "node_30", "improvement_over_parent": null }, "node_32": { "node_id": "node_32", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.34 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.3448192644346, "fos_buckling": 1.5686213990544704, "fos_yielding": 4.153362461552005, "deflection": 0.00144991348565306, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_31", "improvement_over_parent": null }, "node_33": { "node_id": "node_33", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_32", "improvement_over_parent": null }, "node_34": { "node_id": "node_34", "content": "INITIAL DESIGN (Trace 5)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n\nPerformance:\n Mass: 109.26 kg\n Factor of Safety: 0.16\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": 109.25529818159686, "fos_buckling": 0.16041699394017794, "fos_yielding": 2.2051068920960297, "deflection": 8974210233104.47, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_35": { "node_id": "node_35", "content": "MODIFICATION: Increase 7 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 113.84 kg\n Factor of Safety: 0.18\n Max Deflection: 1.98e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.84321897009876, "fos_buckling": 0.1783113085153243, "fos_yielding": 0.7771775834298766, "deflection": 19828684959338.133, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.202)" }, "parent_node_id": "node_34", "improvement_over_parent": null }, "node_36": { "node_id": "node_36", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n\nPerformance:\n Mass: 116.23 kg\n Factor of Safety: 0.04\n Max Deflection: 9.49e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 116.23261222062891, "fos_buckling": 0.04318391035659356, "fos_yielding": 0.9968821404627871, "deflection": 0.009494613702873985, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001283)" }, "parent_node_id": "node_35", "improvement_over_parent": null }, "node_37": { "node_id": "node_37", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n\nPerformance:\n Mass: 145.54 kg\n Factor of Safety: 1.01\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": 145.54209684805363, "fos_buckling": 1.0127521472229022, "fos_yielding": 2.786156906407505, "deflection": 0.0022172358072770257, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003760)" }, "parent_node_id": "node_36", "improvement_over_parent": null }, "node_38": { "node_id": "node_38", "content": "MODIFICATION: Increase 4 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n\nPerformance:\n Mass: 152.24 kg\n Factor of Safety: 1.01\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": 152.23891124908042, "fos_buckling": 1.0127521472229033, "fos_yielding": 2.786156906407505, "deflection": 0.0022172358072770257, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.355)" }, "parent_node_id": "node_37", "improvement_over_parent": null }, "node_39": { "node_id": "node_39", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n\nPerformance:\n Mass: 155.72 kg\n Factor of Safety: 0.85\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": 155.71688212854627, "fos_buckling": 0.8494297273246466, "fos_yielding": 2.8009675574984882, "deflection": 0.002134732299907244, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001548)" }, "parent_node_id": "node_38", "improvement_over_parent": null }, "node_40": { "node_id": "node_40", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0061)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n\nPerformance:\n Mass: 185.86 kg\n Factor of Safety: 1.01\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.8642912204171, "fos_buckling": 1.0084310421916451, "fos_yielding": 3.343853629403137, "deflection": 0.0017904938524383586, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.209)" }, "parent_node_id": "node_39", "improvement_over_parent": null }, "node_41": { "node_id": "node_41", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0077)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 231.13 kg\n Factor of Safety: 1.24\n Max Deflection: 1.44e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 231.1276803074997, "fos_buckling": 1.2438362811255168, "fos_yielding": 4.159621205528584, "deflection": 0.0014421976934942283, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.269)" }, "parent_node_id": "node_40", "improvement_over_parent": null }, "node_42": { "node_id": "node_42", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_41", "improvement_over_parent": null }, "node_43": { "node_id": "node_43", "content": "INITIAL DESIGN (Trace 6)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n\nPerformance:\n Mass: 108.67 kg\n Factor of Safety: 0.54\n Max Deflection: 2.45e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 108.66772414903771, "fos_buckling": 0.5377102146767448, "fos_yielding": 2.8047683657411016, "deflection": 2450434953717.0522, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_44": { "node_id": "node_44", "content": "MODIFICATION: Increase 5 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n\nPerformance:\n Mass: 109.65 kg\n Factor of Safety: 1.06\n Max Deflection: 7.28e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.64764317497648, "fos_buckling": 1.0585539494177505, "fos_yielding": 2.984290912157675, "deflection": 7279479939600.597, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.337)" }, "parent_node_id": "node_43", "improvement_over_parent": null }, "node_45": { "node_id": "node_45", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n\nPerformance:\n Mass: 137.86 kg\n Factor of Safety: 0.08\n Max Deflection: 1.75e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.86092890559866, "fos_buckling": 0.08286154092972656, "fos_yielding": 2.2051068920960297, "deflection": 17519683508959.031, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.277)" }, "parent_node_id": "node_44", "improvement_over_parent": null }, "node_46": { "node_id": "node_46", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n\nPerformance:\n Mass: 148.27 kg\n Factor of Safety: 0.11\n Max Deflection: 5.83e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.2665629357974, "fos_buckling": 0.10952629901231871, "fos_yielding": 1.7847574381313087, "deflection": 0.005825553083019325, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002525)" }, "parent_node_id": "node_45", "improvement_over_parent": null }, "node_47": { "node_id": "node_47", "content": "MODIFICATION: Increase 8 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n\nPerformance:\n Mass: 149.71 kg\n Factor of Safety: 0.11\n Max Deflection: 5.82e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.7057872249041, "fos_buckling": 0.1095095670587171, "fos_yielding": 1.784484786914987, "deflection": 0.005824434912660649, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.272)" }, "parent_node_id": "node_46", "improvement_over_parent": null }, "node_48": { "node_id": "node_48", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 185.07 kg\n Factor of Safety: 1.34\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.07277390730133, "fos_buckling": 1.3434214515680567, "fos_yielding": 3.443201094366721, "deflection": 0.0017454940451382963, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004655)" }, "parent_node_id": "node_47", "improvement_over_parent": null }, "node_49": { "node_id": "node_49", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.00 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 222.9959187802295, "fos_buckling": 1.5669134267506415, "fos_yielding": 4.145946780324164, "deflection": 0.001452117650653511, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.225)" }, "parent_node_id": "node_48", "improvement_over_parent": null }, "node_50": { "node_id": "node_50", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_49", "improvement_over_parent": null }, "node_51": { "node_id": "node_51", "content": "INITIAL DESIGN (Trace 7)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0018)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0027)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n\nPerformance:\n Mass: 94.41 kg\n Factor of Safety: 0.56\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": 94.40573096962262, "fos_buckling": 0.5627229753354757, "fos_yielding": 1.3172545129442546, "deflection": 0.003330683550202917, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_52": { "node_id": "node_52", "content": "MODIFICATION: Increase 4 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0027)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n\nPerformance:\n Mass: 100.57 kg\n Factor of Safety: 0.50\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": 100.56944363704889, "fos_buckling": 0.49811873767340514, "fos_yielding": 2.0221152068713577, "deflection": 0.0032402111664842684, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.582)" }, "parent_node_id": "node_51", "improvement_over_parent": null }, "node_53": { "node_id": "node_53", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0032)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n\nPerformance:\n Mass: 119.53 kg\n Factor of Safety: 0.58\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": 119.53347334975598, "fos_buckling": 0.5815905094939943, "fos_yielding": 2.402263784764638, "deflection": 0.0027286397705768173, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.198)" }, "parent_node_id": "node_52", "improvement_over_parent": null }, "node_54": { "node_id": "node_54", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 136.59 kg\n Factor of Safety: 0.65\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": 136.58536908199872, "fos_buckling": 0.6539081674525944, "fos_yielding": 2.743761131758744, "deflection": 0.002389920915695892, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.151)" }, "parent_node_id": "node_53", "improvement_over_parent": null }, "node_55": { "node_id": "node_55", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n\nPerformance:\n Mass: 144.94 kg\n Factor of Safety: 0.77\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": 144.93663458335413, "fos_buckling": 0.7676619051392014, "fos_yielding": 2.751585654857974, "deflection": 0.0023287897735708367, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.001996)" }, "parent_node_id": "node_54", "improvement_over_parent": null }, "node_56": { "node_id": "node_56", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n\nPerformance:\n Mass: 177.58 kg\n Factor of Safety: 0.91\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.58309839268938, "fos_buckling": 0.9130489887347504, "fos_yielding": 3.3687617141530186, "deflection": 0.0019031710277585376, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.242)" }, "parent_node_id": "node_55", "improvement_over_parent": null }, "node_57": { "node_id": "node_57", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 218.08 kg\n Factor of Safety: 1.08\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.08446882542142, "fos_buckling": 1.0801846866573321, "fos_yielding": 4.133042483248638, "deflection": 0.001552166453354009, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.250)" }, "parent_node_id": "node_56", "improvement_over_parent": null }, "node_58": { "node_id": "node_58", "content": "MODIFICATION: Increase 0 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.63 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.62990099927384, "fos_buckling": 1.5701218763652345, "fos_yielding": 4.159410202163491, "deflection": 0.001448113167518855, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.490)" }, "parent_node_id": "node_57", "improvement_over_parent": null }, "node_59": { "node_id": "node_59", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_58", "improvement_over_parent": null }, "node_60": { "node_id": "node_60", "content": "INITIAL DESIGN (Trace 8)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0027)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 160.70 kg\n Factor of Safety: 0.86\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.69862404516775, "fos_buckling": 0.8629991184771533, "fos_yielding": 2.2911378642033333, "deflection": 0.002105520388240337, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_61": { "node_id": "node_61", "content": "MODIFICATION: Increase 6 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 168.25 kg\n Factor of Safety: 0.95\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.25313454077002, "fos_buckling": 0.9505252485486381, "fos_yielding": 2.3138579613669537, "deflection": 0.0019012112932257933, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.374)" }, "parent_node_id": "node_60", "improvement_over_parent": null }, "node_62": { "node_id": "node_62", "content": "MODIFICATION: Increase 3 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 179.44 kg\n Factor of Safety: 0.82\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.43686728306864, "fos_buckling": 0.8231257440115243, "fos_yielding": 3.59315884098674, "deflection": 0.0018516946253213271, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.623)" }, "parent_node_id": "node_61", "improvement_over_parent": null }, "node_63": { "node_id": "node_63", "content": "MODIFICATION: Increase 4 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 181.27 kg\n Factor of Safety: 0.77\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.27298982483796, "fos_buckling": 0.7710504621275258, "fos_yielding": 3.588490180705376, "deflection": 0.0018478602646523092, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.562)" }, "parent_node_id": "node_62", "improvement_over_parent": null }, "node_64": { "node_id": "node_64", "content": "MODIFICATION: Increase 6 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 190.42 kg\n Factor of Safety: 1.20\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.42057041928769, "fos_buckling": 1.1967088202098681, "fos_yielding": 3.614897178841641, "deflection": 0.0017107351977119713, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.342)" }, "parent_node_id": "node_63", "improvement_over_parent": null }, "node_65": { "node_id": "node_65", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 218.15 kg\n Factor of Safety: 1.33\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.15141341653703, "fos_buckling": 1.3250118972635636, "fos_yielding": 4.139137092558528, "deflection": 0.0014961406954895821, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.160)" }, "parent_node_id": "node_64", "improvement_over_parent": null }, "node_66": { "node_id": "node_66", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 223.33 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.3257562932657, "fos_buckling": 1.5682223479482453, "fos_yielding": 4.1528892507254, "deflection": 0.0014499567804046592, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_65", "improvement_over_parent": null }, "node_67": { "node_id": "node_67", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_66", "improvement_over_parent": null }, "node_68": { "node_id": "node_68", "content": "INITIAL DESIGN (Trace 9)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 167.97 kg\n Factor of Safety: 0.53\n Max Deflection: 2.08e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.97026965527505, "fos_buckling": 0.5301880594160606, "fos_yielding": 3.4408934860428153, "deflection": 0.002076405932085059, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_69": { "node_id": "node_69", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n\nPerformance:\n Mass: 172.34 kg\n Factor of Safety: 0.58\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": 172.3393752969197, "fos_buckling": 0.581624058587974, "fos_yielding": 3.449676441447679, "deflection": 0.002034156112570956, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001976)" }, "parent_node_id": "node_68", "improvement_over_parent": null }, "node_70": { "node_id": "node_70", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 204.25 kg\n Factor of Safety: 0.67\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.2476467633319, "fos_buckling": 0.671992443744154, "fos_yielding": 4.082636760640387, "deflection": 0.0017171942082587017, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.202)" }, "parent_node_id": "node_69", "improvement_over_parent": null }, "node_71": { "node_id": "node_71", "content": "MODIFICATION: Increase 0 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 207.01 kg\n Factor of Safety: 0.74\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.00859811765255, "fos_buckling": 0.7376077757397586, "fos_yielding": 4.092180391344518, "deflection": 0.0016783823726752333, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.200)" }, "parent_node_id": "node_70", "improvement_over_parent": null }, "node_72": { "node_id": "node_72", "content": "MODIFICATION: Increase 7 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 211.73 kg\n Factor of Safety: 0.63\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.73155974039685, "fos_buckling": 0.6259032869143848, "fos_yielding": 4.07358300264707, "deflection": 0.001666178356621367, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.645)" }, "parent_node_id": "node_71", "improvement_over_parent": null }, "node_73": { "node_id": "node_73", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 150.16 kg\n Factor of Safety: 0.96\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.16210174839162, "fos_buckling": 0.9564098640043932, "fos_yielding": 2.328271497714236, "deflection": 0.001982206601788308, "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: Increase 8 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 152.78 kg\n Factor of Safety: 0.96\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.78430376858367, "fos_buckling": 0.9564098640043932, "fos_yielding": 2.328271497714236, "deflection": 0.0019724798888643307, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.418)" }, "parent_node_id": "node_74", "improvement_over_parent": null }, "node_76": { "node_id": "node_76", "content": "MODIFICATION: Increase 4 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 159.37 kg\n Factor of Safety: 1.19\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.37020083303665, "fos_buckling": 1.1885862720611788, "fos_yielding": 3.11658937973562, "deflection": 0.0019724798888643307, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.362)" }, "parent_node_id": "node_75", "improvement_over_parent": null }, "node_77": { "node_id": "node_77", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n\nPerformance:\n Mass: 165.77 kg\n Factor of Safety: 1.22\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.76558046678522, "fos_buckling": 1.2226916268872283, "fos_yielding": 3.084342331715737, "deflection": 0.0019463317931050618, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001858)" }, "parent_node_id": "node_76", "improvement_over_parent": null }, "node_78": { "node_id": "node_78", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n\nPerformance:\n Mass: 198.92 kg\n Factor of Safety: 1.43\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.92456735674747, "fos_buckling": 1.4267934865528311, "fos_yielding": 3.699149744649547, "deflection": 0.0016252936401379766, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.217)" }, "parent_node_id": "node_77", "improvement_over_parent": null }, "node_79": { "node_id": "node_79", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.36 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.36282139886654, "fos_buckling": 1.5686977062110157, "fos_yielding": 4.151803958546927, "deflection": 0.0014496999434650798, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.135)" }, "parent_node_id": "node_78", "improvement_over_parent": null }, "node_80": { "node_id": "node_80", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_79", "improvement_over_parent": null }, "node_81": { "node_id": "node_81", "content": "INITIAL DESIGN (Trace 11)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 186.57 kg\n Factor of Safety: 1.17\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.57297922990236, "fos_buckling": 1.1738788781554117, "fos_yielding": 3.7877267553826814, "deflection": 0.001716886787656436, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_82": { "node_id": "node_82", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 206.85 kg\n Factor of Safety: 1.28\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.84657484177794, "fos_buckling": 1.2754839736708625, "fos_yielding": 4.196871689932594, "deflection": 0.0015503472922624888, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.119)" }, "parent_node_id": "node_81", "improvement_over_parent": null }, "node_83": { "node_id": "node_83", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 215.46 kg\n Factor of Safety: 1.35\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.4596794565386, "fos_buckling": 1.3478563270679056, "fos_yielding": 4.156321109317951, "deflection": 0.0015334286599461824, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_82", "improvement_over_parent": null }, "node_84": { "node_id": "node_84", "content": "MODIFICATION: Increase 10 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0032)]\n\nPerformance:\n Mass: 217.35 kg\n Factor of Safety: 1.35\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.3459423200856, "fos_buckling": 1.3537025959170963, "fos_yielding": 4.152462768589269, "deflection": 0.0015320586894114292, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.247)" }, "parent_node_id": "node_83", "improvement_over_parent": null }, "node_85": { "node_id": "node_85", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_84", "improvement_over_parent": null }, "node_86": { "node_id": "node_86", "content": "INITIAL DESIGN (Trace 12)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 133.79 kg\n Factor of Safety: 0.91\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": 133.7926620630351, "fos_buckling": 0.9058565403193586, "fos_yielding": 2.8001161525824485, "deflection": 0.002460966995991483, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_87": { "node_id": "node_87", "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 134.40 kg\n Factor of Safety: 0.91\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": 134.39643487491767, "fos_buckling": 0.9057403619335295, "fos_yielding": 2.8001161525824485, "deflection": 0.00245819819444959, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.183)" }, "parent_node_id": "node_86", "improvement_over_parent": null }, "node_88": { "node_id": "node_88", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 171.23 kg\n Factor of Safety: 1.12\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.22522221959235, "fos_buckling": 1.124804774742804, "fos_yielding": 3.563702269584468, "deflection": 0.0019379261224649932, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.295)" }, "parent_node_id": "node_87", "improvement_over_parent": null }, "node_89": { "node_id": "node_89", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 201.73 kg\n Factor of Safety: 1.30\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.73133028046303, "fos_buckling": 1.2967907655968511, "fos_yielding": 4.194850392974868, "deflection": 0.0016507713457574252, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.195)" }, "parent_node_id": "node_88", "improvement_over_parent": null }, "node_90": { "node_id": "node_90", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 206.91 kg\n Factor of Safety: 1.30\n Max Deflection: 1.57e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.9056731571917, "fos_buckling": 1.2960820685233931, "fos_yielding": 4.194850392974868, "deflection": 0.0015713178183871777, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_89", "improvement_over_parent": null }, "node_91": { "node_id": "node_91", "content": "MODIFICATION: Increase 7 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0038)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 209.52 kg\n Factor of Safety: 1.30\n Max Deflection: 1.57e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.52266977660057, "fos_buckling": 1.2957239298937593, "fos_yielding": 4.194850392974868, "deflection": 0.0015675217984773547, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.235)" }, "parent_node_id": "node_90", "improvement_over_parent": null }, "node_92": { "node_id": "node_92", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0038)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 218.14 kg\n Factor of Safety: 1.17\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.13577439136122, "fos_buckling": 1.1725478859905358, "fos_yielding": 4.128850107949761, "deflection": 0.0015329073018629452, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_91", "improvement_over_parent": null }, "node_93": { "node_id": "node_93", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_92", "improvement_over_parent": null }, "node_94": { "node_id": "node_94", "content": "INITIAL DESIGN (Trace 13)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n\nPerformance:\n Mass: 141.87 kg\n Factor of Safety: 0.89\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.86741337694048, "fos_buckling": 0.8925843245166069, "fos_yielding": 2.837523839564824, "deflection": 0.0023168235270587313, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_95": { "node_id": "node_95", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 185.00 kg\n Factor of Safety: 1.13\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.99842203434466, "fos_buckling": 1.1347145276249935, "fos_yielding": 3.6930541667499726, "deflection": 0.0017801855973896663, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.328)" }, "parent_node_id": "node_94", "improvement_over_parent": null }, "node_96": { "node_id": "node_96", "content": "MODIFICATION: Increase 10 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 194.31 kg\n Factor of Safety: 1.40\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.31104041486347, "fos_buckling": 1.4046844384974462, "fos_yielding": 3.688197465924362, "deflection": 0.0016387310098700588, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.353)" }, "parent_node_id": "node_95", "improvement_over_parent": null }, "node_97": { "node_id": "node_97", "content": "MODIFICATION: Increase 9 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 198.38 kg\n Factor of Safety: 1.42\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.38121873782035, "fos_buckling": 1.4237503892064793, "fos_yielding": 3.6902267776956315, "deflection": 0.0016297055686641596, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.623)" }, "parent_node_id": "node_96", "improvement_over_parent": null }, "node_98": { "node_id": "node_98", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.30 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.2956973626087, "fos_buckling": 1.5685204737831906, "fos_yielding": 4.151833327202053, "deflection": 0.001450143823207855, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.138)" }, "parent_node_id": "node_97", "improvement_over_parent": null }, "node_99": { "node_id": "node_99", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_98", "improvement_over_parent": null }, "node_100": { "node_id": "node_100", "content": "INITIAL DESIGN (Trace 14)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0011)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 142.55 kg\n Factor of Safety: 0.97\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": 142.54684378217434, "fos_buckling": 0.9738705667930334, "fos_yielding": 2.781357084091833, "deflection": 0.002217819007977963, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_101": { "node_id": "node_101", "content": "MODIFICATION: Increase 8 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 144.97 kg\n Factor of Safety: 0.97\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": 144.97146341105145, "fos_buckling": 0.9713360096575705, "fos_yielding": 2.7812623483523633, "deflection": 0.002218273204388769, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.555)" }, "parent_node_id": "node_100", "improvement_over_parent": null }, "node_102": { "node_id": "node_102", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n\nPerformance:\n Mass: 148.45 kg\n Factor of Safety: 1.11\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": 148.4451984453383, "fos_buckling": 1.1139996634039948, "fos_yielding": 2.789669819995894, "deflection": 0.0021555334511609314, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001546)" }, "parent_node_id": "node_101", "improvement_over_parent": null }, "node_103": { "node_id": "node_103", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n\nPerformance:\n Mass: 185.23 kg\n Factor of Safety: 1.35\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.22653868386735, "fos_buckling": 1.3475050132005153, "fos_yielding": 3.478125575120092, "deflection": 0.0017317181310680964, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.267)" }, "parent_node_id": "node_102", "improvement_over_parent": null }, "node_104": { "node_id": "node_104", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 221.35 kg\n Factor of Safety: 1.56\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 221.34714693374403, "fos_buckling": 1.5606258721168402, "fos_yielding": 4.153115822535903, "deflection": 0.0014526041598524144, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.214)" }, "parent_node_id": "node_103", "improvement_over_parent": null }, "node_105": { "node_id": "node_105", "content": "MODIFICATION: Increase 9 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0069)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 229.47 kg\n Factor of Safety: 1.58\n Max Deflection: 1.39e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 229.47139178290362, "fos_buckling": 1.5776854841651968, "fos_yielding": 4.149903869474388, "deflection": 0.001390002213552628, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.214)" }, "parent_node_id": "node_104", "improvement_over_parent": null }, "node_106": { "node_id": "node_106", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_105", "improvement_over_parent": null }, "node_107": { "node_id": "node_107", "content": "INITIAL DESIGN (Trace 15)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0012)]\n\nPerformance:\n Mass: 72.93 kg\n Factor of Safety: 0.04\n Max Deflection: 2.14e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 72.9262541178466, "fos_buckling": 0.035876365295663674, "fos_yielding": 0.6770071366095063, "deflection": 0.021389156638544897, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_108": { "node_id": "node_108", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0012)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n\nPerformance:\n Mass: 96.67 kg\n Factor of Safety: 0.08\n Max Deflection: 9.82e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 96.67315425589157, "fos_buckling": 0.07580785819804252, "fos_yielding": 1.057511509545015, "deflection": 0.00981787467321089, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003012)" }, "parent_node_id": "node_107", "improvement_over_parent": null }, "node_109": { "node_id": "node_109", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n\nPerformance:\n Mass: 117.95 kg\n Factor of Safety: 0.09\n Max Deflection: 8.05e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.95299924240746, "fos_buckling": 0.09049878447565698, "fos_yielding": 1.2917574329693102, "deflection": 0.008048234850960857, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.233)" }, "parent_node_id": "node_108", "improvement_over_parent": null }, "node_110": { "node_id": "node_110", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n\nPerformance:\n Mass: 137.24 kg\n Factor of Safety: 0.10\n Max Deflection: 6.92e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.2400451753096, "fos_buckling": 0.10319836184876367, "fos_yielding": 1.5046722228998044, "deflection": 0.00691817395438177, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.175)" }, "parent_node_id": "node_109", "improvement_over_parent": null }, "node_111": { "node_id": "node_111", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 170.21 kg\n Factor of Safety: 1.26\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.212688037115, "fos_buckling": 1.2555818675617731, "fos_yielding": 3.209786703387335, "deflection": 0.0018769004948832576, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004317)" }, "parent_node_id": "node_110", "improvement_over_parent": null }, "node_112": { "node_id": "node_112", "content": "MODIFICATION: Increase 9 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 180.61 kg\n Factor of Safety: 1.26\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.60895049119526, "fos_buckling": 1.2591273415019764, "fos_yielding": 3.22917069746465, "deflection": 0.0017517849387224012, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.339)" }, "parent_node_id": "node_111", "improvement_over_parent": null }, "node_113": { "node_id": "node_113", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0077)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 233.34 kg\n Factor of Safety: 1.56\n Max Deflection: 1.36e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 233.34295116526852, "fos_buckling": 1.5601895606591962, "fos_yielding": 4.175004289303206, "deflection": 0.001360748436882665, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.323)" }, "parent_node_id": "node_112", "improvement_over_parent": null }, "node_114": { "node_id": "node_114", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\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_116": { "node_id": "node_116", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 208.49 kg\n Factor of Safety: 1.47\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.49266851232122, "fos_buckling": 1.4738776106747649, "fos_yielding": 4.19645566016795, "deflection": 0.0015206291553599596, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_115", "improvement_over_parent": null }, "node_117": { "node_id": "node_117", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 217.11 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.10577312708187, "fos_buckling": 1.484513484188846, "fos_yielding": 4.2019652991879495, "deflection": 0.0015205087814413288, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_116", "improvement_over_parent": null }, "node_118": { "node_id": "node_118", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.2595878653797, "fos_buckling": 1.5680110398324938, "fos_yielding": 4.151339310951526, "deflection": 0.0014504370044323108, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_117", "improvement_over_parent": null }, "node_119": { "node_id": "node_119", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_118", "improvement_over_parent": null }, "node_120": { "node_id": "node_120", "content": "INITIAL DESIGN (Trace 17)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0028)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\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_121": { "node_id": "node_121", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0028)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n\nPerformance:\n Mass: 114.64 kg\n Factor of Safety: 0.10\n Max Deflection: 2.45e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.64006255980505, "fos_buckling": 0.09504574716464077, "fos_yielding": 1.8265436890063236, "deflection": 24545355872182.37, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002179)" }, "parent_node_id": "node_120", "improvement_over_parent": null }, "node_122": { "node_id": "node_122", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0032)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n\nPerformance:\n Mass: 132.90 kg\n Factor of Safety: 0.00\n Max Deflection: 4.93e+14 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.90374834857724, "fos_buckling": 0.0023680616596663236, "fos_yielding": 0.034454795189000464, "deflection": 493070037133082.9, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.171)" }, "parent_node_id": "node_121", "improvement_over_parent": null }, "node_123": { "node_id": "node_123", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0032)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n\nPerformance:\n Mass: 137.24 kg\n Factor of Safety: 0.11\n Max Deflection: 6.02e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.23804067932207, "fos_buckling": 0.11065265211979168, "fos_yielding": 1.8059644290816166, "deflection": 0.0060199602058212355, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001959)" }, "parent_node_id": "node_122", "improvement_over_parent": null }, "node_124": { "node_id": "node_124", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 163.89 kg\n Factor of Safety: 0.13\n Max Deflection: 5.05e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.89296527504317, "fos_buckling": 0.12804080853559174, "fos_yielding": 2.15069032857526, "deflection": 0.005049055776297459, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.212)" }, "parent_node_id": "node_123", "improvement_over_parent": null }, "node_125": { "node_id": "node_125", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 206.54 kg\n Factor of Safety: 1.13\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.54493362641657, "fos_buckling": 1.1264298038776082, "fos_yielding": 4.191174168567236, "deflection": 0.0016727462325907346, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_124", "improvement_over_parent": null }, "node_126": { "node_id": "node_126", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 210.10 kg\n Factor of Safety: 0.87\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.09934096211458, "fos_buckling": 0.8733712649464789, "fos_yielding": 4.105175462354061, "deflection": 0.0016177094972514691, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_125", "improvement_over_parent": null }, "node_127": { "node_id": "node_127", "content": "MODIFICATION: Increase 7 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0045)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 215.16 kg\n Factor of Safety: 0.89\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.16337030431407, "fos_buckling": 0.8862185954035084, "fos_yielding": 4.106383782742255, "deflection": 0.0016132051250114705, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.466)" }, "parent_node_id": "node_126", "improvement_over_parent": null }, "node_128": { "node_id": "node_128", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_127", "improvement_over_parent": null }, "node_129": { "node_id": "node_129", "content": "INITIAL DESIGN (Trace 18)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n\nPerformance:\n Mass: 97.16 kg\n Factor of Safety: 0.04\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 97.16262942633483, "fos_buckling": 0.035565057928421885, "fos_yielding": 0.8030455445776622, "deflection": 0.011231815460412438, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_130": { "node_id": "node_130", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 112.99 kg\n Factor of Safety: 0.04\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": 112.99071677305146, "fos_buckling": 0.04070588127787857, "fos_yielding": 0.9328104265550442, "deflection": 0.009667062032006462, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.172)" }, "parent_node_id": "node_129", "improvement_over_parent": null }, "node_131": { "node_id": "node_131", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 125.63 kg\n Factor of Safety: 0.04\n Max Deflection: 8.70e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.63461656344859, "fos_buckling": 0.04468227407140669, "fos_yielding": 1.0362598880596747, "deflection": 0.008700369286885027, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.119)" }, "parent_node_id": "node_130", "improvement_over_parent": null }, "node_132": { "node_id": "node_132", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n\nPerformance:\n Mass: 156.12 kg\n Factor of Safety: 1.16\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": 156.12397809680846, "fos_buckling": 1.1607995877953872, "fos_yielding": 2.9066216248539987, "deflection": 0.0020654216809382043, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003921)" }, "parent_node_id": "node_131", "improvement_over_parent": null }, "node_133": { "node_id": "node_133", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n\nPerformance:\n Mass: 176.34 kg\n Factor of Safety: 1.29\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.34155658807848, "fos_buckling": 1.2891986563385573, "fos_yielding": 3.2818330213317957, "deflection": 0.0018309569372952706, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.139)" }, "parent_node_id": "node_132", "improvement_over_parent": null }, "node_134": { "node_id": "node_134", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.25 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.24673135030258, "fos_buckling": 1.5679947270611256, "fos_yielding": 4.151286288349859, "deflection": 0.0014505453737671584, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.292)" }, "parent_node_id": "node_133", "improvement_over_parent": null }, "node_135": { "node_id": "node_135", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_134", "improvement_over_parent": null }, "node_136": { "node_id": "node_136", "content": "INITIAL DESIGN (Trace 19)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\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_137": { "node_id": "node_137", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 199.61 kg\n Factor of Safety: 1.15\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.6143224233216, "fos_buckling": 1.1473700189783906, "fos_yielding": 2.8528117879891473, "deflection": 0.0016239677401975261, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_136", "improvement_over_parent": null }, "node_138": { "node_id": "node_138", "content": "MODIFICATION: Increase 0 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 203.30 kg\n Factor of Safety: 1.15\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.30107568070372, "fos_buckling": 1.1473700189783906, "fos_yielding": 2.8528117879891473, "deflection": 0.0015537634698174418, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.284)" }, "parent_node_id": "node_137", "improvement_over_parent": null }, "node_139": { "node_id": "node_139", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 206.86 kg\n Factor of Safety: 1.15\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.85548301640173, "fos_buckling": 1.1462826283605656, "fos_yielding": 2.850108108512284, "deflection": 0.001548299615411143, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_138", "improvement_over_parent": null }, "node_140": { "node_id": "node_140", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 212.03 kg\n Factor of Safety: 1.15\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.0298258931304, "fos_buckling": 1.1505604410485766, "fos_yielding": 2.8607444283230747, "deflection": 0.0015054995322143013, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_139", "improvement_over_parent": null }, "node_141": { "node_id": "node_141", "content": "MODIFICATION: Increase 4 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0087)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 225.59 kg\n Factor of Safety: 1.13\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 225.59488039387384, "fos_buckling": 1.1287852737124788, "fos_yielding": 2.8650863657883714, "deflection": 0.0015032180007041303, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.517)" }, "parent_node_id": "node_140", "improvement_over_parent": null }, "node_142": { "node_id": "node_142", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_141", "improvement_over_parent": null }, "node_143": { "node_id": "node_143", "content": "INITIAL DESIGN (Trace 20)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0009)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n\nPerformance:\n Mass: 109.54 kg\n Factor of Safety: 0.06\n Max Deflection: 8.27e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.53796882648544, "fos_buckling": 0.05762344478983454, "fos_yielding": 0.8741337760081824, "deflection": 0.008271625183063826, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_144": { "node_id": "node_144", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0009)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n\nPerformance:\n Mass: 115.19 kg\n Factor of Safety: 0.06\n Max Deflection: 8.25e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.18950927064445, "fos_buckling": 0.05758878818412418, "fos_yielding": 0.8736080436483119, "deflection": 0.008253686661934288, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001629)" }, "parent_node_id": "node_143", "improvement_over_parent": null }, "node_145": { "node_id": "node_145", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0009)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 143.18 kg\n Factor of Safety: 0.79\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": 143.1752954771443, "fos_buckling": 0.7852078409538162, "fos_yielding": 2.727787462096008, "deflection": 0.0022812762976144375, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.003625)" }, "parent_node_id": "node_144", "improvement_over_parent": null }, "node_146": { "node_id": "node_146", "content": "MODIFICATION: Increase 3 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 144.47 kg\n Factor of Safety: 1.07\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": 144.47399547977346, "fos_buckling": 1.0729761094988124, "fos_yielding": 2.729044067719788, "deflection": 0.0022707089392330427, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.656)" }, "parent_node_id": "node_145", "improvement_over_parent": null }, "node_147": { "node_id": "node_147", "content": "MODIFICATION: Increase 1 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 146.49 kg\n Factor of Safety: 1.10\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": 146.48544778809548, "fos_buckling": 1.0978121653883968, "fos_yielding": 2.7273569354095746, "deflection": 0.00219981524909349, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.224)" }, "parent_node_id": "node_146", "improvement_over_parent": null }, "node_148": { "node_id": "node_148", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 163.92 kg\n Factor of Safety: 1.21\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": 163.91754165782191, "fos_buckling": 1.2108616742473033, "fos_yielding": 3.050969084991949, "deflection": 0.00196804009362142, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.127)" }, "parent_node_id": "node_147", "improvement_over_parent": null }, "node_149": { "node_id": "node_149", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 191.36 kg\n Factor of Safety: 1.38\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.36426667813774, "fos_buckling": 1.3813631556055685, "fos_yielding": 3.56008667632293, "deflection": 0.0016886947619570319, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_148", "improvement_over_parent": null }, "node_150": { "node_id": "node_150", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.07 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.0731518594644, "fos_buckling": 1.5669830234881013, "fos_yielding": 4.147644360445109, "deflection": 0.0014515520067817616, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.182)" }, "parent_node_id": "node_149", "improvement_over_parent": null }, "node_151": { "node_id": "node_151", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_150", "improvement_over_parent": null }, "node_152": { "node_id": "node_152", "content": "INITIAL DESIGN (Trace 21)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 156.96 kg\n Factor of Safety: 1.17\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.963012072139, "fos_buckling": 1.1701679172660777, "fos_yielding": 2.9557730352576277, "deflection": 0.00203632191085489, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_153": { "node_id": "node_153", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 185.93 kg\n Factor of Safety: 1.35\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.9303952764677, "fos_buckling": 1.3524197909503475, "fos_yielding": 3.4989998555150876, "deflection": 0.0017224030162787533, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.199)" }, "parent_node_id": "node_152", "improvement_over_parent": null }, "node_154": { "node_id": "node_154", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 220.67 kg\n Factor of Safety: 1.56\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 220.6701520930991, "fos_buckling": 1.557349228637603, "fos_yielding": 4.149516580983777, "deflection": 0.0014546258754820041, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.205)" }, "parent_node_id": "node_153", "improvement_over_parent": null }, "node_155": { "node_id": "node_155", "content": "MODIFICATION: Increase 9 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.22 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.21977569980731, "fos_buckling": 1.567789596366779, "fos_yielding": 4.150625049905391, "deflection": 0.0014506877607944233, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.280)" }, "parent_node_id": "node_154", "improvement_over_parent": null }, "node_156": { "node_id": "node_156", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_155", "improvement_over_parent": null }, "node_157": { "node_id": "node_157", "content": "INITIAL DESIGN (Trace 22)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n\nPerformance:\n Mass: 101.22 kg\n Factor of Safety: 0.05\n Max Deflection: 2.50e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 101.2206627691878, "fos_buckling": 0.04607662042709476, "fos_yielding": 1.08126794842885, "deflection": 25016948614797.11, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_158": { "node_id": "node_158", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n\nPerformance:\n Mass: 104.24 kg\n Factor of Safety: 0.05\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 104.23731051010702, "fos_buckling": 0.048616130165514325, "fos_yielding": 0.9544751251305711, "deflection": 0.014891857901392481, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001332)" }, "parent_node_id": "node_157", "improvement_over_parent": null }, "node_159": { "node_id": "node_159", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 136.99 kg\n Factor of Safety: 0.05\n Max Deflection: 7.93e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.98899240762415, "fos_buckling": 0.048446956251834, "fos_yielding": 1.1368919966022286, "deflection": 0.007929861451528493, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004286)" }, "parent_node_id": "node_158", "improvement_over_parent": null }, "node_160": { "node_id": "node_160", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0043)]\n\nPerformance:\n Mass: 170.47 kg\n Factor of Safety: 1.21\n Max Deflection: 1.89e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.46957029486614, "fos_buckling": 1.211355716718148, "fos_yielding": 3.1898100341352764, "deflection": 0.0018866529584940534, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004333)" }, "parent_node_id": "node_159", "improvement_over_parent": null }, "node_161": { "node_id": "node_161", "content": "MODIFICATION: Increase 3 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0062)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0043)]\n\nPerformance:\n Mass: 178.77 kg\n Factor of Safety: 0.85\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.77464685097038, "fos_buckling": 0.847999557526527, "fos_yielding": 3.7005621784574934, "deflection": 0.001868640499609176, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.339)" }, "parent_node_id": "node_160", "improvement_over_parent": null }, "node_162": { "node_id": "node_162", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0082)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 232.49 kg\n Factor of Safety: 1.06\n Max Deflection: 1.44e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 232.49020756832613, "fos_buckling": 1.05687013799375, "fos_yielding": 4.813209824564108, "deflection": 0.0014397220851587132, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.332)" }, "parent_node_id": "node_161", "improvement_over_parent": null }, "node_163": { "node_id": "node_163", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_162", "improvement_over_parent": null }, "node_164": { "node_id": "node_164", "content": "INITIAL DESIGN (Trace 23)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 170.42 kg\n Factor of Safety: 1.11\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.41887159009377, "fos_buckling": 1.109194379536531, "fos_yielding": 2.741896422426018, "deflection": 0.001956303533957387, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_165": { "node_id": "node_165", "content": "MODIFICATION: Increase 1 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 174.89 kg\n Factor of Safety: 1.10\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.89386655105392, "fos_buckling": 1.1042788494035798, "fos_yielding": 2.7297453741205815, "deflection": 0.001814603636196637, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.473)" }, "parent_node_id": "node_164", "improvement_over_parent": null }, "node_166": { "node_id": "node_166", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 209.24 kg\n Factor of Safety: 1.30\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.2422464522902, "fos_buckling": 1.2957777513933297, "fos_yielding": 3.275006441111739, "deflection": 0.001520044571089943, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.215)" }, "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 (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n\nPerformance:\n Mass: 213.22 kg\n Factor of Safety: 1.29\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.22243766442645, "fos_buckling": 1.2854743597732956, "fos_yielding": 3.248965189913666, "deflection": 0.0014739943071701944, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001605)" }, "parent_node_id": "node_166", "improvement_over_parent": null }, "node_168": { "node_id": "node_168", "content": "MODIFICATION: Increase 5 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0091)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n\nPerformance:\n Mass: 228.76 kg\n Factor of Safety: 1.22\n Max Deflection: 1.45e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 228.7566723449024, "fos_buckling": 1.221775073323419, "fos_yielding": 3.2561322726506274, "deflection": 0.001453958798091753, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.597)" }, "parent_node_id": "node_167", "improvement_over_parent": null }, "node_169": { "node_id": "node_169", "content": "MODIFICATION: Increase 4 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0091)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n\nPerformance:\n Mass: 236.65 kg\n Factor of Safety: 1.07\n Max Deflection: 1.44e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 236.6465292947614, "fos_buckling": 1.067061768664593, "fos_yielding": 4.16768346825616, "deflection": 0.0014398949246713668, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.319)" }, "parent_node_id": "node_168", "improvement_over_parent": null }, "node_170": { "node_id": "node_170", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 24)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 137.53 kg\n Factor of Safety: 1.04\n Max Deflection: 2.25e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.5264979836909, "fos_buckling": 1.0442727407947192, "fos_yielding": 2.81725660010272, "deflection": 0.0022545137456469674, "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 all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 159.59 kg\n Factor of Safety: 1.19\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.58905211400648, "fos_buckling": 1.1876530100470937, "fos_yielding": 3.2671710617245244, "deflection": 0.0019449680089414219, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.172)" }, "parent_node_id": "node_171", "improvement_over_parent": null }, "node_173": { "node_id": "node_173", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nPerformance:\n Mass: 169.38 kg\n Factor of Safety: 1.21\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.38421203809764, "fos_buckling": 1.2065696449591738, "fos_yielding": 3.281530923476989, "deflection": 0.0019446281565254006, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002366)" }, "parent_node_id": "node_172", "improvement_over_parent": null }, "node_174": { "node_id": "node_174", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n\nPerformance:\n Mass: 190.18 kg\n Factor of Safety: 1.33\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.17726940882042, "fos_buckling": 1.3309849671546636, "fos_yielding": 3.682754489862619, "deflection": 0.0017336872423415483, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.133)" }, "parent_node_id": "node_173", "improvement_over_parent": null }, "node_175": { "node_id": "node_175", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 217.18 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.17947122001445, "fos_buckling": 1.484890466817076, "fos_yielding": 4.203268068162737, "deflection": 0.0015200407009791064, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.156)" }, "parent_node_id": "node_174", "improvement_over_parent": null }, "node_176": { "node_id": "node_176", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.33 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.33328595831227, "fos_buckling": 1.568420440767268, "fos_yielding": 4.152633891493353, "deflection": 0.0014499900952900618, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_175", "improvement_over_parent": null }, "node_177": { "node_id": "node_177", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_176", "improvement_over_parent": null }, "node_178": { "node_id": "node_178", "content": "INITIAL DESIGN (Trace 25)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0026)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 158.75 kg\n Factor of Safety: 0.58\n Max Deflection: 2.19e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.74940352160894, "fos_buckling": 0.5800500272512247, "fos_yielding": 3.146958738706324, "deflection": 0.00219167921095778, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_179": { "node_id": "node_179", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 206.73 kg\n Factor of Safety: 0.73\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.73276703929335, "fos_buckling": 0.7264451463170347, "fos_yielding": 4.090701169903916, "deflection": 0.001684413999453184, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.330)" }, "parent_node_id": "node_178", "improvement_over_parent": null }, "node_180": { "node_id": "node_180", "content": "MODIFICATION: Increase 7 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 211.77 kg\n Factor of Safety: 0.95\n Max Deflection: 1.59e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.76915460311827, "fos_buckling": 0.9505665278576672, "fos_yielding": 4.114272872439257, "deflection": 0.0015903382567690149, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.198)" }, "parent_node_id": "node_179", "improvement_over_parent": null }, "node_181": { "node_id": "node_181", "content": "MODIFICATION: Increase 7 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.18 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.1802181385053, "fos_buckling": 1.56753434228501, "fos_yielding": 4.149792509159378, "deflection": 0.0014509250067525447, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.389)" }, "parent_node_id": "node_180", "improvement_over_parent": null }, "node_182": { "node_id": "node_182", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_181", "improvement_over_parent": null }, "node_183": { "node_id": "node_183", "content": "INITIAL DESIGN (Trace 26)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0028)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 151.60 kg\n Factor of Safety: 0.85\n Max Deflection: 2.29e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.6020622105507, "fos_buckling": 0.8512965740557547, "fos_yielding": 3.33085064601222, "deflection": 0.0022886627588904426, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_184": { "node_id": "node_184", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 191.40 kg\n Factor of Safety: 1.05\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.40365986738192, "fos_buckling": 1.0530047005115393, "fos_yielding": 4.193198435237609, "deflection": 0.0018138407156039116, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.285)" }, "parent_node_id": "node_183", "improvement_over_parent": null }, "node_185": { "node_id": "node_185", "content": "MODIFICATION: Increase 6 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 206.75 kg\n Factor of Safety: 1.36\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.7474045379447, "fos_buckling": 1.3596985461608182, "fos_yielding": 4.193198435237609, "deflection": 0.0015577920025081908, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.595)" }, "parent_node_id": "node_184", "improvement_over_parent": null }, "node_186": { "node_id": "node_186", "content": "MODIFICATION: Increase 9 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 213.81 kg\n Factor of Safety: 1.52\n Max Deflection: 1.48e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 213.8094373670658, "fos_buckling": 1.5239030080440088, "fos_yielding": 4.193198435237609, "deflection": 0.0014818852645674637, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.218)" }, "parent_node_id": "node_185", "improvement_over_parent": null }, "node_187": { "node_id": "node_187", "content": "MODIFICATION: Increase 4 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 215.40 kg\n Factor of Safety: 1.52\n Max Deflection: 1.48e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 215.40136077703795, "fos_buckling": 1.52339102563082, "fos_yielding": 4.193198435237611, "deflection": 0.0014800527612499968, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.383)" }, "parent_node_id": "node_186", "improvement_over_parent": null }, "node_188": { "node_id": "node_188", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 218.96 kg\n Factor of Safety: 1.55\n Max Deflection: 1.46e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 218.95576811273597, "fos_buckling": 1.5485303514409032, "fos_yielding": 4.14745615978478, "deflection": 0.0014580218659460014, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_187", "improvement_over_parent": null }, "node_189": { "node_id": "node_189", "content": "MODIFICATION: Increase 9 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0089)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 239.45 kg\n Factor of Safety: 1.47\n Max Deflection: 1.33e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 239.44797742496857, "fos_buckling": 1.4735198502018694, "fos_yielding": 4.141395603459489, "deflection": 0.0013262820878902622, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.560)" }, "parent_node_id": "node_188", "improvement_over_parent": null }, "node_190": { "node_id": "node_190", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_189", "improvement_over_parent": null }, "node_191": { "node_id": "node_191", "content": "INITIAL DESIGN (Trace 27)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 151.31 kg\n Factor of Safety: 1.10\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": 151.31230805479694, "fos_buckling": 1.1003994261561068, "fos_yielding": 2.970243734008317, "deflection": 0.0022289972244888216, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_192": { "node_id": "node_192", "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 153.59 kg\n Factor of Safety: 1.11\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": 153.59274456088622, "fos_buckling": 1.1086577541012395, "fos_yielding": 2.9766133102427097, "deflection": 0.0021428622944465875, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.233)" }, "parent_node_id": "node_191", "improvement_over_parent": null }, "node_193": { "node_id": "node_193", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n\nPerformance:\n Mass: 157.95 kg\n Factor of Safety: 1.17\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": 157.9457192332642, "fos_buckling": 1.1725098442584945, "fos_yielding": 2.94026730462229, "deflection": 0.002041743573751903, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001765)" }, "parent_node_id": "node_192", "improvement_over_parent": null }, "node_194": { "node_id": "node_194", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 179.11 kg\n Factor of Safety: 1.31\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.10754614113768, "fos_buckling": 1.306310146898486, "fos_yielding": 3.332949035184237, "deflection": 0.0018029166329116056, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_193", "improvement_over_parent": null }, "node_195": { "node_id": "node_195", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.32 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.315742419757, "fos_buckling": 1.5683091686512902, "fos_yielding": 4.152325456663593, "deflection": 0.0014500412067102347, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.271)" }, "parent_node_id": "node_194", "improvement_over_parent": null }, "node_196": { "node_id": "node_196", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_195", "improvement_over_parent": null }, "node_197": { "node_id": "node_197", "content": "INITIAL DESIGN (Trace 28)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0008)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n\nPerformance:\n Mass: 98.04 kg\n Factor of Safety: 0.15\n Max Deflection: 8.10e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 98.04397199230051, "fos_buckling": 0.15195114596900786, "fos_yielding": 2.157770603710114, "deflection": 8096162437713.429, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_198": { "node_id": "node_198", "content": "MODIFICATION: Increase 2 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n\nPerformance:\n Mass: 99.00 kg\n Factor of Safety: 0.32\n Max Deflection: 8.37e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 99.00136191562528, "fos_buckling": 0.3177247691941259, "fos_yielding": 2.1625358968577, "deflection": 8372245682380.596, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.515)" }, "parent_node_id": "node_197", "improvement_over_parent": null }, "node_199": { "node_id": "node_199", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 117.31 kg\n Factor of Safety: 0.02\n Max Deflection: 1.09e+14 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.31288887002232, "fos_buckling": 0.017062240490198635, "fos_yielding": 0.19259297203328307, "deflection": 108525591120051.7, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.196)" }, "parent_node_id": "node_198", "improvement_over_parent": null }, "node_200": { "node_id": "node_200", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n\nPerformance:\n Mass: 146.37 kg\n Factor of Safety: 1.08\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": 146.36506209267236, "fos_buckling": 1.0813762557045605, "fos_yielding": 2.797394933788099, "deflection": 0.0021964968749399686, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003725)" }, "parent_node_id": "node_199", "improvement_over_parent": null }, "node_201": { "node_id": "node_201", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n\nPerformance:\n Mass: 184.63 kg\n Factor of Safety: 1.32\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.63237730586604, "fos_buckling": 1.3197777962502475, "fos_yielding": 3.5270712690227746, "deflection": 0.0017457900891787068, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.282)" }, "parent_node_id": "node_200", "improvement_over_parent": null }, "node_202": { "node_id": "node_202", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 219.77 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 219.76563810004603, "fos_buckling": 1.5227498828662616, "fos_yielding": 4.196366897820882, "deflection": 0.0014702009117906264, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.209)" }, "parent_node_id": "node_201", "improvement_over_parent": null }, "node_203": { "node_id": "node_203", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.32 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.32004543574405, "fos_buckling": 1.5683711124631798, "fos_yielding": 4.152589759937863, "deflection": 0.0014500206933364182, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_202", "improvement_over_parent": null }, "node_204": { "node_id": "node_204", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_203", "improvement_over_parent": null }, "node_205": { "node_id": "node_205", "content": "INITIAL DESIGN (Trace 29)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n\nPerformance:\n Mass: 93.76 kg\n Factor of Safety: 0.04\n Max Deflection: 1.34e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 93.75616958118151, "fos_buckling": 0.03831073145258824, "fos_yielding": 0.5512767230240073, "deflection": 13422998052832.13, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_206": { "node_id": "node_206", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n\nPerformance:\n Mass: 127.50 kg\n Factor of Safety: 0.31\n Max Deflection: 3.62e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.50339896817574, "fos_buckling": 0.3064858516207059, "fos_yielding": 2.0321236844367867, "deflection": 3620266210886.473, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004370)" }, "parent_node_id": "node_205", "improvement_over_parent": null }, "node_207": { "node_id": "node_207", "content": "MODIFICATION: Increase 5 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n\nPerformance:\n Mass: 135.75 kg\n Factor of Safety: 0.20\n Max Deflection: 3.62e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.74834098503197, "fos_buckling": 0.2043239010804706, "fos_yielding": 2.9401425227947056, "deflection": 3620266210886.474, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.577)" }, "parent_node_id": "node_206", "improvement_over_parent": null }, "node_208": { "node_id": "node_208", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n\nPerformance:\n Mass: 160.54 kg\n Factor of Safety: 0.91\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": 160.54098043589067, "fos_buckling": 0.9148612375692587, "fos_yielding": 3.20506440762434, "deflection": 0.0021339381956980356, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.003190)" }, "parent_node_id": "node_207", "improvement_over_parent": null }, "node_209": { "node_id": "node_209", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n\nPerformance:\n Mass: 207.68 kg\n Factor of Safety: 1.15\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.68495719741412, "fos_buckling": 1.1506531354165397, "fos_yielding": 4.138500168737847, "deflection": 0.0016525210240664258, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.321)" }, "parent_node_id": "node_208", "improvement_over_parent": null }, "node_210": { "node_id": "node_210", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 212.86 kg\n Factor of Safety: 1.22\n Max Deflection: 1.57e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.8593000741428, "fos_buckling": 1.2230832356590389, "fos_yielding": 4.158545283572584, "deflection": 0.00156869182450054, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_209", "improvement_over_parent": null }, "node_211": { "node_id": "node_211", "content": "MODIFICATION: Increase 10 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0032)]\n\nPerformance:\n Mass: 214.47 kg\n Factor of Safety: 1.29\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.46990281708906, "fos_buckling": 1.2917025090189531, "fos_yielding": 4.159614509663155, "deflection": 0.0015643680094866502, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.355)" }, "parent_node_id": "node_210", "improvement_over_parent": null }, "node_212": { "node_id": "node_212", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_211", "improvement_over_parent": null }, "node_213": { "node_id": "node_213", "content": "INITIAL DESIGN (Trace 30)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 175.20 kg\n Factor of Safety: 0.06\n Max Deflection: 6.76e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.1961596077193, "fos_buckling": 0.06040319753924834, "fos_yielding": 1.402342713762121, "deflection": 0.006764337569674814, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_214": { "node_id": "node_214", "content": "MODIFICATION: Increase 1 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 177.92 kg\n Factor of Safety: 0.06\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.92138813365605, "fos_buckling": 0.060385758168847795, "fos_yielding": 1.401937834964141, "deflection": 0.006706430114613093, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.202)" }, "parent_node_id": "node_213", "improvement_over_parent": null }, "node_215": { "node_id": "node_215", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 221.53 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 221.53244237641675, "fos_buckling": 1.5693164185740807, "fos_yielding": 4.156117218474454, "deflection": 0.0014523470357460256, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_214", "improvement_over_parent": null }, "node_216": { "node_id": "node_216", "content": "MODIFICATION: Increase 8 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 224.59 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 224.59411240112928, "fos_buckling": 1.5687963738509683, "fos_yielding": 4.157009231213783, "deflection": 0.0014487304544399068, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.276)" }, "parent_node_id": "node_215", "improvement_over_parent": null }, "node_217": { "node_id": "node_217", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_216", "improvement_over_parent": null }, "node_218": { "node_id": "node_218", "content": "INITIAL DESIGN (Trace 31)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0031)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n\nPerformance:\n Mass: 126.52 kg\n Factor of Safety: 0.97\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": 126.51553716564692, "fos_buckling": 0.966511315373509, "fos_yielding": 2.3643327153304217, "deflection": 0.0025386838891888765, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_219": { "node_id": "node_219", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 165.63 kg\n Factor of Safety: 1.23\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.62672986826072, "fos_buckling": 1.2251083465550032, "fos_yielding": 3.0929759561055903, "deflection": 0.0019440686406985875, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.330)" }, "parent_node_id": "node_218", "improvement_over_parent": null }, "node_220": { "node_id": "node_220", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 189.55 kg\n Factor of Safety: 1.37\n Max Deflection: 1.70e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.54649905730994, "fos_buckling": 1.3740181395153719, "fos_yielding": 3.5380692805536187, "deflection": 0.0017013420902730536, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.156)" }, "parent_node_id": "node_219", "improvement_over_parent": null }, "node_221": { "node_id": "node_221", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 222.69 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 222.68661104889418, "fos_buckling": 1.5688036557299017, "fos_yielding": 4.154059981274667, "deflection": 0.0014512226913697861, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.192)" }, "parent_node_id": "node_220", "improvement_over_parent": null }, "node_222": { "node_id": "node_222", "content": "MODIFICATION: Increase 2 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.28 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.28202509812485, "fos_buckling": 1.5681498075109341, "fos_yielding": 4.15180174254123, "deflection": 0.001450283670785474, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.221)" }, "parent_node_id": "node_221", "improvement_over_parent": null }, "node_223": { "node_id": "node_223", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_222", "improvement_over_parent": null }, "node_224": { "node_id": "node_224", "content": "INITIAL DESIGN (Trace 32)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 160.79 kg\n Factor of Safety: 0.04\n Max Deflection: 1.48e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.78686948916103, "fos_buckling": 0.03933293467682539, "fos_yielding": 1.08126794842885, "deflection": 14813119723931.18, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_225": { "node_id": "node_225", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 203.44 kg\n Factor of Safety: 0.71\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.43883784053443, "fos_buckling": 0.7114887930030753, "fos_yielding": 4.09012401017341, "deflection": 0.0016855211008179325, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_224", "improvement_over_parent": null }, "node_226": { "node_id": "node_226", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 208.61 kg\n Factor of Safety: 0.80\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.6131807172631, "fos_buckling": 0.8006975343522299, "fos_yielding": 4.101458924222598, "deflection": 0.001646868434142313, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_225", "improvement_over_parent": null }, "node_227": { "node_id": "node_227", "content": "MODIFICATION: Increase 7 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0040)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 212.72 kg\n Factor of Safety: 0.69\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.7174676352443, "fos_buckling": 0.6894113390205258, "fos_yielding": 4.085839962002863, "deflection": 0.0016371904056221391, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.555)" }, "parent_node_id": "node_226", "improvement_over_parent": null }, "node_228": { "node_id": "node_228", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_227", "improvement_over_parent": null }, "node_229": { "node_id": "node_229", "content": "INITIAL DESIGN (Trace 33)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, 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_230": { "node_id": "node_230", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n\nPerformance:\n Mass: 152.00 kg\n Factor of Safety: 1.02\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": 151.99577197290392, "fos_buckling": 1.0150645049701723, "fos_yielding": 3.309903494711565, "deflection": 0.0021097397353377254, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001521)" }, "parent_node_id": "node_229", "improvement_over_parent": null }, "node_231": { "node_id": "node_231", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 193.01 kg\n Factor of Safety: 1.25\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.00856771262843, "fos_buckling": 1.2531123261196633, "fos_yielding": 4.197161856899782, "deflection": 0.0016681880630325008, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.295)" }, "parent_node_id": "node_230", "improvement_over_parent": null }, "node_232": { "node_id": "node_232", "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0074)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.25\n Max Deflection: 1.57e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.9281728670099, "fos_buckling": 1.2516666519698205, "fos_yielding": 4.197161856899782, "deflection": 0.0015706885191035845, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.290)" }, "parent_node_id": "node_231", "improvement_over_parent": null }, "node_233": { "node_id": "node_233", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0074)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 212.54 kg\n Factor of Safety: 0.91\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.54127748177055, "fos_buckling": 0.9123504815370491, "fos_yielding": 4.113265666264969, "deflection": 0.0014984258729473239, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_232", "improvement_over_parent": null }, "node_234": { "node_id": "node_234", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0074)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 225.09 kg\n Factor of Safety: 1.01\n Max Deflection: 1.48e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 225.0896351018668, "fos_buckling": 1.0094356529779465, "fos_yielding": 4.120975579404102, "deflection": 0.001475489331327103, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_233", "improvement_over_parent": null }, "node_235": { "node_id": "node_235", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_234", "improvement_over_parent": null }, "node_236": { "node_id": "node_236", "content": "INITIAL DESIGN (Trace 34)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n\nPerformance:\n Mass: 113.40 kg\n Factor of Safety: 0.89\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": 113.39852143164545, "fos_buckling": 0.8886496800604268, "fos_yielding": 2.2430428280257004, "deflection": 0.002948096508258669, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_237": { "node_id": "node_237", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 148.67 kg\n Factor of Safety: 1.13\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": 148.66631401073562, "fos_buckling": 1.129375571979705, "fos_yielding": 2.9380835679918342, "deflection": 0.002252560577902445, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.330)" }, "parent_node_id": "node_236", "improvement_over_parent": null }, "node_238": { "node_id": "node_238", "content": "MODIFICATION: Increase 0 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 152.18 kg\n Factor of Safety: 1.13\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": 152.18305070773607, "fos_buckling": 1.128954446845103, "fos_yielding": 2.938083567991834, "deflection": 0.002098459788456089, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.414)" }, "parent_node_id": "node_237", "improvement_over_parent": null }, "node_239": { "node_id": "node_239", "content": "MODIFICATION: Increase 8 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 153.74 kg\n Factor of Safety: 1.13\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": 153.74031155225026, "fos_buckling": 1.128768066977787, "fos_yielding": 2.9380835679918347, "deflection": 0.0020924307684957364, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.229)" }, "parent_node_id": "node_238", "improvement_over_parent": null }, "node_240": { "node_id": "node_240", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 180.72 kg\n Factor of Safety: 1.30\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.7219341266262, "fos_buckling": 1.2962851150751686, "fos_yielding": 3.4525435566235494, "deflection": 0.00178330340614678, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.189)" }, "parent_node_id": "node_239", "improvement_over_parent": null }, "node_241": { "node_id": "node_241", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 219.56 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 219.5640150957153, "fos_buckling": 1.5216739388777134, "fos_yielding": 4.192531751208727, "deflection": 0.0014717024804133444, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.236)" }, "parent_node_id": "node_240", "improvement_over_parent": null }, "node_242": { "node_id": "node_242", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.12 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.1184224314133, "fos_buckling": 1.5672494044640515, "fos_yielding": 4.148750991911163, "deflection": 0.0014514779024067228, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_241", "improvement_over_parent": null }, "node_243": { "node_id": "node_243", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_242", "improvement_over_parent": null }, "node_244": { "node_id": "node_244", "content": "INITIAL DESIGN (Trace 35)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0005)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 110.49 kg\n Factor of Safety: 0.02\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 110.48936705032436, "fos_buckling": 0.020281935236983385, "fos_yielding": 0.44006192885148204, "deflection": 0.012241550575375319, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_245": { "node_id": "node_245", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0005)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n\nPerformance:\n Mass: 137.59 kg\n Factor of Safety: 0.78\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": 137.59128274088846, "fos_buckling": 0.7824368287053476, "fos_yielding": 2.5895789767150865, "deflection": 0.002328314016505655, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003461)" }, "parent_node_id": "node_244", "improvement_over_parent": null }, "node_246": { "node_id": "node_246", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0007)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n\nPerformance:\n Mass: 180.08 kg\n Factor of Safety: 0.99\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.08465594145966, "fos_buckling": 0.9943173610859238, "fos_yielding": 3.3865993819469287, "deflection": 0.0017838248235806347, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.332)" }, "parent_node_id": "node_245", "improvement_over_parent": null }, "node_247": { "node_id": "node_247", "content": "MODIFICATION: Increase 2 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n\nPerformance:\n Mass: 180.67 kg\n Factor of Safety: 1.20\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.6683844049135, "fos_buckling": 1.202800558045845, "fos_yielding": 3.3827092116931965, "deflection": 0.0017811625048677285, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.439)" }, "parent_node_id": "node_246", "improvement_over_parent": null }, "node_248": { "node_id": "node_248", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 222.15 kg\n Factor of Safety: 1.43\n Max Deflection: 1.45e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 222.14773132123736, "fos_buckling": 1.4253180223586341, "fos_yielding": 4.1560089552659365, "deflection": 0.0014524629876610255, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.252)" }, "parent_node_id": "node_247", "improvement_over_parent": null }, "node_249": { "node_id": "node_249", "content": "MODIFICATION: Increase 2 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25638395512772, "fos_buckling": 1.5679842877889958, "fos_yielding": 4.151261388689659, "deflection": 0.001450450426054382, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.497)" }, "parent_node_id": "node_248", "improvement_over_parent": null }, "node_250": { "node_id": "node_250", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 129.58 kg\n Factor of Safety: 0.83\n Max Deflection: 4.33e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.5810932888723, "fos_buckling": 0.8259641861100505, "fos_yielding": 0.993062897442376, "deflection": 43274671426896.914, "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: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 134.42 kg\n Factor of Safety: 0.04\n Max Deflection: 5.83e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.41674402933543, "fos_buckling": 0.03823338638958922, "fos_yielding": 0.5512767230240074, "deflection": 58329840245283.8, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001975)" }, "parent_node_id": "node_251", "improvement_over_parent": null }, "node_253": { "node_id": "node_253", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n\nPerformance:\n Mass: 168.69 kg\n Factor of Safety: 1.25\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.68911394878478, "fos_buckling": 1.2476924117313473, "fos_yielding": 3.299687191411502, "deflection": 0.0018648306091731655, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004443)" }, "parent_node_id": "node_252", "improvement_over_parent": null }, "node_254": { "node_id": "node_254", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 175.46 kg\n Factor of Safety: 1.28\n Max Deflection: 1.84e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.45652260925135, "fos_buckling": 1.283638640036834, "fos_yielding": 3.2652921897251694, "deflection": 0.0018400374307888042, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001974)" }, "parent_node_id": "node_253", "improvement_over_parent": null }, "node_255": { "node_id": "node_255", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.25 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.24683582645596, "fos_buckling": 1.567946447202713, "fos_yielding": 4.151137440339119, "deflection": 0.0014505046130601795, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_254", "improvement_over_parent": null }, "node_256": { "node_id": "node_256", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_255", "improvement_over_parent": null }, "node_257": { "node_id": "node_257", "content": "INITIAL DESIGN (Trace 37)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n\nPerformance:\n Mass: 142.86 kg\n Factor of Safety: 0.05\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.85730968460553, "fos_buckling": 0.05109914422784399, "fos_yielding": 1.2248212909567948, "deflection": 0.01174053891299182, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_258": { "node_id": "node_258", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 177.78 kg\n Factor of Safety: 1.26\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.78007523742127, "fos_buckling": 1.2574223373950675, "fos_yielding": 3.443732262599712, "deflection": 0.0018534745739166546, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004592)" }, "parent_node_id": "node_257", "improvement_over_parent": null }, "node_259": { "node_id": "node_259", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 182.82 kg\n Factor of Safety: 1.33\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.8180275371246, "fos_buckling": 1.329202099327953, "fos_yielding": 3.401892562289549, "deflection": 0.0017667850045496453, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002064)" }, "parent_node_id": "node_258", "improvement_over_parent": null }, "node_260": { "node_id": "node_260", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.11 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.11109786065026, "fos_buckling": 1.5671455318389007, "fos_yielding": 4.14868072333738, "deflection": 0.0014513900481721935, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.242)" }, "parent_node_id": "node_259", "improvement_over_parent": null }, "node_261": { "node_id": "node_261", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_260", "improvement_over_parent": null }, "node_262": { "node_id": "node_262", "content": "INITIAL DESIGN (Trace 38)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n\nPerformance:\n Mass: 145.78 kg\n Factor of Safety: 0.82\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": 145.78400247038098, "fos_buckling": 0.8162798458202802, "fos_yielding": 2.996811976122129, "deflection": 0.002454494385010965, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_263": { "node_id": "node_263", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n\nPerformance:\n Mass: 149.53 kg\n Factor of Safety: 0.76\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": 149.52748764524603, "fos_buckling": 0.7560078024251653, "fos_yielding": 3.0147231758648285, "deflection": 0.0022884160968334915, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001674)" }, "parent_node_id": "node_262", "improvement_over_parent": null }, "node_264": { "node_id": "node_264", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n\nPerformance:\n Mass: 167.27 kg\n Factor of Safety: 0.83\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": 167.2670420127412, "fos_buckling": 0.8332386760706634, "fos_yielding": 3.369490234754408, "deflection": 0.002046826797212435, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.127)" }, "parent_node_id": "node_263", "improvement_over_parent": null }, "node_265": { "node_id": "node_265", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 206.97 kg\n Factor of Safety: 1.00\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.97088272169793, "fos_buckling": 0.9969511943981513, "fos_yielding": 4.161045582172919, "deflection": 0.0016560899371141338, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.259)" }, "parent_node_id": "node_264", "improvement_over_parent": null }, "node_266": { "node_id": "node_266", "content": "MODIFICATION: Increase 1 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 210.98 kg\n Factor of Safety: 1.14\n Max Deflection: 1.60e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.9782681057482, "fos_buckling": 1.1404751546357912, "fos_yielding": 4.157684331580001, "deflection": 0.0015967206460713473, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.325)" }, "parent_node_id": "node_265", "improvement_over_parent": null }, "node_267": { "node_id": "node_267", "content": "MODIFICATION: Increase 10 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0034)]\n\nPerformance:\n Mass: 212.95 kg\n Factor of Safety: 1.24\n Max Deflection: 1.59e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.95214502511996, "fos_buckling": 1.2354817660690682, "fos_yielding": 4.1590190315397395, "deflection": 0.0015910594550470139, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.439)" }, "parent_node_id": "node_266", "improvement_over_parent": null }, "node_268": { "node_id": "node_268", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 39)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 141.75 kg\n Factor of Safety: 0.74\n Max Deflection: 2.26e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.7516396883546, "fos_buckling": 0.7398063920921428, "fos_yielding": 2.9466016248894995, "deflection": 0.002260448690806179, "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: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 149.21 kg\n Factor of Safety: 1.10\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.20900953267466, "fos_buckling": 1.1006809557400206, "fos_yielding": 2.9659867641318045, "deflection": 0.0020892184319991976, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.335)" }, "parent_node_id": "node_269", "improvement_over_parent": null }, "node_271": { "node_id": "node_271", "content": "MODIFICATION: Increase 8 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 150.60 kg\n Factor of Safety: 1.03\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": 150.60179340134417, "fos_buckling": 1.028235733414408, "fos_yielding": 2.961354629041725, "deflection": 0.0020842790456838465, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.311)" }, "parent_node_id": "node_270", "improvement_over_parent": null }, "node_272": { "node_id": "node_272", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n\nPerformance:\n Mass: 159.57 kg\n Factor of Safety: 1.18\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": 159.56971832246887, "fos_buckling": 1.1830739702780408, "fos_yielding": 2.970711991504975, "deflection": 0.002021348843477013, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002153)" }, "parent_node_id": "node_271", "improvement_over_parent": null }, "node_273": { "node_id": "node_273", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nPerformance:\n Mass: 178.43 kg\n Factor of Safety: 1.30\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.429966533928, "fos_buckling": 1.3022201010041363, "fos_yielding": 3.3207113939466715, "deflection": 0.001809842964735, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.127)" }, "parent_node_id": "node_272", "improvement_over_parent": null }, "node_274": { "node_id": "node_274", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.29 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.28537838107874, "fos_buckling": 1.568258893574482, "fos_yielding": 4.152166938912803, "deflection": 0.001450358422300529, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.276)" }, "parent_node_id": "node_273", "improvement_over_parent": null }, "node_275": { "node_id": "node_275", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_274", "improvement_over_parent": null }, "node_276": { "node_id": "node_276", "content": "INITIAL DESIGN (Trace 40)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 179.60 kg\n Factor of Safety: 1.15\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.60289411955011, "fos_buckling": 1.1500991048554245, "fos_yielding": 3.398781746305834, "deflection": 0.0017773604610903044, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_277": { "node_id": "node_277", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 219.73 kg\n Factor of Safety: 1.36\n Max Deflection: 1.46e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 219.73045621527987, "fos_buckling": 1.3601209427718501, "fos_yielding": 4.1542061400404595, "deflection": 0.0014567500356955957, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.245)" }, "parent_node_id": "node_276", "improvement_over_parent": null }, "node_278": { "node_id": "node_278", "content": "MODIFICATION: Increase 2 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 220.94 kg\n Factor of Safety: 1.56\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 220.9407188300206, "fos_buckling": 1.5585515533356564, "fos_yielding": 4.148776209677375, "deflection": 0.0014543839549630716, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.567)" }, "parent_node_id": "node_277", "improvement_over_parent": null }, "node_279": { "node_id": "node_279", "content": "MODIFICATION: Increase 9 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.18 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.17664930332165, "fos_buckling": 1.5675474938603593, "fos_yielding": 4.149728631295322, "deflection": 0.0014509948182985784, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.238)" }, "parent_node_id": "node_278", "improvement_over_parent": null }, "node_280": { "node_id": "node_280", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_279", "improvement_over_parent": null }, "node_281": { "node_id": "node_281", "content": "INITIAL DESIGN (Trace 41)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0009)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 143.26 kg\n Factor of Safety: 0.05\n Max Deflection: 7.46e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.26432339337174, "fos_buckling": 0.05188945535130563, "fos_yielding": 1.2313135742598267, "deflection": 0.007457412119564292, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_282": { "node_id": "node_282", "content": "MODIFICATION: Increase 3 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 144.27 kg\n Factor of Safety: 0.05\n Max Deflection: 7.46e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.26785487381323, "fos_buckling": 0.051883924794846166, "fos_yielding": 1.2311823366279102, "deflection": 0.007458091721024246, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.534)" }, "parent_node_id": "node_281", "improvement_over_parent": null }, "node_283": { "node_id": "node_283", "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 148.11 kg\n Factor of Safety: 0.05\n Max Deflection: 7.32e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.1104538165892, "fos_buckling": 0.05186275876564436, "fos_yielding": 1.2306800762188748, "deflection": 0.007324738692975649, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.385)" }, "parent_node_id": "node_282", "improvement_over_parent": null }, "node_284": { "node_id": "node_284", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 178.07 kg\n Factor of Safety: 0.06\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.07057462643925, "fos_buckling": 0.060383671576349406, "fos_yielding": 1.4763254793018636, "deflection": 0.00610324480646792, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.222)" }, "parent_node_id": "node_283", "improvement_over_parent": null }, "node_285": { "node_id": "node_285", "content": "MODIFICATION: Increase 3 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 179.64 kg\n Factor of Safety: 0.06\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.64209916212602, "fos_buckling": 0.060373620110440215, "fos_yielding": 1.4760797301640805, "deflection": 0.006103087149231976, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.479)" }, "parent_node_id": "node_284", "improvement_over_parent": null }, "node_286": { "node_id": "node_286", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.25 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25315340488672, "fos_buckling": 1.5679592387920014, "fos_yielding": 4.151254157203625, "deflection": 0.001450443832637274, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_285", "improvement_over_parent": null }, "node_287": { "node_id": "node_287", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_286", "improvement_over_parent": null }, "node_288": { "node_id": "node_288", "content": "INITIAL DESIGN (Trace 42)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 158.73 kg\n Factor of Safety: 0.15\n Max Deflection: 9.46e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.7291692895754, "fos_buckling": 0.14723870742938916, "fos_yielding": 1.734535134982623, "deflection": 9463797172425.613, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_289": { "node_id": "node_289", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 171.28 kg\n Factor of Safety: 0.15\n Max Deflection: 1.02e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.27752690967165, "fos_buckling": 0.14723870742938916, "fos_yielding": 2.1625358968577, "deflection": 10154124455822.373, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_288", "improvement_over_parent": null }, "node_290": { "node_id": "node_290", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 174.83 kg\n Factor of Safety: 0.06\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.83193424536967, "fos_buckling": 0.06039671780658229, "fos_yielding": 1.4766240916775086, "deflection": 0.006101194801804464, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_289", "improvement_over_parent": null }, "node_291": { "node_id": "node_291", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 218.44 kg\n Factor of Safety: 1.16\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.44298848813037, "fos_buckling": 1.157973194782844, "fos_yielding": 4.129629953937688, "deflection": 0.0015363753104290687, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_290", "improvement_over_parent": null }, "node_292": { "node_id": "node_292", "content": "MODIFICATION: Increase 0 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.26232323789282, "fos_buckling": 1.5680119025123551, "fos_yielding": 4.151356986491576, "deflection": 0.0014503906541063522, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.403)" }, "parent_node_id": "node_291", "improvement_over_parent": null }, "node_293": { "node_id": "node_293", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_292", "improvement_over_parent": null }, "node_294": { "node_id": "node_294", "content": "INITIAL DESIGN (Trace 43)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 127.91 kg\n Factor of Safety: 0.40\n Max Deflection: 4.90e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.90743581071631, "fos_buckling": 0.3957760767851247, "fos_yielding": 3.3958246350453916, "deflection": 4901895688745.263, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_295": { "node_id": "node_295", "content": "MODIFICATION: Increase 1 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 131.29 kg\n Factor of Safety: 1.27\n Max Deflection: 4.90e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.28835698229818, "fos_buckling": 1.2683296594494058, "fos_yielding": 3.3950968184448613, "deflection": 4903659638563.51, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.335)" }, "parent_node_id": "node_294", "improvement_over_parent": null }, "node_296": { "node_id": "node_296", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 161.90 kg\n Factor of Safety: 0.03\n Max Deflection: 8.67e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.89850342915838, "fos_buckling": 0.02949766292167544, "fos_yielding": 0.8671944687728975, "deflection": 86682475770868.5, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.256)" }, "parent_node_id": "node_295", "improvement_over_parent": null }, "node_297": { "node_id": "node_297", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 204.55 kg\n Factor of Safety: 1.46\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.55047178053178, "fos_buckling": 1.4596005594058385, "fos_yielding": 4.182097170865883, "deflection": 0.0015207730607300876, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_296", "improvement_over_parent": null }, "node_298": { "node_id": "node_298", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 217.10 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.09882940062803, "fos_buckling": 1.4845659149590535, "fos_yielding": 4.201590118676197, "deflection": 0.0015204902243030716, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_297", "improvement_over_parent": null }, "node_299": { "node_id": "node_299", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.25 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25264413892586, "fos_buckling": 1.568046374384087, "fos_yielding": 4.150984558517024, "deflection": 0.0014504384175504214, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_298", "improvement_over_parent": null }, "node_300": { "node_id": "node_300", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_299", "improvement_over_parent": null }, "node_301": { "node_id": "node_301", "content": "INITIAL DESIGN (Trace 44)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0018)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0007)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 130.61 kg\n Factor of Safety: 0.61\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": 130.60661869995172, "fos_buckling": 0.6142892956334661, "fos_yielding": 2.5662670866757655, "deflection": 0.0026068332762414406, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_302": { "node_id": "node_302", "content": "MODIFICATION: Increase 2 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0018)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0007)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 131.04 kg\n Factor of Safety: 0.62\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": 131.0391729455093, "fos_buckling": 0.6176674791317596, "fos_yielding": 2.5641766464324736, "deflection": 0.0026039824627890774, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.258)" }, "parent_node_id": "node_301", "improvement_over_parent": null }, "node_303": { "node_id": "node_303", "content": "MODIFICATION: Increase 3 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0018)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0009)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 131.37 kg\n Factor of Safety: 0.69\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": 131.37307554421722, "fos_buckling": 0.6892041926800883, "fos_yielding": 2.564703403421192, "deflection": 0.0025985192464024727, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.200)" }, "parent_node_id": "node_302", "improvement_over_parent": null }, "node_304": { "node_id": "node_304", "content": "MODIFICATION: Increase 1 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0009)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 134.54 kg\n Factor of Safety: 0.83\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": 134.54498714613226, "fos_buckling": 0.8258365944863043, "fos_yielding": 2.5620080603987145, "deflection": 0.0024485632969446867, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.435)" }, "parent_node_id": "node_303", "improvement_over_parent": null }, "node_305": { "node_id": "node_305", "content": "MODIFICATION: Increase 0 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0009)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 137.05 kg\n Factor of Safety: 0.90\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": 137.04698775681726, "fos_buckling": 0.9035805064516615, "fos_yielding": 2.57268367032268, "deflection": 0.0023388367950261733, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.307)" }, "parent_node_id": "node_304", "improvement_over_parent": null }, "node_306": { "node_id": "node_306", "content": "MODIFICATION: Increase 3 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 138.19 kg\n Factor of Safety: 1.04\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": 138.18965114505895, "fos_buckling": 1.0427435506864673, "fos_yielding": 2.573601276764005, "deflection": 0.002330920746604451, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.585)" }, "parent_node_id": "node_305", "improvement_over_parent": null }, "node_307": { "node_id": "node_307", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 173.15 kg\n Factor of Safety: 1.27\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.1466375884653, "fos_buckling": 1.2692541116167255, "fos_yielding": 3.222611931783131, "deflection": 0.0018644383704019764, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.271)" }, "parent_node_id": "node_306", "improvement_over_parent": null }, "node_308": { "node_id": "node_308", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.46 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.4619333678577, "fos_buckling": 1.569228957766694, "fos_yielding": 4.155339829238363, "deflection": 0.0014492229924700365, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_307", "improvement_over_parent": null }, "node_309": { "node_id": "node_309", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_308", "improvement_over_parent": null }, "node_310": { "node_id": "node_310", "content": "INITIAL DESIGN (Trace 45)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0009)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0022)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 102.92 kg\n Factor of Safety: 0.16\n Max Deflection: 5.46e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 102.91695493085575, "fos_buckling": 0.1570260537689301, "fos_yielding": 1.9110416443889826, "deflection": 5463294059541.649, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_311": { "node_id": "node_311", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0009)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0022)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n\nPerformance:\n Mass: 105.16 kg\n Factor of Safety: 0.04\n Max Deflection: 9.62e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 105.16184212977778, "fos_buckling": 0.04085558322889004, "fos_yielding": 0.936651151828285, "deflection": 0.009623107139969812, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001201)" }, "parent_node_id": "node_310", "improvement_over_parent": null }, "node_312": { "node_id": "node_312", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n\nPerformance:\n Mass: 132.41 kg\n Factor of Safety: 0.05\n Max Deflection: 7.66e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.40602060997853, "fos_buckling": 0.04988001730536515, "fos_yielding": 1.1759478865652044, "deflection": 0.007661613489641534, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.277)" }, "parent_node_id": "node_311", "improvement_over_parent": null }, "node_313": { "node_id": "node_313", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 166.84 kg\n Factor of Safety: 0.06\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.8393543503714, "fos_buckling": 0.060383760512086895, "fos_yielding": 1.4763369526580803, "deflection": 0.00609945180290894, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.284)" }, "parent_node_id": "node_312", "improvement_over_parent": null }, "node_314": { "node_id": "node_314", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n\nPerformance:\n Mass: 203.09 kg\n Factor of Safety: 1.00\n Max Deflection: 1.57e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.0857233521983, "fos_buckling": 1.003798120572303, "fos_yielding": 3.162129076363944, "deflection": 0.0015681454414832796, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004719)" }, "parent_node_id": "node_313", "improvement_over_parent": null }, "node_315": { "node_id": "node_315", "content": "MODIFICATION: Increase 3 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0101)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n\nPerformance:\n Mass: 222.22 kg\n Factor of Safety: 0.64\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 222.21909422068646, "fos_buckling": 0.6442253819033013, "fos_yielding": 3.1695237666602414, "deflection": 0.0015440341830498662, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.642)" }, "parent_node_id": "node_314", "improvement_over_parent": null }, "node_316": { "node_id": "node_316", "content": "MODIFICATION: Increase 7 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0101)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0038)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n\nPerformance:\n Mass: 224.70 kg\n Factor of Safety: 0.64\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 224.69500049145446, "fos_buckling": 0.6437942013362448, "fos_yielding": 3.168367221762571, "deflection": 0.001544116812452349, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.222)" }, "parent_node_id": "node_315", "improvement_over_parent": null }, "node_317": { "node_id": "node_317", "content": "MODIFICATION: Increase 6 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0101)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0038)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n\nPerformance:\n Mass: 229.18 kg\n Factor of Safety: 0.55\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 229.1790442020336, "fos_buckling": 0.5458768057430314, "fos_yielding": 3.1719732646431815, "deflection": 0.001532739488663494, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.610)" }, "parent_node_id": "node_316", "improvement_over_parent": null }, "node_318": { "node_id": "node_318", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_317", "improvement_over_parent": null }, "node_319": { "node_id": "node_319", "content": "INITIAL DESIGN (Trace 46)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, 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_320": { "node_id": "node_320", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n\nPerformance:\n Mass: 140.07 kg\n Factor of Safety: 0.04\n Max Deflection: 4.21e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.06872303533558, "fos_buckling": 0.0378765736064035, "fos_yielding": 0.540633974214425, "deflection": 42088364977690.49, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001963)" }, "parent_node_id": "node_319", "improvement_over_parent": null }, "node_321": { "node_id": "node_321", "content": "MODIFICATION: Increase 2 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n\nPerformance:\n Mass: 141.05 kg\n Factor of Safety: 0.15\n Max Deflection: 8.92e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.04903043059875, "fos_buckling": 0.151506294425614, "fos_yielding": 2.1625358968576998, "deflection": 8918360609426.096, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.527)" }, "parent_node_id": "node_320", "improvement_over_parent": null }, "node_322": { "node_id": "node_322", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 168.15 kg\n Factor of Safety: 0.26\n Max Deflection: 7.48e+12 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.1453818442309, "fos_buckling": 0.25744080971370387, "fos_yielding": 3.8659340150477233, "deflection": 7482277032431.418, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.211)" }, "parent_node_id": "node_321", "improvement_over_parent": null }, "node_323": { "node_id": "node_323", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 180.69 kg\n Factor of Safety: 0.13\n Max Deflection: 4.84e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.69373946432717, "fos_buckling": 0.12792984214290393, "fos_yielding": 2.149254240002044, "deflection": 0.004835158717650618, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_322", "improvement_over_parent": null }, "node_324": { "node_id": "node_324", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.35 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.34570781570056, "fos_buckling": 1.5681397578192513, "fos_yielding": 4.15340543553873, "deflection": 0.0014499060696337124, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_323", "improvement_over_parent": null }, "node_325": { "node_id": "node_325", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_324", "improvement_over_parent": null }, "node_326": { "node_id": "node_326", "content": "INITIAL DESIGN (Trace 47)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 143.24 kg\n Factor of Safety: 1.06\n Max Deflection: 2.26e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.23842619897573, "fos_buckling": 1.0578124171000498, "fos_yielding": 2.8252520976465356, "deflection": 0.0022565394193337844, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_327": { "node_id": "node_327", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 179.00 kg\n Factor of Safety: 1.28\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.0046229228819, "fos_buckling": 1.282054453737952, "fos_yielding": 3.5274269015421167, "deflection": 0.00180908250351723, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.269)" }, "parent_node_id": "node_326", "improvement_over_parent": null }, "node_328": { "node_id": "node_328", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 213.12 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.12073766781003, "fos_buckling": 1.4812484291647177, "fos_yielding": 4.195929159181484, "deflection": 0.0015222432235288612, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.209)" }, "parent_node_id": "node_327", "improvement_over_parent": null }, "node_329": { "node_id": "node_329", "content": "MODIFICATION: Increase 7 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 215.48 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.47613499535464, "fos_buckling": 1.482116602730928, "fos_yielding": 4.195714038727408, "deflection": 0.0015222334285979167, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.414)" }, "parent_node_id": "node_328", "improvement_over_parent": null }, "node_330": { "node_id": "node_330", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 221.63 kg\n Factor of Safety: 1.48\n Max Deflection: 1.46e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.62994973365247, "fos_buckling": 1.4829101113758636, "fos_yielding": 4.14504884688425, "deflection": 0.0014554942177826629, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_329", "improvement_over_parent": null }, "node_331": { "node_id": "node_331", "content": "MODIFICATION: Increase 3 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 222.98 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 222.97791855132945, "fos_buckling": 1.5664397689610499, "fos_yielding": 4.146040076104064, "deflection": 0.001452246845581759, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.387)" }, "parent_node_id": "node_330", "improvement_over_parent": null }, "node_332": { "node_id": "node_332", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_331", "improvement_over_parent": null }, "node_333": { "node_id": "node_333", "content": "INITIAL DESIGN (Trace 48)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n\nPerformance:\n Mass: 165.56 kg\n Factor of Safety: 0.18\n Max Deflection: 5.81e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.55935643161743, "fos_buckling": 0.17624877842992215, "fos_yielding": 4.314629747579289, "deflection": 5807790453927.693, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_334": { "node_id": "node_334", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 178.11 kg\n Factor of Safety: 0.13\n Max Deflection: 4.84e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.10771405171369, "fos_buckling": 0.12791811195728653, "fos_yielding": 2.148787021469935, "deflection": 0.004838044998786936, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_333", "improvement_over_parent": null }, "node_335": { "node_id": "node_335", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 220.76 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 220.75968240308708, "fos_buckling": 1.5675941566090743, "fos_yielding": 4.1586111587167, "deflection": 0.0014533633668542198, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_334", "improvement_over_parent": null }, "node_336": { "node_id": "node_336", "content": "MODIFICATION: Increase 8 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.26133621028112, "fos_buckling": 1.5680826662080756, "fos_yielding": 4.1513385361203925, "deflection": 0.0014504227359730263, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.449)" }, "parent_node_id": "node_335", "improvement_over_parent": null }, "node_337": { "node_id": "node_337", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_336", "improvement_over_parent": null }, "node_338": { "node_id": "node_338", "content": "INITIAL DESIGN (Trace 49)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M4: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 124.56 kg\n Factor of Safety: 1.03\n Max Deflection: 7.87e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.55671718057275, "fos_buckling": 1.0277429382526222, "fos_yielding": 2.8998111732459586, "deflection": 7870126075306.684, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_339": { "node_id": "node_339", "content": "MODIFICATION: Increase 0 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M4: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 126.98 kg\n Factor of Safety: 1.04\n Max Deflection: 1.04e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.97803239376134, "fos_buckling": 1.0442719525915274, "fos_yielding": 2.9464483416260134, "deflection": 10422067063378.836, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.215)" }, "parent_node_id": "node_338", "improvement_over_parent": null }, "node_340": { "node_id": "node_340", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M4: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 156.71 kg\n Factor of Safety: 0.36\n Max Deflection: 1.88e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.70653799307019, "fos_buckling": 0.3615852243819861, "fos_yielding": 2.1464873201454093, "deflection": 18752300184542.312, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.256)" }, "parent_node_id": "node_339", "improvement_over_parent": null }, "node_341": { "node_id": "node_341", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M4: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 162.86 kg\n Factor of Safety: 0.08\n Max Deflection: 1.25e+13 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.860352731368, "fos_buckling": 0.08347027553553456, "fos_yielding": 1.6841209536166006, "deflection": 12530448372242.113, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_340", "improvement_over_parent": null }, "node_342": { "node_id": "node_342", "content": "MODIFICATION: Increase 4 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M4: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 165.80 kg\n Factor of Safety: 0.04\n Max Deflection: 1.28e+13 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.80104010423526, "fos_buckling": 0.037127042342114655, "fos_yielding": 1.1630270604627175, "deflection": 12766225173737.746, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.391)" }, "parent_node_id": "node_341", "improvement_over_parent": null }, "node_343": { "node_id": "node_343", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M4: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 169.36 kg\n Factor of Safety: 0.06\n Max Deflection: 5.50e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.35544743993327, "fos_buckling": 0.06038050292578201, "fos_yielding": 1.476227658154249, "deflection": 0.005501862037517196, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_342", "improvement_over_parent": null }, "node_344": { "node_id": "node_344", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M4: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 174.53 kg\n Factor of Safety: 0.06\n Max Deflection: 5.49e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.52979031666194, "fos_buckling": 0.06034741973320072, "fos_yielding": 1.4754188155388013, "deflection": 0.005488647881776508, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_343", "improvement_over_parent": null }, "node_345": { "node_id": "node_345", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M4: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 218.14 kg\n Factor of Safety: 1.24\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.14084455942265, "fos_buckling": 1.2422453442691785, "fos_yielding": 3.5911237466498984, "deflection": 0.001471975922512323, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_344", "improvement_over_parent": null }, "node_346": { "node_id": "node_346", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_345", "improvement_over_parent": null }, "node_347": { "node_id": "node_347", "content": "INITIAL DESIGN (Trace 50)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0031)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 164.71 kg\n Factor of Safety: 0.91\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.71146317481356, "fos_buckling": 0.9127193154272838, "fos_yielding": 3.608960261483805, "deflection": 0.002099111276503546, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_348": { "node_id": "node_348", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0031)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n\nPerformance:\n Mass: 167.77 kg\n Factor of Safety: 0.61\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.7677298009879, "fos_buckling": 0.607145844588697, "fos_yielding": 3.5158461742275944, "deflection": 0.0019772165745739483, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001670)" }, "parent_node_id": "node_347", "improvement_over_parent": null }, "node_349": { "node_id": "node_349", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0031)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n\nPerformance:\n Mass: 178.56 kg\n Factor of Safety: 0.67\n Max Deflection: 1.93e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.55802400342262, "fos_buckling": 0.6745388768745662, "fos_yielding": 3.524865782594735, "deflection": 0.0019342207179377975, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002626)" }, "parent_node_id": "node_348", "improvement_over_parent": null }, "node_350": { "node_id": "node_350", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 207.81 kg\n Factor of Safety: 0.77\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.8056103275261, "fos_buckling": 0.7662041399543209, "fos_yielding": 4.097684723908317, "deflection": 0.0016630355345046556, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.179)" }, "parent_node_id": "node_349", "improvement_over_parent": null }, "node_351": { "node_id": "node_351", "content": "MODIFICATION: Increase 7 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 212.24 kg\n Factor of Safety: 0.65\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.2424476659129, "fos_buckling": 0.6544617879493723, "fos_yielding": 4.080488225153842, "deflection": 0.0016520562680091663, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.603)" }, "parent_node_id": "node_350", "improvement_over_parent": null }, "node_352": { "node_id": "node_352", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 51)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n\nPerformance:\n Mass: 131.33 kg\n Factor of Safety: 1.15\n Max Deflection: 8.79e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.3334033438238, "fos_buckling": 1.15113696949142, "fos_yielding": 3.286563333615335, "deflection": 8787840856391.816, "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: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 169.28 kg\n Factor of Safety: 1.15\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.27632919087128, "fos_buckling": 1.15113696949142, "fos_yielding": 3.286563333615335, "deflection": 0.0018216448290937388, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005023)" }, "parent_node_id": "node_353", "improvement_over_parent": null }, "node_355": { "node_id": "node_355", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n\nPerformance:\n Mass: 176.94 kg\n Factor of Safety: 0.94\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.93792186486098, "fos_buckling": 0.9368624122041647, "fos_yielding": 3.286563333615335, "deflection": 0.0017541804860322688, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002257)" }, "parent_node_id": "node_354", "improvement_over_parent": null }, "node_356": { "node_id": "node_356", "content": "MODIFICATION: Increase 0 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n\nPerformance:\n Mass: 180.60 kg\n Factor of Safety: 1.15\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.60074269966447, "fos_buckling": 1.15113696949142, "fos_yielding": 3.286563333615335, "deflection": 0.0016787386829121946, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.323)" }, "parent_node_id": "node_355", "improvement_over_parent": null }, "node_357": { "node_id": "node_357", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n\nPerformance:\n Mass: 191.77 kg\n Factor of Safety: 1.13\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.765723595241, "fos_buckling": 1.1331202395951654, "fos_yielding": 3.2351245166560973, "deflection": 0.0016533791332779216, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002725)" }, "parent_node_id": "node_356", "improvement_over_parent": null }, "node_358": { "node_id": "node_358", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 215.57 kg\n Factor of Safety: 1.26\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.5713862074282, "fos_buckling": 1.257997380399963, "fos_yielding": 3.6440505050501795, "deflection": 0.0014732547287407568, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.136)" }, "parent_node_id": "node_357", "improvement_over_parent": null }, "node_359": { "node_id": "node_359", "content": "MODIFICATION: Increase 6 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.22 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.21651487464638, "fos_buckling": 1.5678119191753677, "fos_yielding": 4.1502734328247985, "deflection": 0.0014507930661954137, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.368)" }, "parent_node_id": "node_358", "improvement_over_parent": null }, "node_360": { "node_id": "node_360", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_359", "improvement_over_parent": null }, "node_361": { "node_id": "node_361", "content": "INITIAL DESIGN (Trace 52)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n\nPerformance:\n Mass: 119.18 kg\n Factor of Safety: 0.93\n Max Deflection: 6.69e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.18195143963175, "fos_buckling": 0.9259112378799279, "fos_yielding": 2.246742758530351, "deflection": 6688491317967.952, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_362": { "node_id": "node_362", "content": "MODIFICATION: Increase 3 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n\nPerformance:\n Mass: 120.32 kg\n Factor of Safety: 0.93\n Max Deflection: 6.14e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.32105334869848, "fos_buckling": 0.9259112378799279, "fos_yielding": 2.246742758530351, "deflection": 6141540819599.733, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.397)" }, "parent_node_id": "node_361", "improvement_over_parent": null }, "node_363": { "node_id": "node_363", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 155.14 kg\n Factor of Safety: 0.93\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.1449747995483, "fos_buckling": 0.9259112378799279, "fos_yielding": 2.246742758530351, "deflection": 0.0019169303571906348, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004578)" }, "parent_node_id": "node_362", "improvement_over_parent": null }, "node_364": { "node_id": "node_364", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n\nPerformance:\n Mass: 165.39 kg\n Factor of Safety: 0.93\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.38993634574766, "fos_buckling": 0.9259112378799279, "fos_yielding": 2.246742758530351, "deflection": 0.0019169303571906348, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002483)" }, "parent_node_id": "node_363", "improvement_over_parent": null }, "node_365": { "node_id": "node_365", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 172.42 kg\n Factor of Safety: 0.93\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.42157246092947, "fos_buckling": 0.9298861794880635, "fos_yielding": 2.256388036509813, "deflection": 0.0019087361433128781, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002057)" }, "parent_node_id": "node_364", "improvement_over_parent": null }, "node_366": { "node_id": "node_366", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 211.36 kg\n Factor of Safety: 1.12\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.3619325948339, "fos_buckling": 1.1219930650360639, "fos_yielding": 2.780245716901202, "deflection": 0.0015490894824308455, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.247)" }, "parent_node_id": "node_365", "improvement_over_parent": null }, "node_367": { "node_id": "node_367", "content": "MODIFICATION: Increase 4 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.31 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.31106930559707, "fos_buckling": 1.5682311648041034, "fos_yielding": 4.153809642369197, "deflection": 0.0014501666089831863, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.567)" }, "parent_node_id": "node_366", "improvement_over_parent": null }, "node_368": { "node_id": "node_368", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_367", "improvement_over_parent": null }, "node_369": { "node_id": "node_369", "content": "INITIAL DESIGN (Trace 53)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n\nPerformance:\n Mass: 151.62 kg\n Factor of Safety: 0.86\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": 151.62219476486592, "fos_buckling": 0.857250886719143, "fos_yielding": 3.2759606249263062, "deflection": 0.0022246556853982276, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_370": { "node_id": "node_370", "content": "MODIFICATION: Increase 2 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n\nPerformance:\n Mass: 152.23 kg\n Factor of Safety: 0.86\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": 152.22719138520836, "fos_buckling": 0.8571953984262831, "fos_yielding": 3.275834632528504, "deflection": 0.002224799196040461, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.299)" }, "parent_node_id": "node_369", "improvement_over_parent": null }, "node_371": { "node_id": "node_371", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n\nPerformance:\n Mass: 155.93 kg\n Factor of Safety: 0.90\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": 155.93439416670017, "fos_buckling": 0.9022472106211084, "fos_yielding": 3.275834632528504, "deflection": 0.002090282120715294, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001489)" }, "parent_node_id": "node_370", "improvement_over_parent": null }, "node_372": { "node_id": "node_372", "content": "MODIFICATION: Increase 5 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n\nPerformance:\n Mass: 162.77 kg\n Factor of Safety: 0.76\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": 162.76675263912676, "fos_buckling": 0.763835263228057, "fos_yielding": 3.275834632528504, "deflection": 0.0020637565859625067, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.316)" }, "parent_node_id": "node_371", "improvement_over_parent": null }, "node_373": { "node_id": "node_373", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0075)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n\nPerformance:\n Mass: 208.54 kg\n Factor of Safety: 0.94\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.5377491981577, "fos_buckling": 0.9425877237311231, "fos_yielding": 4.195737038098777, "deflection": 0.0016117757490863246, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.309)" }, "parent_node_id": "node_372", "improvement_over_parent": null }, "node_374": { "node_id": "node_374", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0075)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 217.15 kg\n Factor of Safety: 0.96\n Max Deflection: 1.60e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.15085381291837, "fos_buckling": 0.9636579247065743, "fos_yielding": 4.170268367153452, "deflection": 0.001603029168662876, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_373", "improvement_over_parent": null }, "node_375": { "node_id": "node_375", "content": "MODIFICATION: Increase 10 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0075)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0038)]\n\nPerformance:\n Mass: 220.80 kg\n Factor of Safety: 0.95\n Max Deflection: 1.60e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 220.79959983058413, "fos_buckling": 0.9518899048415879, "fos_yielding": 4.165727879467583, "deflection": 0.0016019338936902473, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.490)" }, "parent_node_id": "node_374", "improvement_over_parent": null }, "node_376": { "node_id": "node_376", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_375", "improvement_over_parent": null }, "node_377": { "node_id": "node_377", "content": "INITIAL DESIGN (Trace 54)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0032)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0024)]\n\nPerformance:\n Mass: 121.74 kg\n Factor of Safety: 0.72\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": 121.73564198765303, "fos_buckling": 0.7219431836391803, "fos_yielding": 2.4253921793740294, "deflection": 0.0027954267338970913, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_378": { "node_id": "node_378", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n\nPerformance:\n Mass: 147.99 kg\n Factor of Safety: 0.86\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": 147.9942193716127, "fos_buckling": 0.8639674727605877, "fos_yielding": 2.945687061251848, "deflection": 0.0023020628360902844, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.229)" }, "parent_node_id": "node_377", "improvement_over_parent": null }, "node_379": { "node_id": "node_379", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n\nPerformance:\n Mass: 151.67 kg\n Factor of Safety: 0.94\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": 151.67052300197668, "fos_buckling": 0.94311392251756, "fos_yielding": 2.9595509688263917, "deflection": 0.002188735222052379, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001642)" }, "parent_node_id": "node_378", "improvement_over_parent": null }, "node_380": { "node_id": "node_380", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n\nPerformance:\n Mass: 192.60 kg\n Factor of Safety: 1.15\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.5957911302971, "fos_buckling": 1.153867711025315, "fos_yielding": 3.7525131059134895, "deflection": 0.001726821877583427, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.292)" }, "parent_node_id": "node_379", "improvement_over_parent": null }, "node_381": { "node_id": "node_381", "content": "MODIFICATION: Increase 10 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0028)]\n\nPerformance:\n Mass: 193.95 kg\n Factor of Safety: 1.20\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.9504234517197, "fos_buckling": 1.197791703044775, "fos_yielding": 3.753405212569376, "deflection": 0.0017224458191589878, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.325)" }, "parent_node_id": "node_380", "improvement_over_parent": null }, "node_382": { "node_id": "node_382", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0031)]\n\nPerformance:\n Mass: 215.19 kg\n Factor of Safety: 1.31\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.18678114492377, "fos_buckling": 1.3119617200210114, "fos_yielding": 4.161531865956416, "deflection": 0.0015538102950589303, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.120)" }, "parent_node_id": "node_381", "improvement_over_parent": null }, "node_383": { "node_id": "node_383", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_382", "improvement_over_parent": null }, "node_384": { "node_id": "node_384", "content": "INITIAL DESIGN (Trace 55)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0035)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, 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_385": { "node_id": "node_385", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0035)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n\nPerformance:\n Mass: 127.28 kg\n Factor of Safety: 0.98\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": 127.28249766933114, "fos_buckling": 0.97606853369673, "fos_yielding": 2.4909308434795827, "deflection": 0.0024645137916368518, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001124)" }, "parent_node_id": "node_384", "improvement_over_parent": null }, "node_386": { "node_id": "node_386", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n\nPerformance:\n Mass: 144.09 kg\n Factor of Safety: 1.09\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": 144.08766428161354, "fos_buckling": 1.0889991704249504, "fos_yielding": 2.819267840442789, "deflection": 0.0021795759512528985, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.140)" }, "parent_node_id": "node_385", "improvement_over_parent": null }, "node_387": { "node_id": "node_387", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n\nPerformance:\n Mass: 173.57 kg\n Factor of Safety: 1.28\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.56997276926668, "fos_buckling": 1.278256048890971, "fos_yielding": 3.394984354546709, "deflection": 0.0018130009144538195, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.220)" }, "parent_node_id": "node_386", "improvement_over_parent": null }, "node_388": { "node_id": "node_388", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 214.83 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 214.8254731114771, "fos_buckling": 1.5242599183235033, "fos_yielding": 4.199951200828049, "deflection": 0.0014689487562236357, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.261)" }, "parent_node_id": "node_387", "improvement_over_parent": null }, "node_389": { "node_id": "node_389", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.44 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.43857772623775, "fos_buckling": 1.5690688833392155, "fos_yielding": 4.15481119676225, "deflection": 0.0014492525314596955, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_388", "improvement_over_parent": null }, "node_390": { "node_id": "node_390", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_389", "improvement_over_parent": null }, "node_391": { "node_id": "node_391", "content": "INITIAL DESIGN (Trace 56)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n\nPerformance:\n Mass: 115.49 kg\n Factor of Safety: 0.90\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": 115.49134405161557, "fos_buckling": 0.8957207144294406, "fos_yielding": 2.2630957689417226, "deflection": 0.002928275283135381, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_392": { "node_id": "node_392", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0007)]\n\nPerformance:\n Mass: 116.75 kg\n Factor of Safety: 0.51\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": 116.75289852487954, "fos_buckling": 0.5084135491873203, "fos_yielding": 2.231403713593237, "deflection": 0.002865799458325791, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.000659)" }, "parent_node_id": "node_391", "improvement_over_parent": null }, "node_393": { "node_id": "node_393", "content": "MODIFICATION: Increase 2 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0007)]\n\nPerformance:\n Mass: 118.16 kg\n Factor of Safety: 0.52\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": 118.16165699572106, "fos_buckling": 0.5162867986918326, "fos_yielding": 2.23187765055782, "deflection": 0.002859657932442957, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.543)" }, "parent_node_id": "node_392", "improvement_over_parent": null }, "node_394": { "node_id": "node_394", "content": "MODIFICATION: Increase 0 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0007)]\n\nPerformance:\n Mass: 121.03 kg\n Factor of Safety: 0.85\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": 121.0347608458415, "fos_buckling": 0.8484139580351678, "fos_yielding": 2.243925528477207, "deflection": 0.002672409068717757, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.443)" }, "parent_node_id": "node_393", "improvement_over_parent": null }, "node_395": { "node_id": "node_395", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0022)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n\nPerformance:\n Mass: 139.72 kg\n Factor of Safety: 0.96\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": 139.71549210307677, "fos_buckling": 0.9635502142889147, "fos_yielding": 2.58972578747139, "deflection": 0.002317594241641697, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.163)" }, "parent_node_id": "node_394", "improvement_over_parent": null }, "node_396": { "node_id": "node_396", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0028)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0043)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n\nPerformance:\n Mass: 172.56 kg\n Factor of Safety: 1.16\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": 172.56477826678653, "fos_buckling": 1.1564720689916483, "fos_yielding": 3.197482723654503, "deflection": 0.0018799631725501206, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.252)" }, "parent_node_id": "node_395", "improvement_over_parent": null }, "node_397": { "node_id": "node_397", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n\nPerformance:\n Mass: 224.83 kg\n Factor of Safety: 1.44\n Max Deflection: 1.45e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 224.82638167130577, "fos_buckling": 1.4393133087370515, "fos_yielding": 4.1636096700231455, "deflection": 0.0014472508110078544, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.333)" }, "parent_node_id": "node_396", "improvement_over_parent": null }, "node_398": { "node_id": "node_398", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_397", "improvement_over_parent": null }, "node_399": { "node_id": "node_399", "content": "INITIAL DESIGN (Trace 57)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0009)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0022)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0025)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 124.27 kg\n Factor of Safety: 0.66\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": 124.2740687502242, "fos_buckling": 0.6617136140063409, "fos_yielding": 2.021160894070385, "deflection": 0.002591430843124708, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_400": { "node_id": "node_400", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0032)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 155.89 kg\n Factor of Safety: 0.80\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.88980255324893, "fos_buckling": 0.8046875910404457, "fos_yielding": 2.5426171663673798, "deflection": 0.0020691507514815125, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.271)" }, "parent_node_id": "node_399", "improvement_over_parent": null }, "node_401": { "node_id": "node_401", "content": "MODIFICATION: Increase 6 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0032)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 164.26 kg\n Factor of Safety: 0.90\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": 164.2601910763385, "fos_buckling": 0.9045741885280328, "fos_yielding": 3.268374226177887, "deflection": 0.002032908106030819, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.572)" }, "parent_node_id": "node_400", "improvement_over_parent": null }, "node_402": { "node_id": "node_402", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 207.91 kg\n Factor of Safety: 1.14\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.90703698356128, "fos_buckling": 1.1387852360094728, "fos_yielding": 4.128858829218935, "deflection": 0.0016085718879586207, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.290)" }, "parent_node_id": "node_401", "improvement_over_parent": null }, "node_403": { "node_id": "node_403", "content": "MODIFICATION: Increase 8 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 209.37 kg\n Factor of Safety: 1.08\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.37034268834253, "fos_buckling": 1.077619060893636, "fos_yielding": 4.123144459139955, "deflection": 0.0016056541697258538, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.225)" }, "parent_node_id": "node_402", "improvement_over_parent": null }, "node_404": { "node_id": "node_404", "content": "MODIFICATION: Increase 7 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 220.82 kg\n Factor of Safety: 1.38\n Max Deflection: 1.46e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 220.82063496617218, "fos_buckling": 1.382515521131159, "fos_yielding": 4.157351957430395, "deflection": 0.0014616344587411038, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.391)" }, "parent_node_id": "node_403", "improvement_over_parent": null }, "node_405": { "node_id": "node_405", "content": "MODIFICATION: Increase 5 thickness by 67%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.15 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.1492943704664, "fos_buckling": 1.567453332722273, "fos_yielding": 4.149537116050513, "deflection": 0.0014511357832395736, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.667)" }, "parent_node_id": "node_404", "improvement_over_parent": null }, "node_406": { "node_id": "node_406", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_405", "improvement_over_parent": null }, "node_407": { "node_id": "node_407", "content": "INITIAL DESIGN (Trace 58)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0035)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, 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_408": { "node_id": "node_408", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0035)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 110.47 kg\n Factor of Safety: 0.05\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 110.47023653603375, "fos_buckling": 0.05454356336910054, "fos_yielding": 1.0929801307549387, "deflection": 0.013030675287656826, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002230)" }, "parent_node_id": "node_407", "improvement_over_parent": null }, "node_409": { "node_id": "node_409", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0035)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n\nPerformance:\n Mass: 148.81 kg\n Factor of Safety: 0.12\n Max Deflection: 5.49e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.81349780059742, "fos_buckling": 0.11507462946684897, "fos_yielding": 1.8918631701613657, "deflection": 0.005488118960133805, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005015)" }, "parent_node_id": "node_408", "improvement_over_parent": null }, "node_410": { "node_id": "node_410", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0035)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n\nPerformance:\n Mass: 174.40 kg\n Factor of Safety: 0.91\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.3957548076781, "fos_buckling": 0.9105056093961708, "fos_yielding": 2.507830244748536, "deflection": 0.0018671393074982505, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.003297)" }, "parent_node_id": "node_409", "improvement_over_parent": null }, "node_411": { "node_id": "node_411", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n\nPerformance:\n Mass: 198.59 kg\n Factor of Safety: 1.01\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.5870035361068, "fos_buckling": 1.0142644666426481, "fos_yielding": 2.8629873955011234, "deflection": 0.0016416123782750968, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.151)" }, "parent_node_id": "node_410", "improvement_over_parent": null }, "node_412": { "node_id": "node_412", "content": "MODIFICATION: Increase 10 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 212.01 kg\n Factor of Safety: 1.15\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.0149017312184, "fos_buckling": 1.1491628639726406, "fos_yielding": 2.856789799513101, "deflection": 0.0015075835818788973, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.504)" }, "parent_node_id": "node_411", "improvement_over_parent": null }, "node_413": { "node_id": "node_413", "content": "MODIFICATION: Increase 4 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.29 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.28761555218276, "fos_buckling": 1.568011595563048, "fos_yielding": 4.152542230065076, "deflection": 0.001450309596223959, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.520)" }, "parent_node_id": "node_412", "improvement_over_parent": null }, "node_414": { "node_id": "node_414", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_413", "improvement_over_parent": null }, "node_415": { "node_id": "node_415", "content": "INITIAL DESIGN (Trace 59)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0019)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0032)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0024)]\n\nPerformance:\n Mass: 120.74 kg\n Factor of Safety: 0.70\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": 120.74106802681712, "fos_buckling": 0.696846833448539, "fos_yielding": 2.394025013128525, "deflection": 0.002785767313585606, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_416": { "node_id": "node_416", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n\nPerformance:\n Mass: 136.76 kg\n Factor of Safety: 0.78\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": 136.76437716283684, "fos_buckling": 0.7785944946313849, "fos_yielding": 2.709921486748058, "deflection": 0.0024609877894833264, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.140)" }, "parent_node_id": "node_415", "improvement_over_parent": null }, "node_417": { "node_id": "node_417", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 171.99 kg\n Factor of Safety: 0.95\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.9864897572828, "fos_buckling": 0.9497821201002602, "fos_yielding": 3.4027124922298326, "deflection": 0.0019597270188324877, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.276)" }, "parent_node_id": "node_416", "improvement_over_parent": null }, "node_418": { "node_id": "node_418", "content": "MODIFICATION: Increase 10 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 179.57 kg\n Factor of Safety: 1.25\n Max Deflection: 1.84e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.57013956559325, "fos_buckling": 1.249099102902543, "fos_yielding": 3.3982899805674003, "deflection": 0.0018387561665228866, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.299)" }, "parent_node_id": "node_417", "improvement_over_parent": null }, "node_419": { "node_id": "node_419", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 219.69 kg\n Factor of Safety: 1.47\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 219.6934189608973, "fos_buckling": 1.4700853130112148, "fos_yielding": 4.15348618288278, "deflection": 0.001506019734195805, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.245)" }, "parent_node_id": "node_418", "improvement_over_parent": null }, "node_420": { "node_id": "node_420", "content": "MODIFICATION: Increase 1 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.22 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.21660383961472, "fos_buckling": 1.568087706135593, "fos_yielding": 4.150376669747585, "deflection": 0.0014506988315037216, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.276)" }, "parent_node_id": "node_419", "improvement_over_parent": null }, "node_421": { "node_id": "node_421", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_420", "improvement_over_parent": null }, "node_422": { "node_id": "node_422", "content": "INITIAL DESIGN (Trace 60)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 161.15 kg\n Factor of Safety: 0.06\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": 161.15290938778148, "fos_buckling": 0.06046824295972681, "fos_yielding": 1.2873304142064959, "deflection": 0.010604401747687004, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_423": { "node_id": "node_423", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 167.31 kg\n Factor of Safety: 0.06\n Max Deflection: 6.97e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.3067241260793, "fos_buckling": 0.06038939402008911, "fos_yielding": 1.285651770456401, "deflection": 0.006974009476306182, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_422", "improvement_over_parent": null }, "node_424": { "node_id": "node_424", "content": "MODIFICATION: Increase 6 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 170.39 kg\n Factor of Safety: 0.06\n Max Deflection: 5.90e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.38936999250862, "fos_buckling": 0.06036967721313271, "fos_yielding": 1.475989371955031, "deflection": 0.005897374084817334, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.541)" }, "parent_node_id": "node_423", "improvement_over_parent": null }, "node_425": { "node_id": "node_425", "content": "MODIFICATION: Increase 7 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0043)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 174.76 kg\n Factor of Safety: 0.06\n Max Deflection: 5.90e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.75949354345636, "fos_buckling": 0.0603417476671121, "fos_yielding": 1.4753065173334234, "deflection": 0.005897278126003094, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.399)" }, "parent_node_id": "node_424", "improvement_over_parent": null }, "node_426": { "node_id": "node_426", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0043)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 218.37 kg\n Factor of Safety: 1.15\n Max Deflection: 1.48e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.37054778621706, "fos_buckling": 1.146522422684993, "fos_yielding": 3.2764014824503036, "deflection": 0.0014812274716983177, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_425", "improvement_over_parent": null }, "node_427": { "node_id": "node_427", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_426", "improvement_over_parent": null }, "node_428": { "node_id": "node_428", "content": "INITIAL DESIGN (Trace 61)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0016)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0007)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0029)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n\nPerformance:\n Mass: 91.18 kg\n Factor of Safety: 0.07\n Max Deflection: 9.26e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 91.18356846940263, "fos_buckling": 0.07268153859987578, "fos_yielding": 1.1235907950507165, "deflection": 0.009264095534822088, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_429": { "node_id": "node_429", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0016)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0007)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0029)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n\nPerformance:\n Mass: 113.34 kg\n Factor of Safety: 0.81\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": 113.34440622833085, "fos_buckling": 0.807124269832711, "fos_yielding": 2.1649236954618427, "deflection": 0.002910660719384111, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.002836)" }, "parent_node_id": "node_428", "improvement_over_parent": null }, "node_430": { "node_id": "node_430", "content": "MODIFICATION: Increase 1 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0007)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0029)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n\nPerformance:\n Mass: 115.58 kg\n Factor of Safety: 0.87\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": 115.57944751014628, "fos_buckling": 0.8739546711249326, "fos_yielding": 2.1630605425827514, "deflection": 0.0027748731142189583, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.339)" }, "parent_node_id": "node_429", "improvement_over_parent": null }, "node_431": { "node_id": "node_431", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 136.96 kg\n Factor of Safety: 1.01\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": 136.95752306126872, "fos_buckling": 1.0144044988756489, "fos_yielding": 2.5621144152070006, "deflection": 0.0023449639665938733, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.195)" }, "parent_node_id": "node_430", "improvement_over_parent": null }, "node_432": { "node_id": "node_432", "content": "MODIFICATION: Increase 2 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 137.48 kg\n Factor of Safety: 1.04\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": 137.47700825729825, "fos_buckling": 1.0377776825272, "fos_yielding": 2.5601517879826328, "deflection": 0.002342676057262891, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.328)" }, "parent_node_id": "node_431", "improvement_over_parent": null }, "node_433": { "node_id": "node_433", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n\nPerformance:\n Mass: 154.94 kg\n Factor of Safety: 1.15\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": 154.93968789491979, "fos_buckling": 1.1529297475201472, "fos_yielding": 2.8844485884129405, "deflection": 0.0020809389315432185, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.135)" }, "parent_node_id": "node_432", "improvement_over_parent": null }, "node_434": { "node_id": "node_434", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 183.15 kg\n Factor of Safety: 1.33\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": 183.14642409411329, "fos_buckling": 1.3310833361002927, "fos_yielding": 3.407844496165568, "deflection": 0.0017635886674844772, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.196)" }, "parent_node_id": "node_433", "improvement_over_parent": null }, "node_435": { "node_id": "node_435", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.34 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.3400698439846, "fos_buckling": 1.568287953650404, "fos_yielding": 4.1527557812992715, "deflection": 0.0014498707154215922, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.241)" }, "parent_node_id": "node_434", "improvement_over_parent": null }, "node_436": { "node_id": "node_436", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_435", "improvement_over_parent": null }, "node_437": { "node_id": "node_437", "content": "INITIAL DESIGN (Trace 62)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 0.93\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.94368369529988, "fos_buckling": 0.9323451860773345, "fos_yielding": 4.1142992092269095, "deflection": 0.0017652297082271673, "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 1 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 207.04 kg\n Factor of Safety: 0.93\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.04362466771917, "fos_buckling": 0.9296863099775527, "fos_yielding": 4.114075169229832, "deflection": 0.0016723920763497078, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.292)" }, "parent_node_id": "node_437", "improvement_over_parent": null }, "node_439": { "node_id": "node_439", "content": "MODIFICATION: Increase 4 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 209.01 kg\n Factor of Safety: 0.88\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.00511824816573, "fos_buckling": 0.8759669747699276, "fos_yielding": 4.1092632848551345, "deflection": 0.0016695400266043391, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.513)" }, "parent_node_id": "node_438", "improvement_over_parent": null }, "node_440": { "node_id": "node_440", "content": "MODIFICATION: Increase 0 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 215.07 kg\n Factor of Safety: 1.33\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.06576423182312, "fos_buckling": 1.3271569657126903, "fos_yielding": 4.137737308947953, "deflection": 0.0015554767564488526, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.560)" }, "parent_node_id": "node_439", "improvement_over_parent": null }, "node_441": { "node_id": "node_441", "content": "MODIFICATION: Increase 1 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 218.07 kg\n Factor of Safety: 1.32\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.07045513596165, "fos_buckling": 1.323012028884544, "fos_yielding": 4.137562922837563, "deflection": 0.001496852638398958, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.227)" }, "parent_node_id": "node_440", "improvement_over_parent": null }, "node_442": { "node_id": "node_442", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 223.24 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.24479801269032, "fos_buckling": 1.5680358166588373, "fos_yielding": 4.15130231590534, "deflection": 0.0014506427055491734, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_441", "improvement_over_parent": null }, "node_443": { "node_id": "node_443", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_442", "improvement_over_parent": null }, "node_444": { "node_id": "node_444", "content": "INITIAL DESIGN (Trace 63)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0029)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 190.03 kg\n Factor of Safety: 0.51\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.0333845833345, "fos_buckling": 0.5077765646464261, "fos_yielding": 4.049822494575287, "deflection": 0.001953315367494425, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_445": { "node_id": "node_445", "content": "MODIFICATION: Increase 0 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0029)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 194.77 kg\n Factor of Safety: 0.58\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.76590817461536, "fos_buckling": 0.5796644268543757, "fos_yielding": 4.067180837728441, "deflection": 0.0018814718803550326, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.393)" }, "parent_node_id": "node_444", "improvement_over_parent": null }, "node_446": { "node_id": "node_446", "content": "MODIFICATION: Increase 10 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0029)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 202.20 kg\n Factor of Safety: 0.56\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.20468909994003, "fos_buckling": 0.561711994892809, "fos_yielding": 4.063249209753563, "deflection": 0.0018010541112476381, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.232)" }, "parent_node_id": "node_445", "improvement_over_parent": null }, "node_447": { "node_id": "node_447", "content": "MODIFICATION: Increase 7 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 213.78 kg\n Factor of Safety: 1.05\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.7799528454234, "fos_buckling": 1.0526188562464727, "fos_yielding": 4.123270044219758, "deflection": 0.00156030627622719, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.550)" }, "parent_node_id": "node_446", "improvement_over_parent": null }, "node_448": { "node_id": "node_448", "content": "MODIFICATION: Increase 7 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.26104622339267, "fos_buckling": 1.567997113432411, "fos_yielding": 4.151357451011244, "deflection": 0.0014503861507895446, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.305)" }, "parent_node_id": "node_447", "improvement_over_parent": null }, "node_449": { "node_id": "node_449", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_448", "improvement_over_parent": null }, "node_450": { "node_id": "node_450", "content": "INITIAL DESIGN (Trace 64)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 176.73 kg\n Factor of Safety: 1.16\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.73199493039925, "fos_buckling": 1.1606505766049326, "fos_yielding": 3.3268005785628585, "deflection": 0.0017866585373189352, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_451": { "node_id": "node_451", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 216.12 kg\n Factor of Safety: 1.38\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.11746532418044, "fos_buckling": 1.3837444334031241, "fos_yielding": 4.074411757002129, "deflection": 0.0014652612548999536, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.244)" }, "parent_node_id": "node_450", "improvement_over_parent": null }, "node_452": { "node_id": "node_452", "content": "MODIFICATION: Increase 8 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 218.61 kg\n Factor of Safety: 1.38\n Max Deflection: 1.46e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.61084427404614, "fos_buckling": 1.3842882998762653, "fos_yielding": 4.076013162506581, "deflection": 0.0014620500685289528, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.447)" }, "parent_node_id": "node_451", "improvement_over_parent": null }, "node_453": { "node_id": "node_453", "content": "MODIFICATION: Increase 6 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.40 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.400126615599, "fos_buckling": 1.5688478170719433, "fos_yielding": 4.154196325557948, "deflection": 0.0014494761185376583, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.205)" }, "parent_node_id": "node_452", "improvement_over_parent": null }, "node_454": { "node_id": "node_454", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_453", "improvement_over_parent": null }, "node_455": { "node_id": "node_455", "content": "INITIAL DESIGN (Trace 65)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n\nPerformance:\n Mass: 144.95 kg\n Factor of Safety: 0.05\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": 144.95345791866256, "fos_buckling": 0.051929839757189414, "fos_yielding": 0.991456670199863, "deflection": 0.011951982017543623, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_456": { "node_id": "node_456", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 173.74 kg\n Factor of Safety: 0.06\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": 173.7371409827243, "fos_buckling": 0.06043825535388663, "fos_yielding": 1.1928216157706493, "deflection": 0.009973663381976831, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.218)" }, "parent_node_id": "node_455", "improvement_over_parent": null }, "node_457": { "node_id": "node_457", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 179.89 kg\n Factor of Safety: 0.13\n Max Deflection: 4.84e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.89095572102212, "fos_buckling": 0.12789526314543792, "fos_yielding": 2.1484080489237822, "deflection": 0.004837019029480782, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_456", "improvement_over_parent": null }, "node_458": { "node_id": "node_458", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 207.97 kg\n Factor of Safety: 1.03\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.9714761734754, "fos_buckling": 1.0347335082834022, "fos_yielding": 4.1637669153381776, "deflection": 0.0016375942377155857, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.003638)" }, "parent_node_id": "node_457", "improvement_over_parent": null }, "node_459": { "node_id": "node_459", "content": "MODIFICATION: Increase 2 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 208.69 kg\n Factor of Safety: 1.04\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.69182874813225, "fos_buckling": 1.0371225634897567, "fos_yielding": 4.161578536379168, "deflection": 0.001636803988315572, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.279)" }, "parent_node_id": "node_458", "improvement_over_parent": null }, "node_460": { "node_id": "node_460", "content": "MODIFICATION: Increase 10 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.29 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.28813740021695, "fos_buckling": 1.5687312788437613, "fos_yielding": 4.151380027827637, "deflection": 0.0014501875895120196, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.570)" }, "parent_node_id": "node_459", "improvement_over_parent": null }, "node_461": { "node_id": "node_461", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_460", "improvement_over_parent": null }, "node_462": { "node_id": "node_462", "content": "INITIAL DESIGN (Trace 66)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\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_463": { "node_id": "node_463", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 202.10 kg\n Factor of Safety: 1.46\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.09682924697734, "fos_buckling": 1.4589538202046552, "fos_yielding": 4.196455815373248, "deflection": 0.0015438938568217914, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_462", "improvement_over_parent": null }, "node_464": { "node_id": "node_464", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 210.71 kg\n Factor of Safety: 1.34\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.709933861738, "fos_buckling": 1.33906515750896, "fos_yielding": 4.138240460777092, "deflection": 0.0014958369339246017, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_463", "improvement_over_parent": null }, "node_465": { "node_id": "node_465", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25829148183425, "fos_buckling": 1.5680086641287918, "fos_yielding": 4.151343032925385, "deflection": 0.0014504401185121613, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_464", "improvement_over_parent": null }, "node_466": { "node_id": "node_466", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_465", "improvement_over_parent": null }, "node_467": { "node_id": "node_467", "content": "INITIAL DESIGN (Trace 67)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0029)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0023)]\n\nPerformance:\n Mass: 126.24 kg\n Factor of Safety: 0.76\n Max Deflection: 2.71e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.24416956989499, "fos_buckling": 0.7563162999016351, "fos_yielding": 2.659839893428277, "deflection": 0.0027057783091290048, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_468": { "node_id": "node_468", "content": "MODIFICATION: Increase 10 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0029)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 135.75 kg\n Factor of Safety: 0.78\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": 135.74728156329326, "fos_buckling": 0.7835078461029441, "fos_yielding": 2.654236093597952, "deflection": 0.00239240063107283, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.562)" }, "parent_node_id": "node_467", "improvement_over_parent": null }, "node_469": { "node_id": "node_469", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 170.73 kg\n Factor of Safety: 0.95\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.72865132276291, "fos_buckling": 0.9523729227245362, "fos_yielding": 3.333926134684248, "deflection": 0.0019059062474067248, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.276)" }, "parent_node_id": "node_468", "improvement_over_parent": null }, "node_470": { "node_id": "node_470", "content": "MODIFICATION: Increase 7 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 176.93 kg\n Factor of Safety: 1.30\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.93004053122294, "fos_buckling": 1.2975091621884596, "fos_yielding": 3.351369623482495, "deflection": 0.001801143177151005, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.230)" }, "parent_node_id": "node_469", "improvement_over_parent": null }, "node_471": { "node_id": "node_471", "content": "MODIFICATION: Increase 9 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 180.14 kg\n Factor of Safety: 1.31\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.14057183583762, "fos_buckling": 1.3122319735998236, "fos_yielding": 3.352915492319981, "deflection": 0.0017928267434569128, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.499)" }, "parent_node_id": "node_470", "improvement_over_parent": null }, "node_472": { "node_id": "node_472", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.45 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.45057321672508, "fos_buckling": 1.568552129114524, "fos_yielding": 4.155798051657109, "deflection": 0.0014492826972553423, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.264)" }, "parent_node_id": "node_471", "improvement_over_parent": null }, "node_473": { "node_id": "node_473", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_472", "improvement_over_parent": null }, "node_474": { "node_id": "node_474", "content": "INITIAL DESIGN (Trace 68)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 174.46 kg\n Factor of Safety: 0.80\n Max Deflection: 2.12e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.4625806043318, "fos_buckling": 0.7954451121789299, "fos_yielding": 4.19645566016795, "deflection": 0.002116774332945764, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_475": { "node_id": "node_475", "content": "MODIFICATION: Increase 3 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 176.34 kg\n Factor of Safety: 0.80\n Max Deflection: 2.12e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.34417573889473, "fos_buckling": 0.7952865217700035, "fos_yielding": 4.19645566016795, "deflection": 0.002117193574117331, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.626)" }, "parent_node_id": "node_474", "improvement_over_parent": null }, "node_476": { "node_id": "node_476", "content": "MODIFICATION: Increase 7 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 184.19 kg\n Factor of Safety: 1.06\n Max Deflection: 1.84e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.19487548073687, "fos_buckling": 1.0632801683348316, "fos_yielding": 4.19645566016795, "deflection": 0.001843482305470645, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.401)" }, "parent_node_id": "node_475", "improvement_over_parent": null }, "node_477": { "node_id": "node_477", "content": "MODIFICATION: Increase 0 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 187.06 kg\n Factor of Safety: 1.06\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.0636476012046, "fos_buckling": 1.0629573254049585, "fos_yielding": 4.19645566016795, "deflection": 0.0017921703060148697, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.209)" }, "parent_node_id": "node_476", "improvement_over_parent": null }, "node_478": { "node_id": "node_478", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 195.68 kg\n Factor of Safety: 0.70\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.67675221596525, "fos_buckling": 0.7031715966746842, "fos_yielding": 4.088924207697846, "deflection": 0.0016920855413712801, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_477", "improvement_over_parent": null }, "node_479": { "node_id": "node_479", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 208.23 kg\n Factor of Safety: 0.78\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.2251098360615, "fos_buckling": 0.7840643594403265, "fos_yielding": 4.099536592653883, "deflection": 0.0016545582119182841, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_478", "improvement_over_parent": null }, "node_480": { "node_id": "node_480", "content": "MODIFICATION: Increase 7 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.33 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.33316031853713, "fos_buckling": 1.5680597557046891, "fos_yielding": 4.151519478637086, "deflection": 0.001449746897231225, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.580)" }, "parent_node_id": "node_479", "improvement_over_parent": null }, "node_481": { "node_id": "node_481", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 69)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 127.44 kg\n Factor of Safety: 0.05\n Max Deflection: 8.83e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.44470363259802, "fos_buckling": 0.04559927944323379, "fos_yielding": 1.0604890766498793, "deflection": 0.008834219693877128, "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 all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 146.27 kg\n Factor of Safety: 0.05\n Max Deflection: 7.70e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.27179716938224, "fos_buckling": 0.05131564236997639, "fos_yielding": 1.215462948695465, "deflection": 0.007702540026428243, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.159)" }, "parent_node_id": "node_482", "improvement_over_parent": null }, "node_484": { "node_id": "node_484", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n\nPerformance:\n Mass: 182.08 kg\n Factor of Safety: 1.26\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.07631065156488, "fos_buckling": 1.2602940466737043, "fos_yielding": 3.4158694566080574, "deflection": 0.0017694642358706382, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004657)" }, "parent_node_id": "node_483", "improvement_over_parent": null }, "node_485": { "node_id": "node_485", "content": "MODIFICATION: Increase 5 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n\nPerformance:\n Mass: 183.35 kg\n Factor of Safety: 1.33\n Max Deflection: 1.76e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.35310971553173, "fos_buckling": 1.3325918959701843, "fos_yielding": 3.4120012975987923, "deflection": 0.0017617242097061746, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.364)" }, "parent_node_id": "node_484", "improvement_over_parent": null }, "node_486": { "node_id": "node_486", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25936221467907, "fos_buckling": 1.5680928211491372, "fos_yielding": 4.151647094765767, "deflection": 0.00145046842406238, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.239)" }, "parent_node_id": "node_485", "improvement_over_parent": null }, "node_487": { "node_id": "node_487", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_486", "improvement_over_parent": null }, "node_488": { "node_id": "node_488", "content": "INITIAL DESIGN (Trace 70)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 150.78 kg\n Factor of Safety: 0.98\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.77911874544657, "fos_buckling": 0.979309038413504, "fos_yielding": 2.3916237423879263, "deflection": 0.0021110051090380355, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_489": { "node_id": "node_489", "content": "MODIFICATION: Increase 3 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 155.70 kg\n Factor of Safety: 1.02\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.7037173542698, "fos_buckling": 1.0204899051218408, "fos_yielding": 2.9571358209565357, "deflection": 0.0020871539317090103, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.261)" }, "parent_node_id": "node_488", "improvement_over_parent": null }, "node_490": { "node_id": "node_490", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 174.11 kg\n Factor of Safety: 1.12\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.10869789451385, "fos_buckling": 1.1159609731172804, "fos_yielding": 3.305526870210914, "deflection": 0.0018689078504502913, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.127)" }, "parent_node_id": "node_489", "improvement_over_parent": null }, "node_491": { "node_id": "node_491", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n\nPerformance:\n Mass: 178.24 kg\n Factor of Safety: 1.30\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.24136259478908, "fos_buckling": 1.300998377679145, "fos_yielding": 3.3163884588991763, "deflection": 0.0018115926163938083, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001861)" }, "parent_node_id": "node_490", "improvement_over_parent": null }, "node_492": { "node_id": "node_492", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 223.21 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.2136183863861, "fos_buckling": 1.5677966741854596, "fos_yielding": 4.149831204415389, "deflection": 0.0014507059450983948, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.277)" }, "parent_node_id": "node_491", "improvement_over_parent": null }, "node_493": { "node_id": "node_493", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_492", "improvement_over_parent": null }, "node_494": { "node_id": "node_494", "content": "INITIAL DESIGN (Trace 71)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0009)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0028)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n\nPerformance:\n Mass: 87.31 kg\n Factor of Safety: 0.06\n Max Deflection: 9.91e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 87.30586562412496, "fos_buckling": 0.05849506543321201, "fos_yielding": 0.8882127645765888, "deflection": 0.00990754306560162, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_495": { "node_id": "node_495", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0009)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0028)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n\nPerformance:\n Mass: 91.70 kg\n Factor of Safety: 0.06\n Max Deflection: 9.88e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 91.70227725008331, "fos_buckling": 0.05846765443950135, "fos_yielding": 0.887796544946382, "deflection": 0.009883276640524564, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001251)" }, "parent_node_id": "node_494", "improvement_over_parent": null }, "node_496": { "node_id": "node_496", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0035)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n\nPerformance:\n Mass: 105.40 kg\n Factor of Safety: 0.07\n Max Deflection: 8.60e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 105.39700156522571, "fos_buckling": 0.06654639273946117, "fos_yielding": 1.0207791119549308, "deflection": 0.008602985750272915, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.157)" }, "parent_node_id": "node_495", "improvement_over_parent": null }, "node_497": { "node_id": "node_497", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0045)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n\nPerformance:\n Mass: 134.41 kg\n Factor of Safety: 0.08\n Max Deflection: 6.75e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.41410125619785, "fos_buckling": 0.08310290765624812, "fos_yielding": 1.3030568755152792, "deflection": 0.006752068238640271, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.294)" }, "parent_node_id": "node_496", "improvement_over_parent": null }, "node_498": { "node_id": "node_498", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n\nPerformance:\n Mass: 161.78 kg\n Factor of Safety: 0.10\n Max Deflection: 5.61e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.78036537394922, "fos_buckling": 0.09801799454413222, "fos_yielding": 1.5700364253697028, "deflection": 0.005614627494159056, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.221)" }, "parent_node_id": "node_497", "improvement_over_parent": null }, "node_499": { "node_id": "node_499", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 200.20 kg\n Factor of Safety: 1.43\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.19575149935724, "fos_buckling": 1.4342417516517942, "fos_yielding": 3.739814712224165, "deflection": 0.001610591559422873, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005091)" }, "parent_node_id": "node_498", "improvement_over_parent": null }, "node_500": { "node_id": "node_500", "content": "MODIFICATION: Increase 3 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 201.08 kg\n Factor of Safety: 1.44\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.08259563129417, "fos_buckling": 1.4396054338198296, "fos_yielding": 3.7404223206575744, "deflection": 0.0016081473150104317, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.255)" }, "parent_node_id": "node_499", "improvement_over_parent": null }, "node_501": { "node_id": "node_501", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.22 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.223597313683, "fos_buckling": 1.5679017259563568, "fos_yielding": 4.150635644101487, "deflection": 0.001450660496920396, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.121)" }, "parent_node_id": "node_500", "improvement_over_parent": null }, "node_502": { "node_id": "node_502", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_501", "improvement_over_parent": null }, "node_503": { "node_id": "node_503", "content": "INITIAL DESIGN (Trace 72)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0045)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n\nPerformance:\n Mass: 155.86 kg\n Factor of Safety: 1.00\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.86215399225642, "fos_buckling": 1.0049842008925884, "fos_yielding": 3.107954361111834, "deflection": 0.0020970623199491126, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_504": { "node_id": "node_504", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 180.17 kg\n Factor of Safety: 1.16\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.17218086543667, "fos_buckling": 1.1556182510152102, "fos_yielding": 3.5890894901251347, "deflection": 0.0018162240896777884, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.168)" }, "parent_node_id": "node_503", "improvement_over_parent": null }, "node_505": { "node_id": "node_505", "content": "MODIFICATION: Increase 5 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 181.97 kg\n Factor of Safety: 1.39\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.96563232757092, "fos_buckling": 1.3873283510133345, "fos_yielding": 3.583355775684603, "deflection": 0.0018056958185475771, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.553)" }, "parent_node_id": "node_504", "improvement_over_parent": null }, "node_506": { "node_id": "node_506", "content": "MODIFICATION: Increase 9 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 185.97 kg\n Factor of Safety: 1.16\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.97320737061486, "fos_buckling": 1.163880431996893, "fos_yielding": 3.5857676039238235, "deflection": 0.0017902464011008625, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.637)" }, "parent_node_id": "node_505", "improvement_over_parent": null }, "node_507": { "node_id": "node_507", "content": "MODIFICATION: Increase 1 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 190.47 kg\n Factor of Safety: 1.39\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.47192105846523, "fos_buckling": 1.3879956047404474, "fos_yielding": 3.5818978713475795, "deflection": 0.0016836980454887171, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.458)" }, "parent_node_id": "node_506", "improvement_over_parent": null }, "node_508": { "node_id": "node_508", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 221.02 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 221.01538065468753, "fos_buckling": 1.568231920126573, "fos_yielding": 4.153619065512287, "deflection": 0.0014539653186917247, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.176)" }, "parent_node_id": "node_507", "improvement_over_parent": null }, "node_509": { "node_id": "node_509", "content": "MODIFICATION: Increase 8 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.06 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.0591451304699, "fos_buckling": 1.566896072293855, "fos_yielding": 4.147856005118499, "deflection": 0.001451644760872985, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.342)" }, "parent_node_id": "node_508", "improvement_over_parent": null }, "node_510": { "node_id": "node_510", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_509", "improvement_over_parent": null }, "node_511": { "node_id": "node_511", "content": "INITIAL DESIGN (Trace 73)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0007)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0009)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0022)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n\nPerformance:\n Mass: 113.51 kg\n Factor of Safety: 0.45\n Max Deflection: 2.92e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.51130858286362, "fos_buckling": 0.4503722851775843, "fos_yielding": 2.2358422210794675, "deflection": 0.0029196027096928885, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_512": { "node_id": "node_512", "content": "MODIFICATION: Increase 7 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0007)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0009)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n\nPerformance:\n Mass: 119.37 kg\n Factor of Safety: 0.81\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": 119.37132785664105, "fos_buckling": 0.8141426166541306, "fos_yielding": 2.2518572753364094, "deflection": 0.0026745337995035907, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.346)" }, "parent_node_id": "node_511", "improvement_over_parent": null }, "node_513": { "node_id": "node_513", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n\nPerformance:\n Mass: 152.77 kg\n Factor of Safety: 1.01\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": 152.7672669596436, "fos_buckling": 1.0122659610525697, "fos_yielding": 2.879809881757119, "deflection": 0.0020944740750256344, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.297)" }, "parent_node_id": "node_512", "improvement_over_parent": null }, "node_514": { "node_id": "node_514", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 170.88 kg\n Factor of Safety: 1.11\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.88277684917745, "fos_buckling": 1.1146877653733382, "fos_yielding": 3.2200582035620484, "deflection": 0.0018746750104625758, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.127)" }, "parent_node_id": "node_513", "improvement_over_parent": null }, "node_515": { "node_id": "node_515", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 220.59 kg\n Factor of Safety: 1.38\n Max Deflection: 1.46e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 220.59291487193838, "fos_buckling": 1.378199866817164, "fos_yielding": 4.15231432749155, "deflection": 0.0014569891044931488, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_514", "improvement_over_parent": null }, "node_516": { "node_id": "node_516", "content": "MODIFICATION: Increase 3 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 221.94 kg\n Factor of Safety: 1.41\n Max Deflection: 1.45e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.93515532672313, "fos_buckling": 1.4107163914605405, "fos_yielding": 4.153205452690921, "deflection": 0.0014536706834126886, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.385)" }, "parent_node_id": "node_515", "improvement_over_parent": null }, "node_517": { "node_id": "node_517", "content": "MODIFICATION: Increase 2 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.08 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.08355348783073, "fos_buckling": 1.567044587258648, "fos_yielding": 4.148232668242748, "deflection": 0.001451555630980777, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.524)" }, "parent_node_id": "node_516", "improvement_over_parent": null }, "node_518": { "node_id": "node_518", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 74)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, 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_520": { "node_id": "node_520", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n\nPerformance:\n Mass: 114.86 kg\n Factor of Safety: 0.35\n Max Deflection: 5.72e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.85739246637607, "fos_buckling": 0.3493363471216733, "fos_yielding": 3.187579060748972, "deflection": 5716176203309.077, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001751)" }, "parent_node_id": "node_519", "improvement_over_parent": null }, "node_521": { "node_id": "node_521", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n\nPerformance:\n Mass: 145.49 kg\n Factor of Safety: 1.08\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": 145.4855871090047, "fos_buckling": 1.0840730311624287, "fos_yielding": 2.9486026176952556, "deflection": 0.0021860126120802005, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003940)" }, "parent_node_id": "node_520", "improvement_over_parent": null }, "node_522": { "node_id": "node_522", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n\nPerformance:\n Mass: 154.30 kg\n Factor of Safety: 1.13\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": 154.29695832807428, "fos_buckling": 1.1323350172485356, "fos_yielding": 2.948602617695256, "deflection": 0.002084709476807758, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002113)" }, "parent_node_id": "node_521", "improvement_over_parent": null }, "node_523": { "node_id": "node_523", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n\nPerformance:\n Mass: 156.79 kg\n Factor of Safety: 1.17\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": 156.79312309275082, "fos_buckling": 1.165071679299056, "fos_yielding": 2.9189018689877555, "deflection": 0.002056626927328241, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001344)" }, "parent_node_id": "node_522", "improvement_over_parent": null }, "node_524": { "node_id": "node_524", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n\nPerformance:\n Mass: 202.12 kg\n Factor of Safety: 1.45\n Max Deflection: 1.60e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.1243049522553, "fos_buckling": 1.4456734297394096, "fos_yielding": 3.759753460979852, "deflection": 0.0015999503185966854, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.314)" }, "parent_node_id": "node_523", "improvement_over_parent": null }, "node_525": { "node_id": "node_525", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.27 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.2749216191158, "fos_buckling": 1.5680846053400075, "fos_yielding": 4.151612382385592, "deflection": 0.0014503192464532305, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.115)" }, "parent_node_id": "node_524", "improvement_over_parent": null }, "node_526": { "node_id": "node_526", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_525", "improvement_over_parent": null }, "node_527": { "node_id": "node_527", "content": "INITIAL DESIGN (Trace 75)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 160.06 kg\n Factor of Safety: 1.18\n Max Deflection: 1.99e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.05512356803874, "fos_buckling": 1.1770066034353175, "fos_yielding": 3.243329107268087, "deflection": 0.0019908997763267767, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_528": { "node_id": "node_528", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 179.72 kg\n Factor of Safety: 1.30\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.7211479531791, "fos_buckling": 1.2979609204521263, "fos_yielding": 3.640879110437016, "deflection": 0.0017776995628300974, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.133)" }, "parent_node_id": "node_527", "improvement_over_parent": null }, "node_529": { "node_id": "node_529", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 207.20 kg\n Factor of Safety: 1.46\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.20413623332232, "fos_buckling": 1.4584522437640763, "fos_yielding": 4.196098988283778, "deflection": 0.00154755210876834, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.168)" }, "parent_node_id": "node_528", "improvement_over_parent": null }, "node_530": { "node_id": "node_530", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 219.75 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 219.75249385341857, "fos_buckling": 1.5227159620848187, "fos_yielding": 4.196098988283778, "deflection": 0.0014702874163723214, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_529", "improvement_over_parent": null }, "node_531": { "node_id": "node_531", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.31 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.3069011891166, "fos_buckling": 1.568298566348299, "fos_yielding": 4.15232579156827, "deflection": 0.0014501069094226026, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_530", "improvement_over_parent": null }, "node_532": { "node_id": "node_532", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 76)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0019)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0024)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0025)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0024)]\n\nPerformance:\n Mass: 96.33 kg\n Factor of Safety: 0.76\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": 96.3282059925674, "fos_buckling": 0.7583966865784517, "fos_yielding": 1.8858214736939025, "deflection": 0.003249568530220489, "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 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0031)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n\nPerformance:\n Mass: 120.03 kg\n Factor of Safety: 0.93\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": 120.02862272901714, "fos_buckling": 0.9261849897995659, "fos_yielding": 2.349168682869085, "deflection": 0.0026121567488458478, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.258)" }, "parent_node_id": "node_533", "improvement_over_parent": null }, "node_535": { "node_id": "node_535", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 149.84 kg\n Factor of Safety: 1.13\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": 149.84134618535677, "fos_buckling": 1.126820103921104, "fos_yielding": 2.9316559751983933, "deflection": 0.002096705541271367, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.264)" }, "parent_node_id": "node_534", "improvement_over_parent": null }, "node_536": { "node_id": "node_536", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 177.52 kg\n Factor of Safety: 1.30\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.51797866965404, "fos_buckling": 1.3027465687292648, "fos_yielding": 3.4720525920215253, "deflection": 0.0017731553690317832, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.199)" }, "parent_node_id": "node_535", "improvement_over_parent": null }, "node_537": { "node_id": "node_537", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 184.63 kg\n Factor of Safety: 1.34\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.63204754968373, "fos_buckling": 1.3404254237071285, "fos_yielding": 3.4356599706989472, "deflection": 0.0017495507073981393, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002083)" }, "parent_node_id": "node_536", "improvement_over_parent": null }, "node_538": { "node_id": "node_538", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.63 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.6306477982473, "fos_buckling": 1.5701801584357469, "fos_yielding": 4.158450431372139, "deflection": 0.0014480043002858018, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.232)" }, "parent_node_id": "node_537", "improvement_over_parent": null }, "node_539": { "node_id": "node_539", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_538", "improvement_over_parent": null }, "node_540": { "node_id": "node_540", "content": "INITIAL DESIGN (Trace 77)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n\nPerformance:\n Mass: 165.21 kg\n Factor of Safety: 0.94\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.21111196635502, "fos_buckling": 0.9394910940325676, "fos_yielding": 3.2572606632809427, "deflection": 0.002032469085015779, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_541": { "node_id": "node_541", "content": "MODIFICATION: Increase 10 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 174.69 kg\n Factor of Safety: 1.28\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.68611535400953, "fos_buckling": 1.2786752499049698, "fos_yielding": 3.2511153989379062, "deflection": 0.0018481039569466454, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.425)" }, "parent_node_id": "node_540", "improvement_over_parent": null }, "node_542": { "node_id": "node_542", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 196.60 kg\n Factor of Safety: 1.41\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.60281974529158, "fos_buckling": 1.4126840785718286, "fos_yielding": 3.6575772344752133, "deflection": 0.0016443542365703028, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.136)" }, "parent_node_id": "node_541", "improvement_over_parent": null }, "node_543": { "node_id": "node_543", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.09 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.087850656559, "fos_buckling": 1.5668739569968773, "fos_yielding": 4.1483371241526275, "deflection": 0.0014515552484278666, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.148)" }, "parent_node_id": "node_542", "improvement_over_parent": null }, "node_544": { "node_id": "node_544", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_543", "improvement_over_parent": null }, "node_545": { "node_id": "node_545", "content": "INITIAL DESIGN (Trace 78)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n\nPerformance:\n Mass: 95.81 kg\n Factor of Safety: 0.63\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": 95.81405080944431, "fos_buckling": 0.6317933051004871, "fos_yielding": 1.4883147841473037, "deflection": 0.003053708252552966, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_546": { "node_id": "node_546", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 125.40 kg\n Factor of Safety: 0.81\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": 125.40477306466337, "fos_buckling": 0.8148239780822577, "fos_yielding": 1.954539982153495, "deflection": 0.002343495054745924, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.326)" }, "parent_node_id": "node_545", "improvement_over_parent": null }, "node_547": { "node_id": "node_547", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 150.62 kg\n Factor of Safety: 0.97\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.61930265020027, "fos_buckling": 0.9662248042546536, "fos_yielding": 2.354636615913469, "deflection": 0.001958567103341808, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.215)" }, "parent_node_id": "node_546", "improvement_over_parent": null }, "node_548": { "node_id": "node_548", "content": "MODIFICATION: Increase 4 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 158.44 kg\n Factor of Safety: 1.19\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.4437220868516, "fos_buckling": 1.1922963268898945, "fos_yielding": 3.2910942397468093, "deflection": 0.001958567103341808, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.427)" }, "parent_node_id": "node_547", "improvement_over_parent": null }, "node_549": { "node_id": "node_549", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 201.75 kg\n Factor of Safety: 1.46\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.75291479153984, "fos_buckling": 1.4569999548669434, "fos_yielding": 4.188504191209894, "deflection": 0.0015464026933153224, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.300)" }, "parent_node_id": "node_548", "improvement_over_parent": null }, "node_550": { "node_id": "node_550", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 214.30 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 214.3012724116361, "fos_buckling": 1.5211985469911034, "fos_yielding": 4.188504191209894, "deflection": 0.0014725373385633305, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_549", "improvement_over_parent": null }, "node_551": { "node_id": "node_551", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 221.53 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 221.52921333034178, "fos_buckling": 1.5669925339109478, "fos_yielding": 4.147216986067308, "deflection": 0.001454285464437019, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002119)" }, "parent_node_id": "node_550", "improvement_over_parent": null }, "node_552": { "node_id": "node_552", "content": "MODIFICATION: Increase 8 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0069)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 229.53 kg\n Factor of Safety: 1.57\n Max Deflection: 1.39e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 229.52632147110901, "fos_buckling": 1.5722489075278774, "fos_yielding": 4.144092036819649, "deflection": 0.0013934572751049031, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.211)" }, "parent_node_id": "node_551", "improvement_over_parent": null }, "node_553": { "node_id": "node_553", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_552", "improvement_over_parent": null }, "node_554": { "node_id": "node_554", "content": "INITIAL DESIGN (Trace 79)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 185.25 kg\n Factor of Safety: 1.11\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.24771892472526, "fos_buckling": 1.1081472369142624, "fos_yielding": 2.743404372380938, "deflection": 0.001680252669018984, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_555": { "node_id": "node_555", "content": "MODIFICATION: Increase 9 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 187.86 kg\n Factor of Safety: 1.11\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.8587864784284, "fos_buckling": 1.1085395334022892, "fos_yielding": 2.7443755681432616, "deflection": 0.0016743588396812904, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.337)" }, "parent_node_id": "node_554", "improvement_over_parent": null }, "node_556": { "node_id": "node_556", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0045)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 214.45 kg\n Factor of Safety: 1.25\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.45243846811826, "fos_buckling": 1.2481701838633283, "fos_yielding": 3.140629192615959, "deflection": 0.0014696088776928332, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.155)" }, "parent_node_id": "node_555", "improvement_over_parent": null }, "node_557": { "node_id": "node_557", "content": "MODIFICATION: Increase 4 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.25 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.2528273548687, "fos_buckling": 1.567911364545595, "fos_yielding": 4.152047898436194, "deflection": 0.001450534370037622, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.368)" }, "parent_node_id": "node_556", "improvement_over_parent": null }, "node_558": { "node_id": "node_558", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_557", "improvement_over_parent": null }, "node_559": { "node_id": "node_559", "content": "INITIAL DESIGN (Trace 80)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 153.49 kg\n Factor of Safety: 1.18\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": 153.48730921206914, "fos_buckling": 1.1827769885144064, "fos_yielding": 3.2342182837513973, "deflection": 0.002195592845271919, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_560": { "node_id": "node_560", "content": "MODIFICATION: Increase 7 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 155.44 kg\n Factor of Safety: 1.18\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": 155.44014544926875, "fos_buckling": 1.1830237099143008, "fos_yielding": 3.2342182837513973, "deflection": 0.0021955411715058053, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.271)" }, "parent_node_id": "node_559", "improvement_over_parent": null }, "node_561": { "node_id": "node_561", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 171.58 kg\n Factor of Safety: 1.29\n Max Deflection: 1.99e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.58142157068636, "fos_buckling": 1.2870166158199128, "fos_yielding": 3.5687691289283894, "deflection": 0.001989188125476688, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.112)" }, "parent_node_id": "node_560", "improvement_over_parent": null }, "node_562": { "node_id": "node_562", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 178.91 kg\n Factor of Safety: 1.30\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.90717177833773, "fos_buckling": 1.298443946033227, "fos_yielding": 3.597022702017335, "deflection": 0.0019827833654387493, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002150)" }, "parent_node_id": "node_561", "improvement_over_parent": null }, "node_563": { "node_id": "node_563", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 210.41 kg\n Factor of Safety: 1.48\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.41083846872968, "fos_buckling": 1.4846508297648424, "fos_yielding": 4.225932608435087, "deflection": 0.0016863467083268386, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.193)" }, "parent_node_id": "node_562", "improvement_over_parent": null }, "node_564": { "node_id": "node_564", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 216.56 kg\n Factor of Safety: 1.19\n Max Deflection: 1.58e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.5646532070275, "fos_buckling": 1.191396575474264, "fos_yielding": 4.156433004985773, "deflection": 0.0015808809309741955, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_563", "improvement_over_parent": null }, "node_565": { "node_id": "node_565", "content": "MODIFICATION: Increase 1 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.16 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.1635410669918, "fos_buckling": 1.5673583148778305, "fos_yielding": 4.149222127464831, "deflection": 0.001451066834911592, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.661)" }, "parent_node_id": "node_564", "improvement_over_parent": null }, "node_566": { "node_id": "node_566", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_565", "improvement_over_parent": null }, "node_567": { "node_id": "node_567", "content": "INITIAL DESIGN (Trace 81)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 159.83 kg\n Factor of Safety: 0.71\n Max Deflection: 2.12e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.83465210769216, "fos_buckling": 0.7060984488653806, "fos_yielding": 3.503628171511557, "deflection": 0.0021227801077021886, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_568": { "node_id": "node_568", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n\nPerformance:\n Mass: 170.55 kg\n Factor of Safety: 0.88\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": 170.54896877911673, "fos_buckling": 0.879721729147746, "fos_yielding": 3.518889716238661, "deflection": 0.002029661174179594, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002606)" }, "parent_node_id": "node_567", "improvement_over_parent": null }, "node_569": { "node_id": "node_569", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 200.01 kg\n Factor of Safety: 1.00\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.01246878777047, "fos_buckling": 1.002135836347244, "fos_yielding": 4.119264390904214, "deflection": 0.0017316207146674638, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.188)" }, "parent_node_id": "node_568", "improvement_over_parent": null }, "node_570": { "node_id": "node_570", "content": "MODIFICATION: Increase 10 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0043)]\n\nPerformance:\n Mass: 204.26 kg\n Factor of Safety: 1.03\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.25628450969862, "fos_buckling": 1.0260254894638186, "fos_yielding": 4.120966259371702, "deflection": 0.001723759253501551, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.387)" }, "parent_node_id": "node_569", "improvement_over_parent": null }, "node_571": { "node_id": "node_571", "content": "MODIFICATION: Increase 7 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0043)]\n\nPerformance:\n Mass: 216.32 kg\n Factor of Safety: 1.08\n Max Deflection: 1.57e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.31871552797878, "fos_buckling": 1.0766020396647538, "fos_yielding": 4.1597502830592985, "deflection": 0.0015711955983576562, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.420)" }, "parent_node_id": "node_570", "improvement_over_parent": null }, "node_572": { "node_id": "node_572", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_571", "improvement_over_parent": null }, "node_573": { "node_id": "node_573", "content": "INITIAL DESIGN (Trace 82)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0023)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 124.21 kg\n Factor of Safety: 0.08\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": 124.20872573881023, "fos_buckling": 0.07935253536869441, "fos_yielding": 1.1025534460480146, "deflection": 17019148757219.44, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_574": { "node_id": "node_574", "content": "MODIFICATION: Increase 6 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 127.90 kg\n Factor of Safety: 0.08\n Max Deflection: 1.70e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.89725608636769, "fos_buckling": 0.07935253536869441, "fos_yielding": 1.1025534460480146, "deflection": 17019148757219.44, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.299)" }, "parent_node_id": "node_573", "improvement_over_parent": null }, "node_575": { "node_id": "node_575", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 163.83 kg\n Factor of Safety: 0.96\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.82697158992084, "fos_buckling": 0.964653840054514, "fos_yielding": 2.699578403310028, "deflection": 0.0018574190982384624, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004735)" }, "parent_node_id": "node_574", "improvement_over_parent": null }, "node_576": { "node_id": "node_576", "content": "MODIFICATION: Increase 1 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 166.80 kg\n Factor of Safety: 0.96\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.7954628461252, "fos_buckling": 0.964653840054514, "fos_yielding": 2.699578403310028, "deflection": 0.0017730962066385169, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.271)" }, "parent_node_id": "node_575", "improvement_over_parent": null }, "node_577": { "node_id": "node_577", "content": "MODIFICATION: Increase 5 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 168.48 kg\n Factor of Safety: 0.96\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.48168298129468, "fos_buckling": 0.964653840054514, "fos_yielding": 2.699578403310028, "deflection": 0.0017713988490148879, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.520)" }, "parent_node_id": "node_576", "improvement_over_parent": null }, "node_578": { "node_id": "node_578", "content": "MODIFICATION: Increase 6 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 177.53 kg\n Factor of Safety: 1.17\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.52520984810906, "fos_buckling": 1.1749026388213082, "fos_yielding": 3.488406829724728, "deflection": 0.0017713988490148879, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.587)" }, "parent_node_id": "node_577", "improvement_over_parent": null }, "node_579": { "node_id": "node_579", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n\nPerformance:\n Mass: 188.09 kg\n Factor of Safety: 1.36\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.09490690723348, "fos_buckling": 1.361455120508103, "fos_yielding": 3.499444465170617, "deflection": 0.0017177758569040487, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002568)" }, "parent_node_id": "node_578", "improvement_over_parent": null }, "node_580": { "node_id": "node_580", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.20 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.2033634793884, "fos_buckling": 1.567639802137984, "fos_yielding": 4.150028257269936, "deflection": 0.0014507860116373171, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.205)" }, "parent_node_id": "node_579", "improvement_over_parent": null }, "node_581": { "node_id": "node_581", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_580", "improvement_over_parent": null }, "node_582": { "node_id": "node_582", "content": "INITIAL DESIGN (Trace 83)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, 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_583": { "node_id": "node_583", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n\nPerformance:\n Mass: 163.58 kg\n Factor of Safety: 1.20\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.58437175896825, "fos_buckling": 1.1997111548356614, "fos_yielding": 3.316664476482712, "deflection": 0.002017087824159071, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.001455)" }, "parent_node_id": "node_582", "improvement_over_parent": null }, "node_584": { "node_id": "node_584", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n\nPerformance:\n Mass: 207.21 kg\n Factor of Safety: 1.46\n Max Deflection: 1.60e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.21408375502182, "fos_buckling": 1.4585325209170428, "fos_yielding": 4.196383196150036, "deflection": 0.0016016397639174343, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.292)" }, "parent_node_id": "node_583", "improvement_over_parent": null }, "node_585": { "node_id": "node_585", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 210.77 kg\n Factor of Safety: 1.33\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.76849109071983, "fos_buckling": 1.3340936220391912, "fos_yielding": 4.139293275509511, "deflection": 0.0015475513574507692, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_584", "improvement_over_parent": null }, "node_586": { "node_id": "node_586", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 215.94 kg\n Factor of Safety: 1.56\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 215.9428339674485, "fos_buckling": 1.5624143141293507, "fos_yielding": 4.152200489183049, "deflection": 0.001500713988391715, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_585", "improvement_over_parent": null }, "node_587": { "node_id": "node_587", "content": "MODIFICATION: Increase 1 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 218.67 kg\n Factor of Safety: 1.55\n Max Deflection: 1.46e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 218.67012886141526, "fos_buckling": 1.5468258295377626, "fos_yielding": 4.1502781074085435, "deflection": 0.0014581140841872333, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.202)" }, "parent_node_id": "node_586", "improvement_over_parent": null }, "node_588": { "node_id": "node_588", "content": "MODIFICATION: Increase 9 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0032)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 220.63 kg\n Factor of Safety: 1.55\n Max Deflection: 1.46e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 220.62556594602637, "fos_buckling": 1.5455678291962358, "fos_yielding": 4.145268834622383, "deflection": 0.001456103911695172, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.647)" }, "parent_node_id": "node_587", "improvement_over_parent": null }, "node_589": { "node_id": "node_589", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 84)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0020)]\n\nPerformance:\n Mass: 135.86 kg\n Factor of Safety: 0.60\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": 135.8566114910671, "fos_buckling": 0.6031536577545333, "fos_yielding": 2.988571066854774, "deflection": 0.0027650440516647523, "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 8 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0026)]\n\nPerformance:\n Mass: 140.34 kg\n Factor of Safety: 0.76\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": 140.34103505245895, "fos_buckling": 0.7629790564772814, "fos_yielding": 2.9885710668547754, "deflection": 0.0024726539612947717, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.299)" }, "parent_node_id": "node_590", "improvement_over_parent": null }, "node_592": { "node_id": "node_592", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0026)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n\nPerformance:\n Mass: 142.87 kg\n Factor of Safety: 0.79\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": 142.87207187588805, "fos_buckling": 0.7894610739358058, "fos_yielding": 3.0183640032113854, "deflection": 0.0024608323811446337, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001364)" }, "parent_node_id": "node_591", "improvement_over_parent": null }, "node_593": { "node_id": "node_593", "content": "MODIFICATION: Increase 9 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0026)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0021)]\n\nPerformance:\n Mass: 144.12 kg\n Factor of Safety: 0.79\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": 144.12314989460722, "fos_buckling": 0.7908418201539291, "fos_yielding": 3.0197693628259428, "deflection": 0.002460489878831977, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.546)" }, "parent_node_id": "node_592", "improvement_over_parent": null }, "node_594": { "node_id": "node_594", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0026)]\n\nPerformance:\n Mass: 177.91 kg\n Factor of Safety: 0.96\n Max Deflection: 1.99e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.90519524543706, "fos_buckling": 0.9610510651636653, "fos_yielding": 3.7216403614339457, "deflection": 0.0019929988719931506, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.253)" }, "parent_node_id": "node_593", "improvement_over_parent": null }, "node_595": { "node_id": "node_595", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 183.31 kg\n Factor of Safety: 0.71\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.3056887220319, "fos_buckling": 0.709040931192718, "fos_yielding": 3.6502947435151434, "deflection": 0.0018672632749858588, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002225)" }, "parent_node_id": "node_594", "improvement_over_parent": null }, "node_596": { "node_id": "node_596", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 208.93 kg\n Factor of Safety: 0.80\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.93482363330017, "fos_buckling": 0.800017483266553, "fos_yielding": 4.156478206899399, "deflection": 0.0016390806898653007, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.153)" }, "parent_node_id": "node_595", "improvement_over_parent": null }, "node_597": { "node_id": "node_597", "content": "MODIFICATION: Increase 3 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0101)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 228.22 kg\n Factor of Safety: 0.85\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 228.21560155529187, "fos_buckling": 0.8489960655953206, "fos_yielding": 4.743622996347265, "deflection": 0.0016173931647998948, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.647)" }, "parent_node_id": "node_596", "improvement_over_parent": null }, "node_598": { "node_id": "node_598", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 85)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n\nPerformance:\n Mass: 140.06 kg\n Factor of Safety: 0.11\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": 140.05912813198705, "fos_buckling": 0.10796293646847399, "fos_yielding": 1.7548189578078441, "deflection": 0.005943164430653872, "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: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 147.07 kg\n Factor of Safety: 0.11\n Max Deflection: 5.93e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.0717184510495, "fos_buckling": 0.1078825589359139, "fos_yielding": 1.7535125092938264, "deflection": 0.00592879185849051, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002051)" }, "parent_node_id": "node_599", "improvement_over_parent": null }, "node_601": { "node_id": "node_601", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n\nPerformance:\n Mass: 162.91 kg\n Factor of Safety: 0.12\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": 162.9066632997495, "fos_buckling": 0.11753727155074363, "fos_yielding": 1.9401195414101138, "deflection": 0.005357085284518722, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.117)" }, "parent_node_id": "node_600", "improvement_over_parent": null }, "node_602": { "node_id": "node_602", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 180.69 kg\n Factor of Safety: 0.13\n Max Deflection: 4.83e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.69445252992514, "fos_buckling": 0.1279338892627018, "fos_yielding": 2.1492385497544864, "deflection": 0.004834372720546834, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.120)" }, "parent_node_id": "node_601", "improvement_over_parent": null }, "node_603": { "node_id": "node_603", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.35 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.34642088129854, "fos_buckling": 1.568163173174616, "fos_yielding": 4.153343672325317, "deflection": 0.0014499188706583184, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_602", "improvement_over_parent": null }, "node_604": { "node_id": "node_604", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_603", "improvement_over_parent": null }, "node_605": { "node_id": "node_605", "content": "INITIAL DESIGN (Trace 86)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\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_606": { "node_id": "node_606", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n\nPerformance:\n Mass: 173.21 kg\n Factor of Safety: 0.04\n Max Deflection: 6.28e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.20932528740022, "fos_buckling": 0.03680967685734729, "fos_yielding": 0.5512767230240074, "deflection": 62803782277561.21, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001652)" }, "parent_node_id": "node_605", "improvement_over_parent": null }, "node_607": { "node_id": "node_607", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 216.82 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 216.82037953016092, "fos_buckling": 1.5229215790717419, "fos_yielding": 4.195876677109285, "deflection": 0.0014702659857861622, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_606", "improvement_over_parent": null }, "node_608": { "node_id": "node_608", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 220.37 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 220.37478686585894, "fos_buckling": 1.5660622522898697, "fos_yielding": 4.159968040477322, "deflection": 0.0014539190686261153, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_607", "improvement_over_parent": null }, "node_609": { "node_id": "node_609", "content": "MODIFICATION: Increase 8 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.26277566301547, "fos_buckling": 1.5680098090718473, "fos_yielding": 4.151344880687507, "deflection": 0.0014504149527900044, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.553)" }, "parent_node_id": "node_608", "improvement_over_parent": null }, "node_610": { "node_id": "node_610", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_609", "improvement_over_parent": null }, "node_611": { "node_id": "node_611", "content": "INITIAL DESIGN (Trace 87)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n\nPerformance:\n Mass: 140.28 kg\n Factor of Safety: 0.97\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": 140.28274148608068, "fos_buckling": 0.9651732536989798, "fos_yielding": 2.809758710586159, "deflection": 0.0023069604790447477, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_612": { "node_id": "node_612", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n\nPerformance:\n Mass: 142.66 kg\n Factor of Safety: 0.96\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": 142.66159912168968, "fos_buckling": 0.9587540434033276, "fos_yielding": 2.7857895479339794, "deflection": 0.0022834269679865736, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001277)" }, "parent_node_id": "node_611", "improvement_over_parent": null }, "node_613": { "node_id": "node_613", "content": "MODIFICATION: Increase 9 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n\nPerformance:\n Mass: 146.76 kg\n Factor of Safety: 1.09\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": 146.7600810700003, "fos_buckling": 1.0861840066089523, "fos_yielding": 2.7832403470258775, "deflection": 0.002182325590142766, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.183)" }, "parent_node_id": "node_612", "improvement_over_parent": null }, "node_614": { "node_id": "node_614", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n\nPerformance:\n Mass: 181.95 kg\n Factor of Safety: 1.31\n Max Deflection: 1.76e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.9509978887038, "fos_buckling": 1.3083854303755806, "fos_yielding": 3.447473108581751, "deflection": 0.0017642313355848284, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.258)" }, "parent_node_id": "node_613", "improvement_over_parent": null }, "node_615": { "node_id": "node_615", "content": "MODIFICATION: Increase 10 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 182.53 kg\n Factor of Safety: 1.31\n Max Deflection: 1.76e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.53402880517854, "fos_buckling": 1.3078992966359406, "fos_yielding": 3.4459213648625657, "deflection": 0.0017633500160206858, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.217)" }, "parent_node_id": "node_614", "improvement_over_parent": null }, "node_616": { "node_id": "node_616", "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0056)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 187.14 kg\n Factor of Safety: 1.20\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.1407310317456, "fos_buckling": 1.1970220846884423, "fos_yielding": 3.4487608524530153, "deflection": 0.0017519408843409202, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.200)" }, "parent_node_id": "node_615", "improvement_over_parent": null }, "node_617": { "node_id": "node_617", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0069)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0056)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0024)]\n\nPerformance:\n Mass: 225.74 kg\n Factor of Safety: 1.43\n Max Deflection: 1.46e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 225.73678179698715, "fos_buckling": 1.42577004857649, "fos_yielding": 4.1585756931877365, "deflection": 0.0014551549143657799, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.227)" }, "parent_node_id": "node_616", "improvement_over_parent": null }, "node_618": { "node_id": "node_618", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_617", "improvement_over_parent": null }, "node_619": { "node_id": "node_619", "content": "INITIAL DESIGN (Trace 88)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 212.17 kg\n Factor of Safety: 1.37\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.1729401089759, "fos_buckling": 1.3689359714707467, "fos_yielding": 4.1665872029000015, "deflection": 0.0015347758572592228, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_620": { "node_id": "node_620", "content": "MODIFICATION: Increase 8 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 214.93 kg\n Factor of Safety: 1.32\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.92590723073295, "fos_buckling": 1.3224984749123114, "fos_yielding": 4.160121592528656, "deflection": 0.0015325228550989787, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.515)" }, "parent_node_id": "node_619", "improvement_over_parent": null }, "node_621": { "node_id": "node_621", "content": "MODIFICATION: Increase 9 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 217.31 kg\n Factor of Safety: 1.26\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.31381882681657, "fos_buckling": 1.2566505148618217, "fos_yielding": 4.161642552028116, "deflection": 0.0015281747608759419, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.258)" }, "parent_node_id": "node_620", "improvement_over_parent": null }, "node_622": { "node_id": "node_622", "content": "MODIFICATION: Increase 5 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 219.08 kg\n Factor of Safety: 1.41\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 219.07718664017824, "fos_buckling": 1.411386918704943, "fos_yielding": 4.155194314271899, "deflection": 0.0015190407285079674, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.441)" }, "parent_node_id": "node_621", "improvement_over_parent": null }, "node_623": { "node_id": "node_623", "content": "MODIFICATION: Increase 1 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.27 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.26517785760618, "fos_buckling": 1.567969961496852, "fos_yielding": 4.151340271090183, "deflection": 0.0014503818847044318, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.344)" }, "parent_node_id": "node_622", "improvement_over_parent": null }, "node_624": { "node_id": "node_624", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 89)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0021)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 119.10 kg\n Factor of Safety: 0.45\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": 119.09902279346886, "fos_buckling": 0.44580321212666735, "fos_yielding": 2.5175614868053073, "deflection": 0.0027722910892864733, "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: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0026)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 143.18 kg\n Factor of Safety: 0.52\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": 143.18439169338697, "fos_buckling": 0.5246602585320015, "fos_yielding": 3.023552722842311, "deflection": 0.0023077849747237516, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.215)" }, "parent_node_id": "node_625", "improvement_over_parent": null }, "node_627": { "node_id": "node_627", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 164.63 kg\n Factor of Safety: 0.59\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": 164.6304979636654, "fos_buckling": 0.5918036838872479, "fos_yielding": 3.4731414656384425, "deflection": 0.0020085223917542068, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.161)" }, "parent_node_id": "node_626", "improvement_over_parent": null }, "node_628": { "node_id": "node_628", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n\nPerformance:\n Mass: 175.29 kg\n Factor of Safety: 0.65\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.29157371346938, "fos_buckling": 0.6519483470483417, "fos_yielding": 3.481495033478132, "deflection": 0.0019676817127242717, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002592)" }, "parent_node_id": "node_627", "improvement_over_parent": null }, "node_629": { "node_id": "node_629", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 206.59 kg\n Factor of Safety: 0.75\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.58743363543593, "fos_buckling": 0.7486479981340635, "fos_yielding": 4.097880956645508, "deflection": 0.0016707431252185833, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.195)" }, "parent_node_id": "node_628", "improvement_over_parent": null }, "node_630": { "node_id": "node_630", "content": "MODIFICATION: Increase 7 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 222.40 kg\n Factor of Safety: 1.56\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 222.39939142504042, "fos_buckling": 1.562832187730821, "fos_yielding": 4.153449765315935, "deflection": 0.0014517323523369206, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.623)" }, "parent_node_id": "node_629", "improvement_over_parent": null }, "node_631": { "node_id": "node_631", "content": "MODIFICATION: Increase 3 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.41 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.4095220427861, "fos_buckling": 1.5688661348302608, "fos_yielding": 4.154147476393296, "deflection": 0.0014494655559564849, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.266)" }, "parent_node_id": "node_630", "improvement_over_parent": null }, "node_632": { "node_id": "node_632", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 90)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0010)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 122.42 kg\n Factor of Safety: 0.70\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": 122.42390293424448, "fos_buckling": 0.6958245731108532, "fos_yielding": 2.596390554301277, "deflection": 0.0027593933192529537, "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 all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0025)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 138.37 kg\n Factor of Safety: 0.78\n Max Deflection: 2.44e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.3732224771159, "fos_buckling": 0.7802907389747337, "fos_yielding": 2.9327958792847375, "deflection": 0.0024422030897734096, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.138)" }, "parent_node_id": "node_633", "improvement_over_parent": null }, "node_635": { "node_id": "node_635", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 177.10 kg\n Factor of Safety: 0.98\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.09718466630335, "fos_buckling": 0.9794228841163927, "fos_yielding": 3.747598356172842, "deflection": 0.001909706462540423, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.302)" }, "parent_node_id": "node_634", "improvement_over_parent": null }, "node_636": { "node_id": "node_636", "content": "MODIFICATION: Increase 5 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 178.75 kg\n Factor of Safety: 0.98\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.75353178299278, "fos_buckling": 0.9790794140896086, "fos_yielding": 3.747598356172842, "deflection": 0.0019057140447302726, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.468)" }, "parent_node_id": "node_635", "improvement_over_parent": null }, "node_637": { "node_id": "node_637", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 200.18 kg\n Factor of Safety: 1.08\n Max Deflection: 1.70e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.17794370528074, "fos_buckling": 1.0846519565509911, "fos_yielding": 4.1933129077480125, "deflection": 0.0017024204622036333, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.131)" }, "parent_node_id": "node_636", "improvement_over_parent": null }, "node_638": { "node_id": "node_638", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 208.79 kg\n Factor of Safety: 0.81\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.7910483200414, "fos_buckling": 0.8142451842408434, "fos_yielding": 4.099949621441776, "deflection": 0.0016417442976427998, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_637", "improvement_over_parent": null }, "node_639": { "node_id": "node_639", "content": "MODIFICATION: Increase 7 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.10 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.09833014477132, "fos_buckling": 1.567053441710902, "fos_yielding": 4.148225135600426, "deflection": 0.001451499889805177, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.536)" }, "parent_node_id": "node_638", "improvement_over_parent": null }, "node_640": { "node_id": "node_640", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_639", "improvement_over_parent": null }, "node_641": { "node_id": "node_641", "content": "INITIAL DESIGN (Trace 91)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 154.89 kg\n Factor of Safety: 1.03\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": 154.88800655578459, "fos_buckling": 1.034801484799607, "fos_yielding": 2.9028247019645845, "deflection": 0.002073723689576156, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_642": { "node_id": "node_642", "content": "MODIFICATION: Increase 2 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 155.73 kg\n Factor of Safety: 1.16\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.73382410843436, "fos_buckling": 1.1582321949616745, "fos_yielding": 2.899267480782277, "deflection": 0.002070497540466796, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.550)" }, "parent_node_id": "node_641", "improvement_over_parent": null }, "node_643": { "node_id": "node_643", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 201.35 kg\n Factor of Safety: 1.44\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.35036548711702, "fos_buckling": 1.4411109940339002, "fos_yielding": 3.745447916947898, "deflection": 0.0016060368993457096, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.318)" }, "parent_node_id": "node_642", "improvement_over_parent": null }, "node_644": { "node_id": "node_644", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.34 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.33615139480045, "fos_buckling": 1.568451509303275, "fos_yielding": 4.1527888952216205, "deflection": 0.0014499406483403027, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.120)" }, "parent_node_id": "node_643", "improvement_over_parent": null }, "node_645": { "node_id": "node_645", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_644", "improvement_over_parent": null }, "node_646": { "node_id": "node_646", "content": "INITIAL DESIGN (Trace 92)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 117.18 kg\n Factor of Safety: 0.69\n Max Deflection: 2.76e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.17676998378818, "fos_buckling": 0.685397957544482, "fos_yielding": 2.6212860111988032, "deflection": 2763725537603.537, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_647": { "node_id": "node_647", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 148.33 kg\n Factor of Safety: 0.86\n Max Deflection: 2.02e+11 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.32558481860585, "fos_buckling": 0.8552450186725681, "fos_yielding": 3.313876491322163, "deflection": 202384165031.05603, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.284)" }, "parent_node_id": "node_646", "improvement_over_parent": null }, "node_648": { "node_id": "node_648", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 153.18 kg\n Factor of Safety: 0.85\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": 153.18175419902062, "fos_buckling": 0.8509244715152225, "fos_yielding": 3.313876491322163, "deflection": 0.0022776079232412396, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001984)" }, "parent_node_id": "node_647", "improvement_over_parent": null }, "node_649": { "node_id": "node_649", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n\nPerformance:\n Mass: 157.27 kg\n Factor of Safety: 0.85\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": 157.2668662206891, "fos_buckling": 0.8505558859748278, "fos_yielding": 3.313876491322163, "deflection": 0.0021832462930535547, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001838)" }, "parent_node_id": "node_648", "improvement_over_parent": null }, "node_650": { "node_id": "node_650", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 199.61 kg\n Factor of Safety: 1.06\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.60643949660275, "fos_buckling": 1.058002193585214, "fos_yielding": 4.199134988326335, "deflection": 0.0017211772791106428, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.294)" }, "parent_node_id": "node_649", "improvement_over_parent": null }, "node_651": { "node_id": "node_651", "content": "MODIFICATION: Increase 7 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0091)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 220.97 kg\n Factor of Safety: 1.06\n Max Deflection: 1.60e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 220.97257773339447, "fos_buckling": 1.0556181948332273, "fos_yielding": 4.199134988326335, "deflection": 0.0015960319808221617, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.585)" }, "parent_node_id": "node_650", "improvement_over_parent": null }, "node_652": { "node_id": "node_652", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0091)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 229.59 kg\n Factor of Safety: 0.72\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 229.58568234815513, "fos_buckling": 0.7244709303917494, "fos_yielding": 4.09450314830118, "deflection": 0.001523611507978898, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_651", "improvement_over_parent": null }, "node_653": { "node_id": "node_653", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_652", "improvement_over_parent": null }, "node_654": { "node_id": "node_654", "content": "INITIAL DESIGN (Trace 93)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0029)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 197.74 kg\n Factor of Safety: 0.57\n Max Deflection: 1.84e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.74286828928675, "fos_buckling": 0.5715570674783498, "fos_yielding": 4.065434950423132, "deflection": 0.0018381015387402247, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_655": { "node_id": "node_655", "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 205.76 kg\n Factor of Safety: 0.89\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.7642898321238, "fos_buckling": 0.8910964029575132, "fos_yielding": 4.110676017041422, "deflection": 0.0016557601691586964, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.376)" }, "parent_node_id": "node_654", "improvement_over_parent": null }, "node_656": { "node_id": "node_656", "content": "MODIFICATION: Increase 1 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 208.29 kg\n Factor of Safety: 0.87\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.2934352837263, "fos_buckling": 0.8709977048103404, "fos_yielding": 4.108788782728192, "deflection": 0.001617399885002642, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.185)" }, "parent_node_id": "node_655", "improvement_over_parent": null }, "node_657": { "node_id": "node_657", "content": "MODIFICATION: Increase 7 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 221.22 kg\n Factor of Safety: 1.56\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 221.22453677031936, "fos_buckling": 1.5597818934448326, "fos_yielding": 4.150535713937605, "deflection": 0.0014532632915343878, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.462)" }, "parent_node_id": "node_656", "improvement_over_parent": null }, "node_658": { "node_id": "node_658", "content": "MODIFICATION: Increase 9 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.30 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.29620231764164, "fos_buckling": 1.5680449387553292, "fos_yielding": 4.1514097528344545, "deflection": 0.001450155036870059, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.217)" }, "parent_node_id": "node_657", "improvement_over_parent": null }, "node_659": { "node_id": "node_659", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_658", "improvement_over_parent": null }, "node_660": { "node_id": "node_660", "content": "INITIAL DESIGN (Trace 94)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 176.49 kg\n Factor of Safety: 0.06\n Max Deflection: 6.37e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.4927492069602, "fos_buckling": 0.06040573273636347, "fos_yielding": 1.4768709000920954, "deflection": 0.0063681192154409, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_661": { "node_id": "node_661", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 220.10 kg\n Factor of Safety: 1.55\n Max Deflection: 1.46e-03 m\n Status: FEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 220.1038034497209, "fos_buckling": 1.5510332010524253, "fos_yielding": 4.1552584329451285, "deflection": 0.0014602897978423558, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_660", "improvement_over_parent": null }, "node_662": { "node_id": "node_662", "content": "MODIFICATION: Increase 3 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 221.57 kg\n Factor of Safety: 1.49\n Max Deflection: 1.46e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.56789580023263, "fos_buckling": 1.4924358104964837, "fos_yielding": 4.1565314213384, "deflection": 0.001457330079892986, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.433)" }, "parent_node_id": "node_661", "improvement_over_parent": null }, "node_663": { "node_id": "node_663", "content": "MODIFICATION: Increase 5 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.259194013145, "fos_buckling": 1.5680019061832693, "fos_yielding": 4.151351269628284, "deflection": 0.001450421839722039, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.416)" }, "parent_node_id": "node_662", "improvement_over_parent": null }, "node_664": { "node_id": "node_664", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_663", "improvement_over_parent": null }, "node_665": { "node_id": "node_665", "content": "INITIAL DESIGN (Trace 95)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 142.82 kg\n Factor of Safety: 0.04\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": 142.82201593689018, "fos_buckling": 0.03782712513429636, "fos_yielding": 0.8599227134493926, "deflection": 0.0080476947840304, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_666": { "node_id": "node_666", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 159.48 kg\n Factor of Safety: 0.04\n Max Deflection: 7.21e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.47547249302136, "fos_buckling": 0.04181917123289988, "fos_yielding": 0.9619260462479625, "deflection": 0.007208430647749276, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.127)" }, "parent_node_id": "node_665", "improvement_over_parent": null }, "node_667": { "node_id": "node_667", "content": "MODIFICATION: Increase 4 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 171.69 kg\n Factor of Safety: 0.04\n Max Deflection: 6.85e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.689937509314, "fos_buckling": 0.041819171232899896, "fos_yielding": 0.9619260462479627, "deflection": 0.006851759144964289, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.587)" }, "parent_node_id": "node_666", "improvement_over_parent": null }, "node_668": { "node_id": "node_668", "content": "MODIFICATION: Increase 2 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 172.93 kg\n Factor of Safety: 0.06\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.92920455078007, "fos_buckling": 0.06040339302375132, "fos_yielding": 1.476737219036179, "deflection": 0.00610176670525646, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.587)" }, "parent_node_id": "node_667", "improvement_over_parent": null }, "node_669": { "node_id": "node_669", "content": "MODIFICATION: Increase 0 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 179.61 kg\n Factor of Safety: 0.06\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.60512674756006, "fos_buckling": 0.060360679795379714, "fos_yielding": 1.475692969517667, "deflection": 0.006104525351462427, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.650)" }, "parent_node_id": "node_668", "improvement_over_parent": null }, "node_670": { "node_id": "node_670", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.22 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.21618099032077, "fos_buckling": 1.5676991011461592, "fos_yielding": 4.15033058804381, "deflection": 0.0014506700399673916, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_669", "improvement_over_parent": null }, "node_671": { "node_id": "node_671", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_670", "improvement_over_parent": null }, "node_672": { "node_id": "node_672", "content": "INITIAL DESIGN (Trace 96)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0045)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n\nPerformance:\n Mass: 161.96 kg\n Factor of Safety: 1.16\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.9620517921206, "fos_buckling": 1.1609409981820948, "fos_yielding": 3.1383209887149666, "deflection": 0.002032980771849953, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_673": { "node_id": "node_673", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 190.66 kg\n Factor of Safety: 1.33\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.66476592343275, "fos_buckling": 1.3338708954087783, "fos_yielding": 3.692264876278657, "deflection": 0.0017292428196122665, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.192)" }, "parent_node_id": "node_672", "improvement_over_parent": null }, "node_674": { "node_id": "node_674", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 196.07 kg\n Factor of Safety: 1.41\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.0652594000276, "fos_buckling": 1.409631633852861, "fos_yielding": 3.647538081995547, "deflection": 0.0016487697972669953, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002225)" }, "parent_node_id": "node_673", "improvement_over_parent": null }, "node_675": { "node_id": "node_675", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.37 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.36711355772803, "fos_buckling": 1.5686287024996872, "fos_yielding": 4.153426674859809, "deflection": 0.0014497337775813848, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.153)" }, "parent_node_id": "node_674", "improvement_over_parent": null }, "node_676": { "node_id": "node_676", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_675", "improvement_over_parent": null }, "node_677": { "node_id": "node_677", "content": "INITIAL DESIGN (Trace 97)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0010)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 103.31 kg\n Factor of Safety: 0.04\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 103.31466570369732, "fos_buckling": 0.040813402961582555, "fos_yielding": 0.7073105052471345, "deflection": 0.011833884806998334, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_678": { "node_id": "node_678", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0045)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n\nPerformance:\n Mass: 123.72 kg\n Factor of Safety: 0.05\n Max Deflection: 9.87e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.72240434150302, "fos_buckling": 0.04777445869370472, "fos_yielding": 0.849468169337391, "deflection": 0.009872947922361736, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.211)" }, "parent_node_id": "node_677", "improvement_over_parent": null }, "node_679": { "node_id": "node_679", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 143.84 kg\n Factor of Safety: 0.05\n Max Deflection: 8.48e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.84439271732478, "fos_buckling": 0.05428630882359152, "fos_yielding": 0.9906146813742752, "deflection": 0.008483527718015652, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.176)" }, "parent_node_id": "node_678", "improvement_over_parent": null }, "node_680": { "node_id": "node_680", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 163.90 kg\n Factor of Safety: 0.06\n Max Deflection: 7.44e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.90395692544874, "fos_buckling": 0.060431921727928196, "fos_yielding": 1.1323907563515487, "deflection": 0.007437305831917011, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.153)" }, "parent_node_id": "node_679", "improvement_over_parent": null }, "node_681": { "node_id": "node_681", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 176.45 kg\n Factor of Safety: 0.06\n Max Deflection: 7.43e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.452314545545, "fos_buckling": 0.060351571622422266, "fos_yielding": 1.130885132930264, "deflection": 0.007431585589685942, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_680", "improvement_over_parent": null }, "node_682": { "node_id": "node_682", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 220.06 kg\n Factor of Safety: 1.57\n Max Deflection: 1.46e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 220.0633687883057, "fos_buckling": 1.565265536624391, "fos_yielding": 4.157036102968269, "deflection": 0.0014550502097830495, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_681", "improvement_over_parent": null }, "node_683": { "node_id": "node_683", "content": "MODIFICATION: Increase 8 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0091)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 242.02 kg\n Factor of Safety: 1.57\n Max Deflection: 1.32e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 242.01833381234712, "fos_buckling": 1.5694050733790634, "fos_yielding": 4.150985501326385, "deflection": 0.0013225691941107156, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.603)" }, "parent_node_id": "node_682", "improvement_over_parent": null }, "node_684": { "node_id": "node_684", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_683", "improvement_over_parent": null }, "node_685": { "node_id": "node_685", "content": "INITIAL DESIGN (Trace 98)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 140.12 kg\n Factor of Safety: 1.05\n Max Deflection: 2.34e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.1245964702528, "fos_buckling": 1.0477282499478806, "fos_yielding": 2.7833360630331545, "deflection": 0.0023416911508064822, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_686": { "node_id": "node_686", "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 143.28 kg\n Factor of Safety: 1.08\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": 143.2843326196191, "fos_buckling": 1.0769042241566515, "fos_yielding": 2.7833360630331536, "deflection": 0.002218440049996302, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.395)" }, "parent_node_id": "node_685", "improvement_over_parent": null }, "node_687": { "node_id": "node_687", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n\nPerformance:\n Mass: 145.64 kg\n Factor of Safety: 1.10\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": 145.64034250698455, "fos_buckling": 1.0969446966958132, "fos_yielding": 2.7543241396717337, "deflection": 0.0021865404426527355, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001264)" }, "parent_node_id": "node_686", "improvement_over_parent": null }, "node_688": { "node_id": "node_688", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n\nPerformance:\n Mass: 170.80 kg\n Factor of Safety: 1.26\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.8018303320417, "fos_buckling": 1.259367611382731, "fos_yielding": 3.2282915672117656, "deflection": 0.0018676094940743178, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.185)" }, "parent_node_id": "node_687", "improvement_over_parent": null }, "node_689": { "node_id": "node_689", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 219.72 kg\n Factor of Safety: 1.55\n Max Deflection: 1.46e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 219.7241205397341, "fos_buckling": 1.5526765344862266, "fos_yielding": 4.148191904824855, "deflection": 0.001456599362881113, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.314)" }, "parent_node_id": "node_688", "improvement_over_parent": null }, "node_690": { "node_id": "node_690", "content": "MODIFICATION: Increase 9 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0081)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 235.18 kg\n Factor of Safety: 1.51\n Max Deflection: 1.35e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 235.17784225787918, "fos_buckling": 1.5138397706181757, "fos_yielding": 4.143072885744901, "deflection": 0.0013499775336663735, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.416)" }, "parent_node_id": "node_689", "improvement_over_parent": null }, "node_691": { "node_id": "node_691", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_690", "improvement_over_parent": null }, "node_692": { "node_id": "node_692", "content": "INITIAL DESIGN (Trace 99)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, 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_693": { "node_id": "node_693", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nPerformance:\n Mass: 168.37 kg\n Factor of Safety: 1.19\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.3749775917042, "fos_buckling": 1.1921331641674444, "fos_yielding": 3.2945189887382114, "deflection": 0.0019664119451102084, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002380)" }, "parent_node_id": "node_692", "improvement_over_parent": null }, "node_694": { "node_id": "node_694", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 214.39 kg\n Factor of Safety: 1.46\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.39313614839696, "fos_buckling": 1.4562935324745387, "fos_yielding": 4.192441536193467, "deflection": 0.0015547193947062236, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.300)" }, "parent_node_id": "node_693", "improvement_over_parent": null }, "node_695": { "node_id": "node_695", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 219.57 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 219.56747902512564, "fos_buckling": 1.5216462597468552, "fos_yielding": 4.192441536193467, "deflection": 0.0014715401459883964, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_694", "improvement_over_parent": null }, "node_696": { "node_id": "node_696", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.12 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.12188636082365, "fos_buckling": 1.5672211089789774, "fos_yielding": 4.148703853835761, "deflection": 0.001451342051722263, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_695", "improvement_over_parent": null }, "node_697": { "node_id": "node_697", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_696", "improvement_over_parent": null }, "node_698": { "node_id": "node_698", "content": "INITIAL DESIGN (Trace 100)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\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_699": { "node_id": "node_699", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n\nPerformance:\n Mass: 192.64 kg\n Factor of Safety: 1.33\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.6449128055301, "fos_buckling": 1.3347140791339998, "fos_yielding": 3.7682583878764357, "deflection": 0.001724753313751731, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002752)" }, "parent_node_id": "node_698", "improvement_over_parent": null }, "node_700": { "node_id": "node_700", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n\nPerformance:\n Mass: 197.29 kg\n Factor of Safety: 1.39\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.29079099774913, "fos_buckling": 1.3946874022819469, "fos_yielding": 3.768258387876435, "deflection": 0.0016351886222813789, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002112)" }, "parent_node_id": "node_699", "improvement_over_parent": null }, "node_701": { "node_id": "node_701", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n\nPerformance:\n Mass: 200.48 kg\n Factor of Safety: 1.44\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.48347688777199, "fos_buckling": 1.435969506467108, "fos_yielding": 3.7294059360742744, "deflection": 0.0016128836028275466, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001751)" }, "parent_node_id": "node_700", "improvement_over_parent": null }, "node_702": { "node_id": "node_702", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.29 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.28811326786132, "fos_buckling": 1.568178341298741, "fos_yielding": 4.1519276784834265, "deflection": 0.0014502395963843348, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.125)" }, "parent_node_id": "node_701", "improvement_over_parent": null }, "node_703": { "node_id": "node_703", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_702", "improvement_over_parent": null }, "node_704": { "node_id": "node_704", "content": "INITIAL DESIGN (Trace 101)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 149.68 kg\n Factor of Safety: 0.99\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.6794914316654, "fos_buckling": 0.986857973560342, "fos_yielding": 2.4120412919956453, "deflection": 0.002111283463268303, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_705": { "node_id": "node_705", "content": "MODIFICATION: Increase 7 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 151.91 kg\n Factor of Safety: 0.99\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": 151.90515526046548, "fos_buckling": 0.9853122577312731, "fos_yielding": 2.4082633112676235, "deflection": 0.0021065335607239645, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.572)" }, "parent_node_id": "node_704", "improvement_over_parent": null }, "node_706": { "node_id": "node_706", "content": "MODIFICATION: Increase 3 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 157.58 kg\n Factor of Safety: 0.92\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": 157.58039036622452, "fos_buckling": 0.9225384304582607, "fos_yielding": 3.0602680137761578, "deflection": 0.0020805906855166237, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.299)" }, "parent_node_id": "node_705", "improvement_over_parent": null }, "node_707": { "node_id": "node_707", "content": "MODIFICATION: Increase 0 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 159.87 kg\n Factor of Safety: 1.12\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": 159.86524587253513, "fos_buckling": 1.1194197990520627, "fos_yielding": 3.068355615345144, "deflection": 0.0020160514972052744, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.222)" }, "parent_node_id": "node_706", "improvement_over_parent": null }, "node_708": { "node_id": "node_708", "content": "MODIFICATION: Increase 4 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 161.44 kg\n Factor of Safety: 1.05\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": 161.43685917822046, "fos_buckling": 1.0500718088064687, "fos_yielding": 3.065848318947114, "deflection": 0.0020139255041080888, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.562)" }, "parent_node_id": "node_707", "improvement_over_parent": null }, "node_709": { "node_id": "node_709", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 195.94 kg\n Factor of Safety: 1.22\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.93622762478753, "fos_buckling": 1.2220710608374745, "fos_yielding": 3.7185819457547575, "deflection": 0.0016632982135327188, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.232)" }, "parent_node_id": "node_708", "improvement_over_parent": null }, "node_710": { "node_id": "node_710", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 218.05 kg\n Factor of Safety: 1.32\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.04597484979098, "fos_buckling": 1.3234644263645612, "fos_yielding": 4.136451531917258, "deflection": 0.0014969289746661735, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.124)" }, "parent_node_id": "node_709", "improvement_over_parent": null }, "node_711": { "node_id": "node_711", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 223.22 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.22031772651965, "fos_buckling": 1.5678822496281306, "fos_yielding": 4.150189036192575, "deflection": 0.0014507342207272127, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_710", "improvement_over_parent": null }, "node_712": { "node_id": "node_712", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_711", "improvement_over_parent": null }, "node_713": { "node_id": "node_713", "content": "INITIAL DESIGN (Trace 102)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 150.85 kg\n Factor of Safety: 0.05\n Max Deflection: 7.23e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.84653387875022, "fos_buckling": 0.0538882789030377, "fos_yielding": 1.2873674437802807, "deflection": 0.007233451579941919, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_714": { "node_id": "node_714", "content": "MODIFICATION: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 151.81 kg\n Factor of Safety: 0.05\n Max Deflection: 7.02e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.81184178112335, "fos_buckling": 0.05387723543071226, "fos_yielding": 1.2871036200503814, "deflection": 0.007016146928404087, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.238)" }, "parent_node_id": "node_713", "improvement_over_parent": null }, "node_715": { "node_id": "node_715", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 174.47 kg\n Factor of Safety: 0.06\n Max Deflection: 6.11e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.47425675440184, "fos_buckling": 0.06040698798316035, "fos_yielding": 1.4768971954856387, "deflection": 0.006112403256506296, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.164)" }, "parent_node_id": "node_714", "improvement_over_parent": null }, "node_716": { "node_id": "node_716", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 218.09 kg\n Factor of Safety: 1.32\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.08531099716254, "fos_buckling": 1.3240502794369802, "fos_yielding": 4.137539391340251, "deflection": 0.0014966296027520115, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_715", "improvement_over_parent": null }, "node_717": { "node_id": "node_717", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.2596538738912, "fos_buckling": 1.567996389018999, "fos_yielding": 4.151279043591878, "deflection": 0.0014504288693090348, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_716", "improvement_over_parent": null }, "node_718": { "node_id": "node_718", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 103)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n\nPerformance:\n Mass: 112.44 kg\n Factor of Safety: 0.98\n Max Deflection: 2.31e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.4387368357234, "fos_buckling": 0.9805703726354114, "fos_yielding": 2.3627422759435026, "deflection": 23062543664229.92, "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: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n\nPerformance:\n Mass: 115.95 kg\n Factor of Safety: 0.09\n Max Deflection: 7.11e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.9463399654579, "fos_buckling": 0.09210657182560944, "fos_yielding": 1.4623381699247286, "deflection": 0.0071059544240976045, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001562)" }, "parent_node_id": "node_719", "improvement_over_parent": null }, "node_721": { "node_id": "node_721", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n\nPerformance:\n Mass: 147.38 kg\n Factor of Safety: 0.11\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.37917436734497, "fos_buckling": 0.11306916865465444, "fos_yielding": 1.8529858286394223, "deflection": 0.00560478095925628, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.292)" }, "parent_node_id": "node_720", "improvement_over_parent": null }, "node_722": { "node_id": "node_722", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 184.12 kg\n Factor of Safety: 1.07\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.12214079511892, "fos_buckling": 1.0710825981579128, "fos_yielding": 2.640263699109104, "deflection": 0.001705314132470177, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004851)" }, "parent_node_id": "node_721", "improvement_over_parent": null }, "node_723": { "node_id": "node_723", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 213.73 kg\n Factor of Safety: 1.23\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.7285421814914, "fos_buckling": 1.2251298184006165, "fos_yielding": 3.0738842245881055, "deflection": 0.0014723126979054972, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.176)" }, "parent_node_id": "node_722", "improvement_over_parent": null }, "node_724": { "node_id": "node_724", "content": "MODIFICATION: Increase 4 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0036)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 215.87 kg\n Factor of Safety: 1.22\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.86973483228897, "fos_buckling": 1.2242290217424323, "fos_yielding": 3.0716241011337857, "deflection": 0.001468616916486717, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.399)" }, "parent_node_id": "node_723", "improvement_over_parent": null }, "node_725": { "node_id": "node_725", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 104)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, 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_727": { "node_id": "node_727", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n\nPerformance:\n Mass: 173.13 kg\n Factor of Safety: 1.26\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.12992478939614, "fos_buckling": 1.2623913439547727, "fos_yielding": 3.486117338677581, "deflection": 0.001828121173596242, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001609)" }, "parent_node_id": "node_726", "improvement_over_parent": null }, "node_728": { "node_id": "node_728", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 180.28 kg\n Factor of Safety: 1.27\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.28198529122906, "fos_buckling": 1.2724415385492387, "fos_yielding": 3.4919401924688827, "deflection": 0.0018279615004400678, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002095)" }, "parent_node_id": "node_727", "improvement_over_parent": null }, "node_729": { "node_id": "node_729", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 185.39 kg\n Factor of Safety: 1.35\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.39234622365476, "fos_buckling": 1.345011270098781, "fos_yielding": 3.4495328549183273, "deflection": 0.0017425411859709598, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002096)" }, "parent_node_id": "node_728", "improvement_over_parent": null }, "node_730": { "node_id": "node_730", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.21 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.20776578974872, "fos_buckling": 1.567711085323169, "fos_yielding": 4.150348293494612, "deflection": 0.0014507757534159046, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.224)" }, "parent_node_id": "node_729", "improvement_over_parent": null }, "node_731": { "node_id": "node_731", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_730", "improvement_over_parent": null }, "node_732": { "node_id": "node_732", "content": "INITIAL DESIGN (Trace 105)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, 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_733": { "node_id": "node_733", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n\nPerformance:\n Mass: 152.02 kg\n Factor of Safety: 1.15\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": 152.01991255288885, "fos_buckling": 1.1461803904653811, "fos_yielding": 3.1174281905531953, "deflection": 0.0021409377852384002, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001426)" }, "parent_node_id": "node_732", "improvement_over_parent": null }, "node_734": { "node_id": "node_734", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n\nPerformance:\n Mass: 156.59 kg\n Factor of Safety: 1.19\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": 156.58756833590417, "fos_buckling": 1.1887530549580678, "fos_yielding": 3.1174281905531953, "deflection": 0.002070463354912979, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001858)" }, "parent_node_id": "node_733", "improvement_over_parent": null }, "node_735": { "node_id": "node_735", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 175.49 kg\n Factor of Safety: 1.31\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.4893337704753, "fos_buckling": 1.3096412816821192, "fos_yielding": 3.492512523920635, "deflection": 0.0018492741890929415, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.130)" }, "parent_node_id": "node_734", "improvement_over_parent": null }, "node_736": { "node_id": "node_736", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 182.65 kg\n Factor of Safety: 1.11\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.65405052944755, "fos_buckling": 1.114673862053863, "fos_yielding": 3.4429943497430875, "deflection": 0.0018127234963614739, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002099)" }, "parent_node_id": "node_735", "improvement_over_parent": null }, "node_737": { "node_id": "node_737", "content": "MODIFICATION: Increase 0 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 185.73 kg\n Factor of Safety: 1.35\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.73233151514341, "fos_buckling": 1.3470931513117619, "fos_yielding": 3.4558700098073207, "deflection": 0.0017393441432871032, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.280)" }, "parent_node_id": "node_736", "improvement_over_parent": null }, "node_738": { "node_id": "node_738", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.28 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.2770511796402, "fos_buckling": 1.5681061760825594, "fos_yielding": 4.151669505110718, "deflection": 0.0014502953265642592, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.222)" }, "parent_node_id": "node_737", "improvement_over_parent": null }, "node_739": { "node_id": "node_739", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_738", "improvement_over_parent": null }, "node_740": { "node_id": "node_740", "content": "INITIAL DESIGN (Trace 106)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n\nPerformance:\n Mass: 124.97 kg\n Factor of Safety: 0.09\n Max Deflection: 6.97e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.97126263461836, "fos_buckling": 0.09377565277772554, "fos_yielding": 1.4923554992884052, "deflection": 0.006968957608007221, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_741": { "node_id": "node_741", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n\nPerformance:\n Mass: 153.67 kg\n Factor of Safety: 0.11\n Max Deflection: 5.68e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.66995690193738, "fos_buckling": 0.11195085819073403, "fos_yielding": 1.8313105722579617, "deflection": 0.005676279747691749, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.248)" }, "parent_node_id": "node_740", "improvement_over_parent": null }, "node_742": { "node_id": "node_742", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 189.99 kg\n Factor of Safety: 1.37\n Max Deflection: 1.70e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.98566480279248, "fos_buckling": 1.3736044665870817, "fos_yielding": 3.5342393954397564, "deflection": 0.0017007997767928848, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004790)" }, "parent_node_id": "node_741", "improvement_over_parent": null }, "node_743": { "node_id": "node_743", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.20 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.1957568510884, "fos_buckling": 1.5683108908296384, "fos_yielding": 4.149584088938588, "deflection": 0.0014507653120933947, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.192)" }, "parent_node_id": "node_742", "improvement_over_parent": null }, "node_744": { "node_id": "node_744", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_743", "improvement_over_parent": null }, "node_745": { "node_id": "node_745", "content": "INITIAL DESIGN (Trace 107)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n\nPerformance:\n Mass: 145.76 kg\n Factor of Safety: 0.14\n Max Deflection: 3.20e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.75777674938294, "fos_buckling": 0.13579085036444005, "fos_yielding": 2.1625358968577, "deflection": 3203589523561.726, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_746": { "node_id": "node_746", "content": "MODIFICATION: Increase 2 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n\nPerformance:\n Mass: 146.68 kg\n Factor of Safety: 0.26\n Max Deflection: 4.01e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.67615050968365, "fos_buckling": 0.2633408329646176, "fos_yielding": 3.942962889120365, "deflection": 4013560176565.979, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.276)" }, "parent_node_id": "node_745", "improvement_over_parent": null }, "node_747": { "node_id": "node_747", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 167.94 kg\n Factor of Safety: 0.01\n Max Deflection: 1.33e+14 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.93874309494947, "fos_buckling": 0.007828347191436437, "fos_yielding": 0.15796040239694706, "deflection": 132980082179804.73, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.159)" }, "parent_node_id": "node_746", "improvement_over_parent": null }, "node_748": { "node_id": "node_748", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 171.49 kg\n Factor of Safety: 0.06\n Max Deflection: 9.62e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.4931504306475, "fos_buckling": 0.060416385275890314, "fos_yielding": 1.4951388290203473, "deflection": 0.00962278559056999, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_747", "improvement_over_parent": null }, "node_749": { "node_id": "node_749", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 177.65 kg\n Factor of Safety: 0.13\n Max Deflection: 4.84e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.64696516894531, "fos_buckling": 0.1279301973516229, "fos_yielding": 2.14901147988697, "deflection": 0.004835517374144386, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_748", "improvement_over_parent": null }, "node_750": { "node_id": "node_750", "content": "MODIFICATION: Increase 1 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 180.62 kg\n Factor of Safety: 0.13\n Max Deflection: 4.84e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.61974926754925, "fos_buckling": 0.12788991819375747, "fos_yielding": 2.148334857991242, "deflection": 0.004836370102849731, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.224)" }, "parent_node_id": "node_749", "improvement_over_parent": null }, "node_751": { "node_id": "node_751", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.27 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.27171761892265, "fos_buckling": 1.568084617732875, "fos_yielding": 4.151566999089617, "deflection": 0.0014503429001977157, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_750", "improvement_over_parent": null }, "node_752": { "node_id": "node_752", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_751", "improvement_over_parent": null }, "node_753": { "node_id": "node_753", "content": "INITIAL DESIGN (Trace 108)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0009)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 114.27 kg\n Factor of Safety: 0.04\n Max Deflection: 9.46e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.26735969825411, "fos_buckling": 0.041496103012344535, "fos_yielding": 0.9531313913024952, "deflection": 0.009462837382754857, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_754": { "node_id": "node_754", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 129.49 kg\n Factor of Safety: 0.05\n Max Deflection: 8.36e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.48880449552655, "fos_buckling": 0.04628950259095365, "fos_yielding": 1.0788718399250636, "deflection": 0.008358047625293972, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.142)" }, "parent_node_id": "node_753", "improvement_over_parent": null }, "node_755": { "node_id": "node_755", "content": "MODIFICATION: Increase 3 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 130.83 kg\n Factor of Safety: 0.05\n Max Deflection: 8.36e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.83238791298515, "fos_buckling": 0.04628289196901883, "fos_yielding": 1.07871776581645, "deflection": 0.008357280485885748, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.590)" }, "parent_node_id": "node_754", "improvement_over_parent": null }, "node_756": { "node_id": "node_756", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 145.43 kg\n Factor of Safety: 0.05\n Max Deflection: 7.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.42725325772813, "fos_buckling": 0.05067481902424388, "fos_yielding": 1.197808492672992, "deflection": 0.007524740834644836, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.120)" }, "parent_node_id": "node_755", "improvement_over_parent": null }, "node_757": { "node_id": "node_757", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n\nPerformance:\n Mass: 180.72 kg\n Factor of Safety: 1.32\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.72464706858588, "fos_buckling": 1.3163489016068712, "fos_yielding": 3.363023204358771, "deflection": 0.00178703664587582, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004586)" }, "parent_node_id": "node_756", "improvement_over_parent": null }, "node_758": { "node_id": "node_758", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.19 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.191822208342, "fos_buckling": 1.5676506512269877, "fos_yielding": 4.150126544808109, "deflection": 0.0014508904943266465, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.258)" }, "parent_node_id": "node_757", "improvement_over_parent": null }, "node_759": { "node_id": "node_759", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_758", "improvement_over_parent": null }, "node_760": { "node_id": "node_760", "content": "INITIAL DESIGN (Trace 109)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n\nPerformance:\n Mass: 81.74 kg\n Factor of Safety: 0.03\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 81.74485594741633, "fos_buckling": 0.02804653854836685, "fos_yielding": 0.6205010209853566, "deflection": 0.018865530527693675, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_761": { "node_id": "node_761", "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n\nPerformance:\n Mass: 86.75 kg\n Factor of Safety: 0.03\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 86.74597586307648, "fos_buckling": 0.02804653854836685, "fos_yielding": 0.6205010209853566, "deflection": 0.01856609016088452, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.304)" }, "parent_node_id": "node_760", "improvement_over_parent": null }, "node_762": { "node_id": "node_762", "content": "MODIFICATION: Increase 2 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n\nPerformance:\n Mass: 87.54 kg\n Factor of Safety: 0.04\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 87.53509464283684, "fos_buckling": 0.0414097948419508, "fos_yielding": 0.7943715815618346, "deflection": 0.017408287226065067, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.562)" }, "parent_node_id": "node_761", "improvement_over_parent": null }, "node_763": { "node_id": "node_763", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n\nPerformance:\n Mass: 115.40 kg\n Factor of Safety: 0.09\n Max Deflection: 7.54e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.39987984749489, "fos_buckling": 0.08744009447434178, "fos_yielding": 1.379050990630456, "deflection": 0.007542772664322087, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003564)" }, "parent_node_id": "node_762", "improvement_over_parent": null }, "node_764": { "node_id": "node_764", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n\nPerformance:\n Mass: 149.79 kg\n Factor of Safety: 0.11\n Max Deflection: 5.82e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.78864458474186, "fos_buckling": 0.10956873040296901, "fos_yielding": 1.7856142783980649, "deflection": 0.005821926030635164, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.321)" }, "parent_node_id": "node_763", "improvement_over_parent": null }, "node_765": { "node_id": "node_765", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 185.14 kg\n Factor of Safety: 1.34\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.14154352857278, "fos_buckling": 1.3430975672393148, "fos_yielding": 3.4446889145388693, "deflection": 0.001744898222466176, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004653)" }, "parent_node_id": "node_764", "improvement_over_parent": null }, "node_766": { "node_id": "node_766", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.41 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.40824386318974, "fos_buckling": 1.5684372185181326, "fos_yielding": 4.153833586811111, "deflection": 0.001449511560234114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.227)" }, "parent_node_id": "node_765", "improvement_over_parent": null }, "node_767": { "node_id": "node_767", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_766", "improvement_over_parent": null }, "node_768": { "node_id": "node_768", "content": "INITIAL DESIGN (Trace 110)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0008)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 139.94 kg\n Factor of Safety: 0.88\n Max Deflection: 2.29e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.93597930938395, "fos_buckling": 0.8807450624625501, "fos_yielding": 2.6292420010165367, "deflection": 0.0022898676286525247, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_769": { "node_id": "node_769", "content": "MODIFICATION: Increase 3 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 140.36 kg\n Factor of Safety: 1.00\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": 140.3634002998457, "fos_buckling": 0.9969241810749765, "fos_yielding": 2.629700579551229, "deflection": 0.002286060219163791, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.227)" }, "parent_node_id": "node_768", "improvement_over_parent": null }, "node_770": { "node_id": "node_770", "content": "MODIFICATION: Increase 3 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 141.25 kg\n Factor of Safety: 1.06\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": 141.25082824712834, "fos_buckling": 1.0631232787611207, "fos_yielding": 2.6303532712339126, "deflection": 0.002280683743949325, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.393)" }, "parent_node_id": "node_769", "improvement_over_parent": null }, "node_771": { "node_id": "node_771", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0043)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 171.98 kg\n Factor of Safety: 1.26\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.98496433876053, "fos_buckling": 1.261907271115642, "fos_yielding": 3.200920423847361, "deflection": 0.001876761940033657, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.233)" }, "parent_node_id": "node_770", "improvement_over_parent": null }, "node_772": { "node_id": "node_772", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.38 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.37724614107879, "fos_buckling": 1.5686824513403563, "fos_yielding": 4.153598360064831, "deflection": 0.0014496652264233865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.328)" }, "parent_node_id": "node_771", "improvement_over_parent": null }, "node_773": { "node_id": "node_773", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_772", "improvement_over_parent": null }, "node_774": { "node_id": "node_774", "content": "INITIAL DESIGN (Trace 111)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 139.03 kg\n Factor of Safety: 0.93\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": 139.03202558999004, "fos_buckling": 0.9292799536339892, "fos_yielding": 2.641765944928877, "deflection": 0.002334774590114369, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_775": { "node_id": "node_775", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 177.17 kg\n Factor of Safety: 1.13\n Max Deflection: 1.84e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.17238292806496, "fos_buckling": 1.1308944507297638, "fos_yielding": 3.364023778399599, "deflection": 0.0018370205855223296, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.295)" }, "parent_node_id": "node_774", "improvement_over_parent": null }, "node_776": { "node_id": "node_776", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 218.00 kg\n Factor of Safety: 1.32\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.99736651910723, "fos_buckling": 1.323537297656158, "fos_yielding": 4.135954968703768, "deflection": 0.0014972235177346596, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.253)" }, "parent_node_id": "node_775", "improvement_over_parent": null }, "node_777": { "node_id": "node_777", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 223.17 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.1717093958359, "fos_buckling": 1.5675157932071453, "fos_yielding": 4.149691530950809, "deflection": 0.0014510068300842302, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_776", "improvement_over_parent": null }, "node_778": { "node_id": "node_778", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_777", "improvement_over_parent": null }, "node_779": { "node_id": "node_779", "content": "INITIAL DESIGN (Trace 112)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n\nPerformance:\n Mass: 107.65 kg\n Factor of Safety: 0.16\n Max Deflection: 1.55e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 107.65203169120322, "fos_buckling": 0.15670615361406148, "fos_yielding": 1.412729266250502, "deflection": 15538852777085.082, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_780": { "node_id": "node_780", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 135.10 kg\n Factor of Safety: 0.94\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": 135.09779521875635, "fos_buckling": 0.9437676264842869, "fos_yielding": 2.6664728682814527, "deflection": 0.0023125205190622756, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.003551)" }, "parent_node_id": "node_779", "improvement_over_parent": null }, "node_781": { "node_id": "node_781", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 162.59 kg\n Factor of Safety: 1.10\n Max Deflection: 1.93e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.59445599749495, "fos_buckling": 1.0989787562066833, "fos_yielding": 3.2073712157730947, "deflection": 0.0019251872281129533, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.218)" }, "parent_node_id": "node_780", "improvement_over_parent": null }, "node_782": { "node_id": "node_782", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 209.87 kg\n Factor of Safety: 1.34\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.86696401218535, "fos_buckling": 1.3389626812218447, "fos_yielding": 4.135840822965928, "deflection": 0.001496530929540856, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_781", "improvement_over_parent": null }, "node_783": { "node_id": "node_783", "content": "MODIFICATION: Increase 3 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 210.59 kg\n Factor of Safety: 1.34\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.59151356970088, "fos_buckling": 1.3386556093998878, "fos_yielding": 4.135828177137658, "deflection": 0.0014966402176221287, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.179)" }, "parent_node_id": "node_782", "improvement_over_parent": null }, "node_784": { "node_id": "node_784", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.14 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.13987118979713, "fos_buckling": 1.5674564632127863, "fos_yielding": 4.14892325240279, "deflection": 0.0014512215436206924, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_783", "improvement_over_parent": null }, "node_785": { "node_id": "node_785", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_784", "improvement_over_parent": null }, "node_786": { "node_id": "node_786", "content": "INITIAL DESIGN (Trace 113)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 144.70 kg\n Factor of Safety: 1.09\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": 144.6978695941759, "fos_buckling": 1.0859892654958025, "fos_yielding": 2.6943368010862323, "deflection": 0.002226862305479681, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_787": { "node_id": "node_787", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0043)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 171.46 kg\n Factor of Safety: 1.26\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.45627352089323, "fos_buckling": 1.2585823630050386, "fos_yielding": 3.191063241140719, "deflection": 0.0018825063945815583, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.198)" }, "parent_node_id": "node_786", "improvement_over_parent": null }, "node_788": { "node_id": "node_788", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 192.69 kg\n Factor of Safety: 1.39\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.6920969749301, "fos_buckling": 1.3893567416692756, "fos_yielding": 3.584933953241282, "deflection": 0.0016772887602280254, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.134)" }, "parent_node_id": "node_787", "improvement_over_parent": null }, "node_789": { "node_id": "node_789", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.39 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.38655864682775, "fos_buckling": 1.5687331788690642, "fos_yielding": 4.153710619553099, "deflection": 0.0014496207905605584, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.175)" }, "parent_node_id": "node_788", "improvement_over_parent": null }, "node_790": { "node_id": "node_790", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_789", "improvement_over_parent": null }, "node_791": { "node_id": "node_791", "content": "INITIAL DESIGN (Trace 114)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 124.82 kg\n Factor of Safety: 0.94\n Max Deflection: 2.13e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.82366036995072, "fos_buckling": 0.9426467934216078, "fos_yielding": 1.08126794842885, "deflection": 21313799841375.453, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_792": { "node_id": "node_792", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 152.33 kg\n Factor of Safety: 0.11\n Max Deflection: 1.90e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.3280847567117, "fos_buckling": 0.11374773656523147, "fos_yielding": 1.6223803705732112, "deflection": 18966802207637.44, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.239)" }, "parent_node_id": "node_791", "improvement_over_parent": null }, "node_793": { "node_id": "node_793", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 171.04 kg\n Factor of Safety: 0.07\n Max Deflection: 1.18e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.04282522928608, "fos_buckling": 0.07361894050957213, "fos_yielding": 1.08126794842885, "deflection": 11768587757422.248, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.135)" }, "parent_node_id": "node_792", "improvement_over_parent": null }, "node_794": { "node_id": "node_794", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 214.65 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 214.65387947204678, "fos_buckling": 1.5232700667694936, "fos_yielding": 4.196585955017723, "deflection": 0.0014701000708152384, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_793", "improvement_over_parent": null }, "node_795": { "node_id": "node_795", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.27 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.26698408680744, "fos_buckling": 1.5680492274943298, "fos_yielding": 4.151473269878522, "deflection": 0.001450384146894948, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_794", "improvement_over_parent": null }, "node_796": { "node_id": "node_796", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_795", "improvement_over_parent": null }, "node_797": { "node_id": "node_797", "content": "INITIAL DESIGN (Trace 115)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n\nPerformance:\n Mass: 90.35 kg\n Factor of Safety: 0.03\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": 90.35037668592743, "fos_buckling": 0.03448065938456437, "fos_yielding": 0.7761802083174184, "deflection": 0.011622716855246993, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_798": { "node_id": "node_798", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 110.73 kg\n Factor of Safety: 0.04\n Max Deflection: 9.50e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 110.72665844395675, "fos_buckling": 0.041361333586793295, "fos_yielding": 0.9496175553311412, "deflection": 0.00949724259721394, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.238)" }, "parent_node_id": "node_797", "improvement_over_parent": null }, "node_799": { "node_id": "node_799", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 134.74 kg\n Factor of Safety: 0.05\n Max Deflection: 7.82e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.73949843718788, "fos_buckling": 0.04905159563249624, "fos_yielding": 1.1532365681434138, "deflection": 0.007817754361637676, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.232)" }, "parent_node_id": "node_798", "improvement_over_parent": null }, "node_800": { "node_id": "node_800", "content": "MODIFICATION: Increase 0 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 136.28 kg\n Factor of Safety: 0.05\n Max Deflection: 7.82e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.27671811982466, "fos_buckling": 0.049043583079584376, "fos_yielding": 1.153048187543293, "deflection": 0.007818569950412527, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.183)" }, "parent_node_id": "node_799", "improvement_over_parent": null }, "node_801": { "node_id": "node_801", "content": "MODIFICATION: Increase 0 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 139.87 kg\n Factor of Safety: 0.05\n Max Deflection: 7.82e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.87491317520528, "fos_buckling": 0.049024838197798425, "fos_yielding": 1.1526074825496564, "deflection": 0.00782047901229226, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.372)" }, "parent_node_id": "node_800", "improvement_over_parent": null }, "node_802": { "node_id": "node_802", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 157.82 kg\n Factor of Safety: 0.05\n Max Deflection: 6.94e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.8157189223415, "fos_buckling": 0.05428568874182322, "fos_yielding": 1.2987860884731899, "deflection": 0.00693844147286438, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.139)" }, "parent_node_id": "node_801", "improvement_over_parent": null }, "node_803": { "node_id": "node_803", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n\nPerformance:\n Mass: 196.10 kg\n Factor of Safety: 1.41\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.10258162767062, "fos_buckling": 1.4100193608409948, "fos_yielding": 3.6486638152093707, "deflection": 0.0016486319447690675, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005007)" }, "parent_node_id": "node_802", "improvement_over_parent": null }, "node_804": { "node_id": "node_804", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.23 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.23286492123086, "fos_buckling": 1.5680433390314812, "fos_yielding": 4.151427073084126, "deflection": 0.0014507427063255806, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.152)" }, "parent_node_id": "node_803", "improvement_over_parent": null }, "node_805": { "node_id": "node_805", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_804", "improvement_over_parent": null }, "node_806": { "node_id": "node_806", "content": "INITIAL DESIGN (Trace 116)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 180.93 kg\n Factor of Safety: 1.01\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.93450849478396, "fos_buckling": 1.008596886186236, "fos_yielding": 3.8117031266302672, "deflection": 0.0019198068749926515, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_807": { "node_id": "node_807", "content": "MODIFICATION: Increase 8 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 183.48 kg\n Factor of Safety: 1.01\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.48132357058392, "fos_buckling": 1.0110347342076353, "fos_yielding": 3.8140625020868435, "deflection": 0.0019191961228732762, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.316)" }, "parent_node_id": "node_806", "improvement_over_parent": null }, "node_808": { "node_id": "node_808", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n\nPerformance:\n Mass: 203.78 kg\n Factor of Safety: 1.11\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.78499912379584, "fos_buckling": 1.1115746516747678, "fos_yielding": 4.2317970574714625, "deflection": 0.0017280839862604638, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.121)" }, "parent_node_id": "node_807", "improvement_over_parent": null }, "node_809": { "node_id": "node_809", "content": "MODIFICATION: Increase 9 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 217.01 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.01176818827403, "fos_buckling": 1.484551626080288, "fos_yielding": 4.199670923230943, "deflection": 0.001521030220383341, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.493)" }, "parent_node_id": "node_808", "improvement_over_parent": null }, "node_810": { "node_id": "node_810", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.17 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.16558292657186, "fos_buckling": 1.5680086256450974, "fos_yielding": 4.149095135357048, "deflection": 0.0014509681062129134, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_809", "improvement_over_parent": null }, "node_811": { "node_id": "node_811", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 117)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0031)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n\nPerformance:\n Mass: 124.06 kg\n Factor of Safety: 0.95\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": 124.05701230925125, "fos_buckling": 0.9468799195853757, "fos_yielding": 2.3108478873114118, "deflection": 0.0025939815327288493, "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: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 137.23 kg\n Factor of Safety: 1.04\n Max Deflection: 2.35e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.23318523269145, "fos_buckling": 1.036282841286851, "fos_yielding": 2.5556822275722335, "deflection": 0.0023468821396244867, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.112)" }, "parent_node_id": "node_812", "improvement_over_parent": null }, "node_814": { "node_id": "node_814", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n\nPerformance:\n Mass: 154.54 kg\n Factor of Safety: 1.15\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": 154.53886061344332, "fos_buckling": 1.1504789543759435, "fos_yielding": 2.877074107722725, "deflection": 0.002086354048363753, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.134)" }, "parent_node_id": "node_813", "improvement_over_parent": null }, "node_815": { "node_id": "node_815", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 176.99 kg\n Factor of Safety: 1.29\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.993255188955, "fos_buckling": 1.2932077225136016, "fos_yielding": 3.293789027292158, "deflection": 0.0018242523823371252, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.156)" }, "parent_node_id": "node_814", "improvement_over_parent": null }, "node_816": { "node_id": "node_816", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 222.95 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 222.9485745858883, "fos_buckling": 1.566253569482958, "fos_yielding": 4.1455990406760215, "deflection": 0.001452428546938721, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.285)" }, "parent_node_id": "node_815", "improvement_over_parent": null }, "node_817": { "node_id": "node_817", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_816", "improvement_over_parent": null }, "node_818": { "node_id": "node_818", "content": "INITIAL DESIGN (Trace 118)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 161.30 kg\n Factor of Safety: 0.06\n Max Deflection: 6.11e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.29866688960854, "fos_buckling": 0.06045505675718786, "fos_yielding": 1.47807683217389, "deflection": 0.00611041375193582, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_819": { "node_id": "node_819", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 173.85 kg\n Factor of Safety: 0.06\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.8470245097048, "fos_buckling": 0.060374702674329844, "fos_yielding": 1.476112240382668, "deflection": 0.006100660951571278, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_818", "improvement_over_parent": null }, "node_820": { "node_id": "node_820", "content": "MODIFICATION: Increase 6 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 179.66 kg\n Factor of Safety: 0.06\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.6573446297328, "fos_buckling": 0.060374702674329844, "fos_yielding": 1.476112240382668, "deflection": 0.006102958029155238, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.259)" }, "parent_node_id": "node_819", "improvement_over_parent": null }, "node_821": { "node_id": "node_821", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n\nPerformance:\n Mass: 214.25 kg\n Factor of Safety: 1.08\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.24562493388507, "fos_buckling": 1.0784382301847155, "fos_yielding": 4.124939254900779, "deflection": 0.001553719939213945, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004487)" }, "parent_node_id": "node_820", "improvement_over_parent": null }, "node_822": { "node_id": "node_822", "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0033)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n\nPerformance:\n Mass: 216.43 kg\n Factor of Safety: 0.98\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.42824454680937, "fos_buckling": 0.9824060966257735, "fos_yielding": 4.117734740369887, "deflection": 0.0015500270731875533, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.287)" }, "parent_node_id": "node_821", "improvement_over_parent": null }, "node_823": { "node_id": "node_823", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_822", "improvement_over_parent": null }, "node_824": { "node_id": "node_824", "content": "INITIAL DESIGN (Trace 119)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 172.77 kg\n Factor of Safety: 1.30\n Max Deflection: 2.21e+11 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.77001179120055, "fos_buckling": 1.302480665921672, "fos_yielding": 3.62410224943789, "deflection": 220895232513.9187, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_825": { "node_id": "node_825", "content": "MODIFICATION: Increase 2 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 174.00 kg\n Factor of Safety: 1.30\n Max Deflection: 2.21e+11 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.99651623013014, "fos_buckling": 1.3023107134560312, "fos_yielding": 3.62410224943789, "deflection": 220895232513.9187, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.408)" }, "parent_node_id": "node_824", "improvement_over_parent": null }, "node_826": { "node_id": "node_826", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n\nPerformance:\n Mass: 177.07 kg\n Factor of Safety: 1.30\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.07475097003217, "fos_buckling": 1.2966204898876883, "fos_yielding": 3.623395270930935, "deflection": 0.0017544087281602316, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001683)" }, "parent_node_id": "node_825", "improvement_over_parent": null }, "node_827": { "node_id": "node_827", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 204.64 kg\n Factor of Safety: 1.46\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.63663608683316, "fos_buckling": 1.4599953335158622, "fos_yielding": 4.184118043353527, "deflection": 0.0015201899605247733, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.171)" }, "parent_node_id": "node_826", "improvement_over_parent": null }, "node_828": { "node_id": "node_828", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 210.79 kg\n Factor of Safety: 1.34\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.790450825131, "fos_buckling": 1.3398708978122986, "fos_yielding": 4.1398922188866925, "deflection": 0.0014952429838810501, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_827", "improvement_over_parent": null }, "node_829": { "node_id": "node_829", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.34 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.33880844522724, "fos_buckling": 1.5684724103971566, "fos_yielding": 4.152999446660994, "deflection": 0.0014498834543392053, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_828", "improvement_over_parent": null }, "node_830": { "node_id": "node_830", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_829", "improvement_over_parent": null }, "node_831": { "node_id": "node_831", "content": "INITIAL DESIGN (Trace 120)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 146.87 kg\n Factor of Safety: 0.05\n Max Deflection: 7.33e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.87496977653677, "fos_buckling": 0.051851148700234426, "fos_yielding": 1.2303306114958739, "deflection": 0.007326110795773849, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_832": { "node_id": "node_832", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 176.61 kg\n Factor of Safety: 0.06\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.6131980829474, "fos_buckling": 0.06037279019557208, "fos_yielding": 1.4759516406225428, "deflection": 0.006104317367160436, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.222)" }, "parent_node_id": "node_831", "improvement_over_parent": null }, "node_833": { "node_id": "node_833", "content": "MODIFICATION: Increase 0 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 179.57 kg\n Factor of Safety: 0.06\n Max Deflection: 6.11e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.5714306861655, "fos_buckling": 0.06035387266544422, "fos_yielding": 1.4754891581111613, "deflection": 0.006105539977572923, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.217)" }, "parent_node_id": "node_832", "improvement_over_parent": null }, "node_834": { "node_id": "node_834", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n\nPerformance:\n Mass: 213.99 kg\n Factor of Safety: 1.07\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.99463349949625, "fos_buckling": 1.069421032937869, "fos_yielding": 4.1226304627514105, "deflection": 0.0015565502200962824, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004464)" }, "parent_node_id": "node_833", "improvement_over_parent": null }, "node_835": { "node_id": "node_835", "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n\nPerformance:\n Mass: 216.21 kg\n Factor of Safety: 0.97\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.21333691205834, "fos_buckling": 0.97295971997292, "fos_yielding": 4.115273136874007, "deflection": 0.001552757115467799, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.292)" }, "parent_node_id": "node_834", "improvement_over_parent": null }, "node_836": { "node_id": "node_836", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_835", "improvement_over_parent": null }, "node_837": { "node_id": "node_837", "content": "INITIAL DESIGN (Trace 121)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n\nPerformance:\n Mass: 121.52 kg\n Factor of Safety: 0.93\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": 121.52452507045876, "fos_buckling": 0.9294526885293952, "fos_yielding": 2.2637770076816213, "deflection": 0.002647613641032049, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_838": { "node_id": "node_838", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 141.09 kg\n Factor of Safety: 1.06\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": 141.08522723939933, "fos_buckling": 1.062018193921589, "fos_yielding": 2.627237529134654, "deflection": 0.0022833617456429474, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.170)" }, "parent_node_id": "node_837", "improvement_over_parent": null }, "node_839": { "node_id": "node_839", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 159.50 kg\n Factor of Safety: 1.18\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": 159.49916101329336, "fos_buckling": 1.1825368003158387, "fos_yielding": 2.9691575304453965, "deflection": 0.0020221038128650174, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.139)" }, "parent_node_id": "node_838", "improvement_over_parent": null }, "node_840": { "node_id": "node_840", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 181.00 kg\n Factor of Safety: 1.32\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.9981999704314, "fos_buckling": 1.3180204414663477, "fos_yielding": 3.36807877341711, "deflection": 0.0017843380917955394, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.145)" }, "parent_node_id": "node_839", "improvement_over_parent": null }, "node_841": { "node_id": "node_841", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 200.82 kg\n Factor of Safety: 1.44\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.824766179334, "fos_buckling": 1.4379919174570321, "fos_yielding": 3.7356952373153076, "deflection": 0.0016101899547044866, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.119)" }, "parent_node_id": "node_840", "improvement_over_parent": null }, "node_842": { "node_id": "node_842", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.48 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.48299724448123, "fos_buckling": 1.5692788474436095, "fos_yielding": 4.155496670456928, "deflection": 0.0014490040362183714, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.124)" }, "parent_node_id": "node_841", "improvement_over_parent": null }, "node_843": { "node_id": "node_843", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_842", "improvement_over_parent": null }, "node_844": { "node_id": "node_844", "content": "INITIAL DESIGN (Trace 122)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0029)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0027)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n\nPerformance:\n Mass: 104.64 kg\n Factor of Safety: 0.79\n Max Deflection: 3.09e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 104.63999764849468, "fos_buckling": 0.791146261126426, "fos_yielding": 2.0585174119348544, "deflection": 0.0030868509728801006, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_845": { "node_id": "node_845", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0029)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0027)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0007)]\n\nPerformance:\n Mass: 106.06 kg\n Factor of Safety: 0.80\n Max Deflection: 3.09e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 106.06453683130145, "fos_buckling": 0.7978877462589321, "fos_yielding": 2.0636016282146636, "deflection": 0.0030870265250028243, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.000747)" }, "parent_node_id": "node_844", "improvement_over_parent": null }, "node_846": { "node_id": "node_846", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0034)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0032)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n\nPerformance:\n Mass: 126.25 kg\n Factor of Safety: 0.93\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": 126.24853257464193, "fos_buckling": 0.9342878240132996, "fos_yielding": 2.455229820548245, "deflection": 0.0025959769062759972, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.200)" }, "parent_node_id": "node_845", "improvement_over_parent": null }, "node_847": { "node_id": "node_847", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n\nPerformance:\n Mass: 155.65 kg\n Factor of Safety: 1.12\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": 155.64745507551214, "fos_buckling": 1.1241886796247778, "fos_yielding": 3.025037656037329, "deflection": 0.002108588728077394, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.248)" }, "parent_node_id": "node_846", "improvement_over_parent": null }, "node_848": { "node_id": "node_848", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n\nPerformance:\n Mass: 193.11 kg\n Factor of Safety: 1.35\n Max Deflection: 1.70e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.10687535704855, "fos_buckling": 1.3511404070294417, "fos_yielding": 3.7500104451049374, "deflection": 0.001702586826418713, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.261)" }, "parent_node_id": "node_847", "improvement_over_parent": null }, "node_849": { "node_id": "node_849", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n\nPerformance:\n Mass: 216.14 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.1385924958305, "fos_buckling": 1.4823595962269578, "fos_yielding": 4.195162222981363, "deflection": 0.0015228253477024359, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.131)" }, "parent_node_id": "node_848", "improvement_over_parent": null }, "node_850": { "node_id": "node_850", "content": "MODIFICATION: Increase 2 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0029)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n\nPerformance:\n Mass: 217.20 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.20310746458162, "fos_buckling": 1.4827121736963973, "fos_yielding": 4.195599481680684, "deflection": 0.0015229916689851167, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.232)" }, "parent_node_id": "node_849", "improvement_over_parent": null }, "node_851": { "node_id": "node_851", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0029)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.36 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.35692220287945, "fos_buckling": 1.5701873619425433, "fos_yielding": 4.147569488543373, "deflection": 0.0014519448132682224, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_850", "improvement_over_parent": null }, "node_852": { "node_id": "node_852", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_851", "improvement_over_parent": null }, "node_853": { "node_id": "node_853", "content": "INITIAL DESIGN (Trace 123)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 208.30 kg\n Factor of Safety: 1.46\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.29902575365955, "fos_buckling": 1.4593178288474629, "fos_yielding": 4.181777193833649, "deflection": 0.0016606248511132884, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_854": { "node_id": "node_854", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 214.45 kg\n Factor of Safety: 1.01\n Max Deflection: 1.57e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.45284049195737, "fos_buckling": 1.0128258135774753, "fos_yielding": 4.120533710748442, "deflection": 0.0015721410943593502, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_853", "improvement_over_parent": null }, "node_855": { "node_id": "node_855", "content": "MODIFICATION: Increase 0 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 220.48 kg\n Factor of Safety: 1.56\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 220.47909427030785, "fos_buckling": 1.5565100156652507, "fos_yielding": 4.150096677613414, "deflection": 0.0014548612279375271, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.555)" }, "parent_node_id": "node_854", "improvement_over_parent": null }, "node_856": { "node_id": "node_856", "content": "MODIFICATION: Increase 9 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0075)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 232.20 kg\n Factor of Safety: 1.55\n Max Deflection: 1.37e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 232.19880397614492, "fos_buckling": 1.5532555448971177, "fos_yielding": 4.145855930234943, "deflection": 0.0013694374646336582, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.312)" }, "parent_node_id": "node_855", "improvement_over_parent": null }, "node_857": { "node_id": "node_857", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_856", "improvement_over_parent": null }, "node_858": { "node_id": "node_858", "content": "INITIAL DESIGN (Trace 124)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0020)]\n\nPerformance:\n Mass: 79.96 kg\n Factor of Safety: 0.07\n Max Deflection: 2.70e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 79.96123072246044, "fos_buckling": 0.06751197694042936, "fos_yielding": 1.0812679484288499, "deflection": 26984724174521.344, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_859": { "node_id": "node_859", "content": "MODIFICATION: Increase 0 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0020)]\n\nPerformance:\n Mass: 81.97 kg\n Factor of Safety: 0.06\n Max Deflection: 1.83e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 81.96655244389912, "fos_buckling": 0.06360447278103668, "fos_yielding": 1.0812679484288499, "deflection": 18289076377874.62, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.305)" }, "parent_node_id": "node_858", "improvement_over_parent": null }, "node_860": { "node_id": "node_860", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0020)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0027)]\n\nPerformance:\n Mass: 103.51 kg\n Factor of Safety: 0.65\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": 103.50582068751154, "fos_buckling": 0.6481255834080437, "fos_yielding": 2.075089154927868, "deflection": 0.0031794840077267526, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.002720)" }, "parent_node_id": "node_859", "improvement_over_parent": null }, "node_861": { "node_id": "node_861", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0020)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0027)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n\nPerformance:\n Mass: 105.26 kg\n Factor of Safety: 0.68\n Max Deflection: 3.15e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 105.2615325158916, "fos_buckling": 0.6817452688561689, "fos_yielding": 2.057749684718333, "deflection": 0.0031476376663701153, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.000928)" }, "parent_node_id": "node_860", "improvement_over_parent": null }, "node_862": { "node_id": "node_862", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0026)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n\nPerformance:\n Mass: 134.44 kg\n Factor of Safety: 0.85\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": 134.43719665864077, "fos_buckling": 0.8484280308684515, "fos_yielding": 2.625413151331175, "deflection": 0.00246785998499179, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.292)" }, "parent_node_id": "node_861", "improvement_over_parent": null }, "node_863": { "node_id": "node_863", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n\nPerformance:\n Mass: 166.14 kg\n Factor of Safety: 1.02\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": 166.1366327843137, "fos_buckling": 1.0189764672148638, "fos_yielding": 3.2407754395538526, "deflection": 0.001999863981009291, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.252)" }, "parent_node_id": "node_862", "improvement_over_parent": null }, "node_864": { "node_id": "node_864", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 213.54 kg\n Factor of Safety: 1.25\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.54030953225535, "fos_buckling": 1.2540296794098764, "fos_yielding": 4.1581325112129255, "deflection": 0.001559193678216602, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.312)" }, "parent_node_id": "node_863", "improvement_over_parent": null }, "node_865": { "node_id": "node_865", "content": "MODIFICATION: Increase 10 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0026)]\n\nPerformance:\n Mass: 214.56 kg\n Factor of Safety: 1.26\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.55957515096296, "fos_buckling": 1.2580378165414439, "fos_yielding": 4.1556266750499145, "deflection": 0.0015583039307198805, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.326)" }, "parent_node_id": "node_864", "improvement_over_parent": null }, "node_866": { "node_id": "node_866", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_865", "improvement_over_parent": null }, "node_867": { "node_id": "node_867", "content": "INITIAL DESIGN (Trace 125)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 164.75 kg\n Factor of Safety: 1.11\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.75446047264035, "fos_buckling": 1.1116344596219931, "fos_yielding": 3.317807599018838, "deflection": 0.001963038986071317, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_868": { "node_id": "node_868", "content": "MODIFICATION: Increase 9 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 170.49 kg\n Factor of Safety: 1.25\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.4889843035091, "fos_buckling": 1.2536926385687708, "fos_yielding": 3.317807599018837, "deflection": 0.0018655528572690367, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.220)" }, "parent_node_id": "node_867", "improvement_over_parent": null }, "node_869": { "node_id": "node_869", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n\nPerformance:\n Mass: 173.30 kg\n Factor of Safety: 1.28\n Max Deflection: 1.84e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.29831287198573, "fos_buckling": 1.2752469207674673, "fos_yielding": 3.282510564048613, "deflection": 0.0018382374060677109, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001525)" }, "parent_node_id": "node_868", "improvement_over_parent": null }, "node_870": { "node_id": "node_870", "content": "MODIFICATION: Increase 9 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0066)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n\nPerformance:\n Mass: 188.47 kg\n Factor of Safety: 1.24\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.46569589104658, "fos_buckling": 1.2393444246760386, "fos_yielding": 3.2779344145608493, "deflection": 0.0016793048641350666, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.502)" }, "parent_node_id": "node_869", "improvement_over_parent": null }, "node_871": { "node_id": "node_871", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0086)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 237.62 kg\n Factor of Safety: 1.49\n Max Deflection: 1.34e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 237.6159748404083, "fos_buckling": 1.486664879138147, "fos_yielding": 4.1405940524883516, "deflection": 0.0013360046765417191, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.290)" }, "parent_node_id": "node_870", "improvement_over_parent": null }, "node_872": { "node_id": "node_872", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_871", "improvement_over_parent": null }, "node_873": { "node_id": "node_873", "content": "INITIAL DESIGN (Trace 126)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0018)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 105.24 kg\n Factor of Safety: 0.04\n Max Deflection: 9.21e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 105.24056363340395, "fos_buckling": 0.042561090698519245, "fos_yielding": 0.9806793922260513, "deflection": 0.009213814649363604, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_874": { "node_id": "node_874", "content": "MODIFICATION: Increase 5 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0024)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 108.75 kg\n Factor of Safety: 0.04\n Max Deflection: 9.21e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 108.74679697690614, "fos_buckling": 0.042561090698519266, "fos_yielding": 0.9806793922260519, "deflection": 0.009213814649363602, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.364)" }, "parent_node_id": "node_873", "improvement_over_parent": null }, "node_875": { "node_id": "node_875", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0024)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n\nPerformance:\n Mass: 111.15 kg\n Factor of Safety: 0.04\n Max Deflection: 9.19e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 111.14725832289518, "fos_buckling": 0.042550220882700426, "fos_yielding": 0.9804289333163793, "deflection": 0.009191861956783037, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001049)" }, "parent_node_id": "node_874", "improvement_over_parent": null }, "node_876": { "node_id": "node_876", "content": "MODIFICATION: Increase 3 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0057)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0024)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n\nPerformance:\n Mass: 120.74 kg\n Factor of Safety: 0.04\n Max Deflection: 8.90e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.74177765817967, "fos_buckling": 0.04255022088270045, "fos_yielding": 0.9804289333163798, "deflection": 0.008897193646638216, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.451)" }, "parent_node_id": "node_875", "improvement_over_parent": null }, "node_877": { "node_id": "node_877", "content": "MODIFICATION: Increase 6 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0057)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0024)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n\nPerformance:\n Mass: 123.45 kg\n Factor of Safety: 0.04\n Max Deflection: 7.73e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.4495236734034, "fos_buckling": 0.042537966276287496, "fos_yielding": 0.9801465664932607, "deflection": 0.007729607156187478, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.520)" }, "parent_node_id": "node_876", "improvement_over_parent": null }, "node_878": { "node_id": "node_878", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0070)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n\nPerformance:\n Mass: 148.96 kg\n Factor of Safety: 0.05\n Max Deflection: 6.42e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.95921638098702, "fos_buckling": 0.050114239606203675, "fos_yielding": 1.1824280907132538, "deflection": 0.006423303428802487, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.224)" }, "parent_node_id": "node_877", "improvement_over_parent": null }, "node_879": { "node_id": "node_879", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0070)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n\nPerformance:\n Mass: 183.79 kg\n Factor of Safety: 0.62\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.79129363419054, "fos_buckling": 0.6166603494981098, "fos_yielding": 2.647963087397487, "deflection": 0.0018217957251193562, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004521)" }, "parent_node_id": "node_878", "improvement_over_parent": null }, "node_880": { "node_id": "node_880", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0089)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 229.70 kg\n Factor of Safety: 0.75\n Max Deflection: 1.46e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 229.69886430297822, "fos_buckling": 0.7492964800373132, "fos_yielding": 3.3345229298086956, "deflection": 0.001458968928470715, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.277)" }, "parent_node_id": "node_879", "improvement_over_parent": null }, "node_881": { "node_id": "node_881", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_880", "improvement_over_parent": null }, "node_882": { "node_id": "node_882", "content": "INITIAL DESIGN (Trace 127)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 138.12 kg\n Factor of Safety: 0.23\n Max Deflection: 8.92e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.12303794224744, "fos_buckling": 0.22660179513975098, "fos_yielding": 3.721265853831585, "deflection": 8920373498760.484, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_883": { "node_id": "node_883", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 145.76 kg\n Factor of Safety: 0.04\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.7564871534464, "fos_buckling": 0.03996017140573384, "fos_yielding": 0.9138713238048888, "deflection": 0.012155914843492785, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002248)" }, "parent_node_id": "node_882", "improvement_over_parent": null }, "node_884": { "node_id": "node_884", "content": "MODIFICATION: Increase 0 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 151.69 kg\n Factor of Safety: 0.04\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.69288231977495, "fos_buckling": 0.03993497332461576, "fos_yielding": 0.9132950549116723, "deflection": 0.012156953025357551, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.645)" }, "parent_node_id": "node_883", "improvement_over_parent": null }, "node_885": { "node_id": "node_885", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 171.04 kg\n Factor of Safety: 0.04\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.04336439532239, "fos_buckling": 0.044517504973129465, "fos_yielding": 1.0322402751699111, "deflection": 0.010778750679221903, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.140)" }, "parent_node_id": "node_884", "improvement_over_parent": null }, "node_886": { "node_id": "node_886", "content": "MODIFICATION: Increase 2 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 172.11 kg\n Factor of Safety: 0.06\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.11378484874515, "fos_buckling": 0.06042792011365887, "fos_yielding": 1.477229519698896, "deflection": 0.01017538863659607, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.473)" }, "parent_node_id": "node_885", "improvement_over_parent": null }, "node_887": { "node_id": "node_887", "content": "MODIFICATION: Increase 3 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 173.39 kg\n Factor of Safety: 0.06\n Max Deflection: 9.86e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.39374850641295, "fos_buckling": 0.06041971672712346, "fos_yielding": 1.4770289785462494, "deflection": 0.009863590614718032, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.361)" }, "parent_node_id": "node_886", "improvement_over_parent": null }, "node_888": { "node_id": "node_888", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 179.55 kg\n Factor of Safety: 0.06\n Max Deflection: 6.11e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.54756324471077, "fos_buckling": 0.060340949701723115, "fos_yielding": 1.4751034286533953, "deflection": 0.006106521607302848, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_887", "improvement_over_parent": null }, "node_889": { "node_id": "node_889", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.16 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.15861748747147, "fos_buckling": 1.56730432104048, "fos_yielding": 4.148996752146212, "deflection": 0.0014510018673249768, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_888", "improvement_over_parent": null }, "node_890": { "node_id": "node_890", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 128)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0028)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n\nPerformance:\n Mass: 140.78 kg\n Factor of Safety: 0.83\n Max Deflection: 2.17e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.78180893104656, "fos_buckling": 0.825878619477779, "fos_yielding": 1.9833157146370801, "deflection": 0.002171539995795956, "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: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 168.23 kg\n Factor of Safety: 0.97\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.2337894815421, "fos_buckling": 0.9747712791389748, "fos_yielding": 2.377685619352351, "deflection": 0.001811362008320589, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.209)" }, "parent_node_id": "node_891", "improvement_over_parent": null }, "node_893": { "node_id": "node_893", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n\nPerformance:\n Mass: 171.12 kg\n Factor of Safety: 0.98\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.11842129766987, "fos_buckling": 0.9764654543773671, "fos_yielding": 2.3818180924639374, "deflection": 0.0018120734695936816, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001569)" }, "parent_node_id": "node_892", "improvement_over_parent": null }, "node_894": { "node_id": "node_894", "content": "MODIFICATION: Increase 8 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0032)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n\nPerformance:\n Mass: 173.76 kg\n Factor of Safety: 0.98\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.75556506413255, "fos_buckling": 0.9767134499825929, "fos_yielding": 2.382423009326823, "deflection": 0.0018077601592011155, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.285)" }, "parent_node_id": "node_893", "improvement_over_parent": null }, "node_895": { "node_id": "node_895", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 214.35 kg\n Factor of Safety: 1.18\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.35254980710866, "fos_buckling": 1.183251548879853, "fos_yielding": 2.9535369391745907, "deflection": 0.0014688147269960221, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.256)" }, "parent_node_id": "node_894", "improvement_over_parent": null }, "node_896": { "node_id": "node_896", "content": "MODIFICATION: Increase 4 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 216.84 kg\n Factor of Safety: 1.18\n Max Deflection: 1.46e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.83928096286857, "fos_buckling": 1.1823689098202697, "fos_yielding": 2.9513337668492254, "deflection": 0.0014645401458091083, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.466)" }, "parent_node_id": "node_895", "improvement_over_parent": null }, "node_897": { "node_id": "node_897", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_896", "improvement_over_parent": null }, "node_898": { "node_id": "node_898", "content": "INITIAL DESIGN (Trace 129)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 169.66 kg\n Factor of Safety: 1.23\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.66255997031791, "fos_buckling": 1.2269091396778329, "fos_yielding": 3.350469972795159, "deflection": 0.001904064874126384, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_899": { "node_id": "node_899", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 190.94 kg\n Factor of Safety: 1.36\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.94042342619704, "fos_buckling": 1.3553514485779043, "fos_yielding": 3.768431505866503, "deflection": 0.0016938291175089566, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.136)" }, "parent_node_id": "node_898", "improvement_over_parent": null }, "node_900": { "node_id": "node_900", "content": "MODIFICATION: Increase 2 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 191.89 kg\n Factor of Safety: 1.36\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.88997523969576, "fos_buckling": 1.3557337586534588, "fos_yielding": 3.768632242561415, "deflection": 0.001693993007827895, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.460)" }, "parent_node_id": "node_899", "improvement_over_parent": null }, "node_901": { "node_id": "node_901", "content": "MODIFICATION: Increase 8 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 194.68 kg\n Factor of Safety: 1.36\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.67720977583053, "fos_buckling": 1.3572308512276545, "fos_yielding": 3.7695285071475753, "deflection": 0.001693972484697239, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.357)" }, "parent_node_id": "node_900", "improvement_over_parent": null }, "node_902": { "node_id": "node_902", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n\nPerformance:\n Mass: 200.20 kg\n Factor of Safety: 1.43\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.19831440439916, "fos_buckling": 1.4342502719089303, "fos_yielding": 3.723885668450031, "deflection": 0.0016152195018629655, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002279)" }, "parent_node_id": "node_901", "improvement_over_parent": null }, "node_903": { "node_id": "node_903", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.15 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.15447716268469, "fos_buckling": 1.567395484497083, "fos_yielding": 4.149194283964958, "deflection": 0.001451155969199175, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.126)" }, "parent_node_id": "node_902", "improvement_over_parent": null }, "node_904": { "node_id": "node_904", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_903", "improvement_over_parent": null }, "node_905": { "node_id": "node_905", "content": "INITIAL DESIGN (Trace 130)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 139.56 kg\n Factor of Safety: 1.05\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": 139.56443167410856, "fos_buckling": 1.0549362359944114, "fos_yielding": 2.7964538517645976, "deflection": 0.002453277448321634, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_906": { "node_id": "node_906", "content": "MODIFICATION: Increase 1 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 142.85 kg\n Factor of Safety: 1.05\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": 142.85192760331756, "fos_buckling": 1.0454635516505957, "fos_yielding": 2.785710721626044, "deflection": 0.00228913865959074, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.418)" }, "parent_node_id": "node_905", "improvement_over_parent": null }, "node_907": { "node_id": "node_907", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 184.01 kg\n Factor of Safety: 1.30\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.01042216926803, "fos_buckling": 1.300653342746431, "fos_yielding": 3.584983982761436, "deflection": 0.0017807214571764637, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.311)" }, "parent_node_id": "node_906", "improvement_over_parent": null }, "node_908": { "node_id": "node_908", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 215.86 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.8572064699299, "fos_buckling": 1.4841140110044808, "fos_yielding": 4.202381195934292, "deflection": 0.001520386570707157, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.190)" }, "parent_node_id": "node_907", "improvement_over_parent": null }, "node_909": { "node_id": "node_909", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 222.01 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 222.01102120822773, "fos_buckling": 1.569024665626424, "fos_yielding": 4.155051912033378, "deflection": 0.001451669191115671, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_908", "improvement_over_parent": null }, "node_910": { "node_id": "node_910", "content": "MODIFICATION: Increase 8 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0037)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 224.13 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 224.12649581866222, "fos_buckling": 1.5708859811846427, "fos_yielding": 4.155716374336529, "deflection": 0.0014490753605106035, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.189)" }, "parent_node_id": "node_909", "improvement_over_parent": null }, "node_911": { "node_id": "node_911", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_910", "improvement_over_parent": null }, "node_912": { "node_id": "node_912", "content": "INITIAL DESIGN (Trace 131)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, 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_913": { "node_id": "node_913", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n\nPerformance:\n Mass: 123.39 kg\n Factor of Safety: 0.27\n Max Deflection: 3.78e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.39175237611131, "fos_buckling": 0.26617692640954693, "fos_yielding": 2.93475418359483, "deflection": 3778912338184.409, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002470)" }, "parent_node_id": "node_912", "improvement_over_parent": null }, "node_914": { "node_id": "node_914", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 152.02 kg\n Factor of Safety: 0.06\n Max Deflection: 1.34e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.02415537384127, "fos_buckling": 0.06437102674975224, "fos_yielding": 1.08126794842885, "deflection": 13411550248355.57, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.253)" }, "parent_node_id": "node_913", "improvement_over_parent": null }, "node_915": { "node_id": "node_915", "content": "MODIFICATION: Increase 5 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 160.01 kg\n Factor of Safety: 0.06\n Max Deflection: 1.34e+13 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.01497443308298, "fos_buckling": 0.06437102674975224, "fos_yielding": 1.08126794842885, "deflection": 13411550248355.57, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.391)" }, "parent_node_id": "node_914", "improvement_over_parent": null }, "node_916": { "node_id": "node_916", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 202.67 kg\n Factor of Safety: 1.47\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.66694278445638, "fos_buckling": 1.4730473002380036, "fos_yielding": 4.195470059896711, "deflection": 0.0016531189220907333, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_915", "improvement_over_parent": null }, "node_917": { "node_id": "node_917", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 211.28 kg\n Factor of Safety: 1.46\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.28004739921704, "fos_buckling": 1.4609324820326826, "fos_yielding": 4.1817117327492275, "deflection": 0.0016521703073672494, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_916", "improvement_over_parent": null }, "node_918": { "node_id": "node_918", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 217.43 kg\n Factor of Safety: 1.05\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.43386213751486, "fos_buckling": 1.0544367070624665, "fos_yielding": 4.122435017136649, "deflection": 0.0015612855641943702, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_917", "improvement_over_parent": null }, "node_919": { "node_id": "node_919", "content": "MODIFICATION: Increase 0 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.20 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.20062039778242, "fos_buckling": 1.5679603541084914, "fos_yielding": 4.150320577602598, "deflection": 0.0014507778686449848, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.520)" }, "parent_node_id": "node_918", "improvement_over_parent": null }, "node_920": { "node_id": "node_920", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_919", "improvement_over_parent": null }, "node_921": { "node_id": "node_921", "content": "INITIAL DESIGN (Trace 132)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 138.45 kg\n Factor of Safety: 0.05\n Max Deflection: 8.11e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.45069448836185, "fos_buckling": 0.04998391322904078, "fos_yielding": 1.1786921713967526, "deflection": 0.008108559084048584, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_922": { "node_id": "node_922", "content": "MODIFICATION: Increase 5 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 139.79 kg\n Factor of Safety: 0.05\n Max Deflection: 7.77e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.78758141167842, "fos_buckling": 0.04996971539363557, "fos_yielding": 1.1783573661291817, "deflection": 0.007769516837537486, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.403)" }, "parent_node_id": "node_921", "improvement_over_parent": null }, "node_923": { "node_id": "node_923", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 175.76 kg\n Factor of Safety: 0.06\n Max Deflection: 6.19e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.76164923138197, "fos_buckling": 0.060418429312184885, "fos_yielding": 1.477281971380265, "deflection": 0.006192116295701187, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.282)" }, "parent_node_id": "node_922", "improvement_over_parent": null }, "node_924": { "node_id": "node_924", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 219.37 kg\n Factor of Safety: 1.43\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 219.37270347414267, "fos_buckling": 1.4323045188803314, "fos_yielding": 4.1564586158273515, "deflection": 0.0015138444808667014, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_923", "improvement_over_parent": null }, "node_925": { "node_id": "node_925", "content": "MODIFICATION: Increase 1 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.32 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.32392006416916, "fos_buckling": 1.5685042008060017, "fos_yielding": 4.152876042313217, "deflection": 0.0014500881122127087, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.319)" }, "parent_node_id": "node_924", "improvement_over_parent": null }, "node_926": { "node_id": "node_926", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_925", "improvement_over_parent": null }, "node_927": { "node_id": "node_927", "content": "INITIAL DESIGN (Trace 133)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n\nPerformance:\n Mass: 148.33 kg\n Factor of Safety: 0.69\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": 148.330379490807, "fos_buckling": 0.6851042118871652, "fos_yielding": 3.0802781083862394, "deflection": 6526990447430.34, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_928": { "node_id": "node_928", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n\nPerformance:\n Mass: 159.47 kg\n Factor of Safety: 0.12\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": 159.47271851088288, "fos_buckling": 0.11603567227014543, "fos_yielding": 1.9105713435484357, "deflection": 0.005600883017204266, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002719)" }, "parent_node_id": "node_927", "improvement_over_parent": null }, "node_929": { "node_id": "node_929", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 179.66 kg\n Factor of Safety: 0.13\n Max Deflection: 4.98e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.65643670608287, "fos_buckling": 0.1279367853051043, "fos_yielding": 2.149196638624785, "deflection": 0.004975437581020821, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.139)" }, "parent_node_id": "node_928", "improvement_over_parent": null }, "node_930": { "node_id": "node_930", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 222.31 kg\n Factor of Safety: 1.56\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 222.30840505745627, "fos_buckling": 1.5634667437264884, "fos_yielding": 4.1551537198642245, "deflection": 0.0014538476588259195, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_929", "improvement_over_parent": null }, "node_931": { "node_id": "node_931", "content": "MODIFICATION: Increase 5 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.30 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.30399949929176, "fos_buckling": 1.5681196958378372, "fos_yielding": 4.152373392303882, "deflection": 0.0014501673313914761, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.212)" }, "parent_node_id": "node_930", "improvement_over_parent": null }, "node_932": { "node_id": "node_932", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_931", "improvement_over_parent": null }, "node_933": { "node_id": "node_933", "content": "INITIAL DESIGN (Trace 134)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0032)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 169.26 kg\n Factor of Safety: 0.48\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.26220143195104, "fos_buckling": 0.48284539597492504, "fos_yielding": 3.572804080275114, "deflection": 0.0019511119157006418, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_934": { "node_id": "node_934", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 194.53 kg\n Factor of Safety: 0.55\n Max Deflection: 1.70e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.52561374896402, "fos_buckling": 0.5488008388025593, "fos_yielding": 4.101306168581552, "deflection": 0.0016990279166077293, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.163)" }, "parent_node_id": "node_933", "improvement_over_parent": null }, "node_935": { "node_id": "node_935", "content": "MODIFICATION: Increase 2 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 195.81 kg\n Factor of Safety: 0.71\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.80541095891692, "fos_buckling": 0.7091249983233574, "fos_yielding": 4.088832021477966, "deflection": 0.0016891305267279617, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.616)" }, "parent_node_id": "node_934", "improvement_over_parent": null }, "node_936": { "node_id": "node_936", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 208.35 kg\n Factor of Safety: 0.79\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.35376857901318, "fos_buckling": 0.7917283670506257, "fos_yielding": 4.099482451764354, "deflection": 0.001651474604263711, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_935", "improvement_over_parent": null }, "node_937": { "node_id": "node_937", "content": "MODIFICATION: Increase 7 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.21 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.21392972315252, "fos_buckling": 1.567738319957939, "fos_yielding": 4.150425325669472, "deflection": 0.001450761996410969, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.567)" }, "parent_node_id": "node_936", "improvement_over_parent": null }, "node_938": { "node_id": "node_938", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_937", "improvement_over_parent": null }, "node_939": { "node_id": "node_939", "content": "INITIAL DESIGN (Trace 135)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n\nPerformance:\n Mass: 124.53 kg\n Factor of Safety: 0.78\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": 124.53089903187546, "fos_buckling": 0.780284452421136, "fos_yielding": 1.8651821537115463, "deflection": 0.0025645812116339424, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_940": { "node_id": "node_940", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0043)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n\nPerformance:\n Mass: 144.20 kg\n Factor of Safety: 0.89\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": 144.20144077074997, "fos_buckling": 0.8947659995549088, "fos_yielding": 2.1641665530572953, "deflection": 0.0022178493619884566, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.168)" }, "parent_node_id": "node_939", "improvement_over_parent": null }, "node_941": { "node_id": "node_941", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 161.80 kg\n Factor of Safety: 1.00\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.80357104486222, "fos_buckling": 0.9951545807212101, "fos_yielding": 2.432895918391264, "deflection": 0.001979008577880591, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.131)" }, "parent_node_id": "node_940", "improvement_over_parent": null }, "node_942": { "node_id": "node_942", "content": "MODIFICATION: Increase 9 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 170.57 kg\n Factor of Safety: 1.00\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.57481006036676, "fos_buckling": 0.9951177021967731, "fos_yielding": 2.43280575992411, "deflection": 0.0018001238111348828, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.342)" }, "parent_node_id": "node_941", "improvement_over_parent": null }, "node_943": { "node_id": "node_943", "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 174.06 kg\n Factor of Safety: 1.14\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.05817557550313, "fos_buckling": 1.1394116581978406, "fos_yielding": 2.8327740792131935, "deflection": 0.0017661996582990149, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.182)" }, "parent_node_id": "node_942", "improvement_over_parent": null }, "node_944": { "node_id": "node_944", "content": "MODIFICATION: Increase 4 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 180.22 kg\n Factor of Safety: 1.19\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.2246633968009, "fos_buckling": 1.1903120542092613, "fos_yielding": 3.5404083262700805, "deflection": 0.0017451533652092176, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.280)" }, "parent_node_id": "node_943", "improvement_over_parent": null }, "node_945": { "node_id": "node_945", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 210.26 kg\n Factor of Safety: 1.34\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.2565994473378, "fos_buckling": 1.3386231018122934, "fos_yielding": 4.128031117056056, "deflection": 0.0014989953228174314, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.183)" }, "parent_node_id": "node_944", "improvement_over_parent": null }, "node_946": { "node_id": "node_946", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 222.80 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 222.80495706743406, "fos_buckling": 1.5651906258245667, "fos_yielding": 4.141119867335697, "deflection": 0.0014534334438529091, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_945", "improvement_over_parent": null }, "node_947": { "node_id": "node_947", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_946", "improvement_over_parent": null }, "node_948": { "node_id": "node_948", "content": "INITIAL DESIGN (Trace 136)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0024)]\n\nPerformance:\n Mass: 83.97 kg\n Factor of Safety: 0.03\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 83.96692128700023, "fos_buckling": 0.03457251992420929, "fos_yielding": 0.7783940551503825, "deflection": 0.011788363462212558, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_949": { "node_id": "node_949", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n\nPerformance:\n Mass: 100.63 kg\n Factor of Safety: 0.04\n Max Deflection: 9.85e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 100.62702848905644, "fos_buckling": 0.04065912951339956, "fos_yielding": 0.9314674891205407, "deflection": 0.009847494579233314, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.209)" }, "parent_node_id": "node_948", "improvement_over_parent": null }, "node_950": { "node_id": "node_950", "content": "MODIFICATION: Increase 8 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 104.82 kg\n Factor of Safety: 0.04\n Max Deflection: 9.71e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 104.81729981200068, "fos_buckling": 0.04064098185370426, "fos_yielding": 0.9310517410410294, "deflection": 0.009708336918400584, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.196)" }, "parent_node_id": "node_949", "improvement_over_parent": null }, "node_951": { "node_id": "node_951", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 116.84 kg\n Factor of Safety: 0.04\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 116.8425021782431, "fos_buckling": 0.044715772506915066, "fos_yielding": 1.0370107174003194, "deflection": 0.00871496558210514, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.122)" }, "parent_node_id": "node_950", "improvement_over_parent": null }, "node_952": { "node_id": "node_952", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 150.43 kg\n Factor of Safety: 0.06\n Max Deflection: 6.78e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.4268071472096, "fos_buckling": 0.055461788927113974, "fos_yielding": 1.3320119993086788, "deflection": 0.006781825108419763, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.312)" }, "parent_node_id": "node_951", "improvement_over_parent": null }, "node_953": { "node_id": "node_953", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n\nPerformance:\n Mass: 189.71 kg\n Factor of Safety: 1.24\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.71247971056226, "fos_buckling": 1.2387371543972525, "fos_yielding": 3.7266047179192983, "deflection": 0.0016588596200753842, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005149)" }, "parent_node_id": "node_952", "improvement_over_parent": null }, "node_954": { "node_id": "node_954", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n\nPerformance:\n Mass: 201.02 kg\n Factor of Safety: 1.44\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.01689615629414, "fos_buckling": 1.439157364222385, "fos_yielding": 3.7383979445263655, "deflection": 0.0016085830355177233, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002762)" }, "parent_node_id": "node_953", "improvement_over_parent": null }, "node_955": { "node_id": "node_955", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.15 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.151476214052, "fos_buckling": 1.5674302247476095, "fos_yielding": 4.148415889333478, "deflection": 0.0014510486844270807, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.121)" }, "parent_node_id": "node_954", "improvement_over_parent": null }, "node_956": { "node_id": "node_956", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_955", "improvement_over_parent": null }, "node_957": { "node_id": "node_957", "content": "INITIAL DESIGN (Trace 137)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n\nPerformance:\n Mass: 120.56 kg\n Factor of Safety: 0.06\n Max Deflection: 7.78e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.55987514135468, "fos_buckling": 0.06323771992084423, "fos_yielding": 0.966065755645612, "deflection": 0.007775161472106256, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_958": { "node_id": "node_958", "content": "MODIFICATION: Increase 2 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n\nPerformance:\n Mass: 121.80 kg\n Factor of Safety: 0.09\n Max Deflection: 7.03e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.8041354380618, "fos_buckling": 0.09335706561827836, "fos_yielding": 1.4847445582458996, "deflection": 0.007026969550113555, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.570)" }, "parent_node_id": "node_957", "improvement_over_parent": null }, "node_959": { "node_id": "node_959", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n\nPerformance:\n Mass: 151.15 kg\n Factor of Safety: 1.11\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": 151.14876491012538, "fos_buckling": 1.1121497021267157, "fos_yielding": 2.888495481600121, "deflection": 0.002127694289451026, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.003812)" }, "parent_node_id": "node_958", "improvement_over_parent": null }, "node_960": { "node_id": "node_960", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 190.28 kg\n Factor of Safety: 1.35\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.27812782793762, "fos_buckling": 1.353396018364057, "fos_yielding": 3.6344746065742735, "deflection": 0.0016946570000310262, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.280)" }, "parent_node_id": "node_959", "improvement_over_parent": null }, "node_961": { "node_id": "node_961", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 219.72 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 219.7227959311587, "fos_buckling": 1.5224912532884531, "fos_yielding": 4.195335454941173, "deflection": 0.0014704967165809694, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.170)" }, "parent_node_id": "node_960", "improvement_over_parent": null }, "node_962": { "node_id": "node_962", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.28 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.2772032668567, "fos_buckling": 1.5682529606873608, "fos_yielding": 4.151568711440835, "deflection": 0.0014503123580069167, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_961", "improvement_over_parent": null }, "node_963": { "node_id": "node_963", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_962", "improvement_over_parent": null }, "node_964": { "node_id": "node_964", "content": "INITIAL DESIGN (Trace 138)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0008)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 167.66 kg\n Factor of Safety: 1.24\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.66019072438132, "fos_buckling": 1.2439909532185986, "fos_yielding": 3.424334945015361, "deflection": 0.0018598357664509205, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_965": { "node_id": "node_965", "content": "MODIFICATION: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0011)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 168.87 kg\n Factor of Safety: 1.24\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.86609133151794, "fos_buckling": 1.2441513216014957, "fos_yielding": 3.424334945015361, "deflection": 0.0018598331153853028, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.339)" }, "parent_node_id": "node_964", "improvement_over_parent": null }, "node_966": { "node_id": "node_966", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0011)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 173.89 kg\n Factor of Safety: 1.29\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.88591428241628, "fos_buckling": 1.2880603443506262, "fos_yielding": 3.424334945015361, "deflection": 0.0018180605302555793, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002056)" }, "parent_node_id": "node_965", "improvement_over_parent": null }, "node_967": { "node_id": "node_967", "content": "MODIFICATION: Increase 8 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0011)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0075)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 193.51 kg\n Factor of Safety: 1.29\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.5128265696846, "fos_buckling": 1.285389565682266, "fos_yielding": 3.4243349450153606, "deflection": 0.0016378749940441435, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.639)" }, "parent_node_id": "node_966", "improvement_over_parent": null }, "node_968": { "node_id": "node_968", "content": "MODIFICATION: Increase 8 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0011)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0100)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 208.54 kg\n Factor of Safety: 1.28\n Max Deflection: 1.57e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.53663330241469, "fos_buckling": 1.283352637564897, "fos_yielding": 3.4243349450153606, "deflection": 0.0015669349234860666, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.330)" }, "parent_node_id": "node_967", "improvement_over_parent": null }, "node_969": { "node_id": "node_969", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0124)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 253.57 kg\n Factor of Safety: 1.52\n Max Deflection: 1.29e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 253.57131489108096, "fos_buckling": 1.5171489680656394, "fos_yielding": 4.1955821908528, "deflection": 0.0012881307757011853, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.248)" }, "parent_node_id": "node_968", "improvement_over_parent": null }, "node_970": { "node_id": "node_970", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0124)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 257.13 kg\n Factor of Safety: 1.37\n Max Deflection: 1.26e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 257.125722226779, "fos_buckling": 1.3722386435053275, "fos_yielding": 4.140043170481562, "deflection": 0.0012588751275848676, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_969", "improvement_over_parent": null }, "node_971": { "node_id": "node_971", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_970", "improvement_over_parent": null }, "node_972": { "node_id": "node_972", "content": "INITIAL DESIGN (Trace 139)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 195.13 kg\n Factor of Safety: 1.07\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.12745433344762, "fos_buckling": 1.0741017340371846, "fos_yielding": 3.0488627470233474, "deflection": 0.0016527338934085116, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_973": { "node_id": "node_973", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 198.68 kg\n Factor of Safety: 1.08\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.68186166914563, "fos_buckling": 1.0777535246628174, "fos_yielding": 3.0592284396254557, "deflection": 0.0016364131573589707, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_972", "improvement_over_parent": null }, "node_974": { "node_id": "node_974", "content": "MODIFICATION: Increase 6 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0095)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 222.50 kg\n Factor of Safety: 1.07\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 222.4994143787758, "fos_buckling": 1.0743099138587164, "fos_yielding": 3.0494536702873525, "deflection": 0.0014867930077434588, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.642)" }, "parent_node_id": "node_973", "improvement_over_parent": null }, "node_975": { "node_id": "node_975", "content": "MODIFICATION: Increase 5 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0055)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0095)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 232.72 kg\n Factor of Safety: 1.24\n Max Deflection: 1.45e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 232.71996289033513, "fos_buckling": 1.2388905212918395, "fos_yielding": 4.203925914088121, "deflection": 0.0014452523251110884, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.582)" }, "parent_node_id": "node_974", "improvement_over_parent": null }, "node_976": { "node_id": "node_976", "content": "MODIFICATION: Increase 10 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0055)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0095)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0027)]\n\nPerformance:\n Mass: 233.93 kg\n Factor of Safety: 1.24\n Max Deflection: 1.45e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 233.9340254620509, "fos_buckling": 1.2369184500612211, "fos_yielding": 4.20427484909676, "deflection": 0.0014456061878217344, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.391)" }, "parent_node_id": "node_975", "improvement_over_parent": null }, "node_977": { "node_id": "node_977", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_976", "improvement_over_parent": null }, "node_978": { "node_id": "node_978", "content": "INITIAL DESIGN (Trace 140)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n\nPerformance:\n Mass: 152.84 kg\n Factor of Safety: 1.02\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.8398047017041, "fos_buckling": 1.0227187914884355, "fos_yielding": 2.8645647593217114, "deflection": 0.002101230686949168, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_979": { "node_id": "node_979", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 182.80 kg\n Factor of Safety: 1.19\n Max Deflection: 1.76e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.7951600092821, "fos_buckling": 1.1918990546973094, "fos_yielding": 3.424024711366712, "deflection": 0.0017602964782507675, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.211)" }, "parent_node_id": "node_978", "improvement_over_parent": null }, "node_980": { "node_id": "node_980", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 222.09 kg\n Factor of Safety: 1.40\n Max Deflection: 1.45e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 222.09459920503315, "fos_buckling": 1.3996584855734018, "fos_yielding": 4.156998176370015, "deflection": 0.0014524910200323054, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.236)" }, "parent_node_id": "node_979", "improvement_over_parent": null }, "node_981": { "node_id": "node_981", "content": "MODIFICATION: Increase 2 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.28 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.28164762297405, "fos_buckling": 1.5681509548648693, "fos_yielding": 4.1518055695033595, "deflection": 0.0014502835954317904, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.550)" }, "parent_node_id": "node_980", "improvement_over_parent": null }, "node_982": { "node_id": "node_982", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_981", "improvement_over_parent": null }, "node_983": { "node_id": "node_983", "content": "INITIAL DESIGN (Trace 141)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0010)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0028)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n\nPerformance:\n Mass: 107.05 kg\n Factor of Safety: 0.38\n Max Deflection: 3.34e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 107.0514356056448, "fos_buckling": 0.375176434970554, "fos_yielding": 2.0765478101462045, "deflection": 0.0033367387472115003, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_984": { "node_id": "node_984", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 130.72 kg\n Factor of Safety: 0.45\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": 130.71570438746863, "fos_buckling": 0.44930793599709795, "fos_yielding": 2.5434314772946505, "deflection": 0.0027341383793556963, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.233)" }, "parent_node_id": "node_983", "improvement_over_parent": null }, "node_985": { "node_id": "node_985", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 149.52 kg\n Factor of Safety: 0.51\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": 149.52148873718272, "fos_buckling": 0.506015966677918, "fos_yielding": 2.9168560371400813, "deflection": 0.002391218378901137, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.153)" }, "parent_node_id": "node_984", "improvement_over_parent": null }, "node_986": { "node_id": "node_986", "content": "MODIFICATION: Increase 0 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 151.55 kg\n Factor of Safety: 0.66\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": 151.54781829829074, "fos_buckling": 0.6626209284238074, "fos_yielding": 2.941607745809859, "deflection": 0.0022473450650062465, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.330)" }, "parent_node_id": "node_985", "improvement_over_parent": null }, "node_987": { "node_id": "node_987", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n\nPerformance:\n Mass: 155.25 kg\n Factor of Safety: 0.77\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": 155.24933500711163, "fos_buckling": 0.7748684026684435, "fos_yielding": 2.9502146622174212, "deflection": 0.0021902163796357088, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001654)" }, "parent_node_id": "node_986", "improvement_over_parent": null }, "node_988": { "node_id": "node_988", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n\nPerformance:\n Mass: 179.49 kg\n Factor of Safety: 0.88\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.49357875794337, "fos_buckling": 0.8767763723059835, "fos_yielding": 3.408970943437783, "deflection": 0.0018960677605835352, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.168)" }, "parent_node_id": "node_987", "improvement_over_parent": null }, "node_989": { "node_id": "node_989", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 217.16 kg\n Factor of Safety: 1.03\n Max Deflection: 1.57e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.16277010582286, "fos_buckling": 1.0254620317685292, "fos_yielding": 4.120662202241784, "deflection": 0.0015692605363912002, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.230)" }, "parent_node_id": "node_988", "improvement_over_parent": null }, "node_990": { "node_id": "node_990", "content": "MODIFICATION: Increase 0 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 223.23 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.22949239032573, "fos_buckling": 1.5677886139525434, "fos_yielding": 4.150602504108293, "deflection": 0.0014505556250017358, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.560)" }, "parent_node_id": "node_989", "improvement_over_parent": null }, "node_991": { "node_id": "node_991", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_990", "improvement_over_parent": null }, "node_992": { "node_id": "node_992", "content": "INITIAL DESIGN (Trace 142)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0031)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n\nPerformance:\n Mass: 91.21 kg\n Factor of Safety: 0.03\n Max Deflection: 1.84e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 91.20630799291412, "fos_buckling": 0.03430590591682225, "fos_yielding": 0.7818720697073392, "deflection": 0.018362451452138582, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_993": { "node_id": "node_993", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0031)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n\nPerformance:\n Mass: 94.42 kg\n Factor of Safety: 0.07\n Max Deflection: 9.21e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 94.42308469860704, "fos_buckling": 0.07305975905594828, "fos_yielding": 1.1300279497086028, "deflection": 0.009208354231533579, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001283)" }, "parent_node_id": "node_992", "improvement_over_parent": null }, "node_994": { "node_id": "node_994", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n\nPerformance:\n Mass: 116.04 kg\n Factor of Safety: 0.09\n Max Deflection: 7.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 116.03935203379024, "fos_buckling": 0.0878651257183904, "fos_yielding": 1.3865801137482274, "deflection": 0.00750177515943283, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.242)" }, "parent_node_id": "node_993", "improvement_over_parent": null }, "node_995": { "node_id": "node_995", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 144.45 kg\n Factor of Safety: 0.11\n Max Deflection: 6.04e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.45381454913175, "fos_buckling": 0.10624963933894754, "fos_yielding": 1.7226133288858196, "deflection": 0.006035436304430961, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.263)" }, "parent_node_id": "node_994", "improvement_over_parent": null }, "node_996": { "node_id": "node_996", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 178.53 kg\n Factor of Safety: 1.30\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.52783110421564, "fos_buckling": 1.3019082115075113, "fos_yielding": 3.3229892788255677, "deflection": 0.001808895556616487, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004472)" }, "parent_node_id": "node_995", "improvement_over_parent": null }, "node_997": { "node_id": "node_997", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.41 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.40510176151736, "fos_buckling": 1.567921134116129, "fos_yielding": 4.154949308733341, "deflection": 0.0014496181735350845, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.276)" }, "parent_node_id": "node_996", "improvement_over_parent": null }, "node_998": { "node_id": "node_998", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_997", "improvement_over_parent": null }, "node_999": { "node_id": "node_999", "content": "INITIAL DESIGN (Trace 143)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 154.46 kg\n Factor of Safety: 1.11\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": 154.45976408615076, "fos_buckling": 1.1055888274558623, "fos_yielding": 2.5251509628862845, "deflection": 0.002462830048553586, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1000": { "node_id": "node_1000", "content": "MODIFICATION: Increase 6 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 159.89 kg\n Factor of Safety: 1.23\n Max Deflection: 2.36e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.8867771046302, "fos_buckling": 1.2312254325572454, "fos_yielding": 2.523697350171423, "deflection": 0.0023569089339121763, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.196)" }, "parent_node_id": "node_999", "improvement_over_parent": null }, "node_1001": { "node_id": "node_1001", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n\nPerformance:\n Mass: 165.28 kg\n Factor of Safety: 1.19\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": 165.28210760399182, "fos_buckling": 1.1911451982387984, "fos_yielding": 2.6109872258015403, "deflection": 0.002341668445890756, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001551)" }, "parent_node_id": "node_1000", "improvement_over_parent": null }, "node_1002": { "node_id": "node_1002", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 170.25 kg\n Factor of Safety: 0.58\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": 170.24974809296592, "fos_buckling": 0.5790600063774365, "fos_yielding": 2.7599144210131117, "deflection": 0.002186711489381389, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002033)" }, "parent_node_id": "node_1001", "improvement_over_parent": null }, "node_1003": { "node_id": "node_1003", "content": "MODIFICATION: Increase 0 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 173.46 kg\n Factor of Safety: 0.94\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": 173.46394646493846, "fos_buckling": 0.9376264659812342, "fos_yielding": 3.334229084911939, "deflection": 0.001958682488346117, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.553)" }, "parent_node_id": "node_1002", "improvement_over_parent": null }, "node_1004": { "node_id": "node_1004", "content": "MODIFICATION: Increase 0 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 178.65 kg\n Factor of Safety: 1.31\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.65081101312833, "fos_buckling": 1.314419987137484, "fos_yielding": 3.3578912193771524, "deflection": 0.0017948953399906417, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.600)" }, "parent_node_id": "node_1003", "improvement_over_parent": null }, "node_1005": { "node_id": "node_1005", "content": "MODIFICATION: Increase 8 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0059)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 188.37 kg\n Factor of Safety: 1.32\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.3659861786965, "fos_buckling": 1.3179469711680656, "fos_yielding": 3.3545066280612037, "deflection": 0.0016895604505822424, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.311)" }, "parent_node_id": "node_1004", "improvement_over_parent": null }, "node_1006": { "node_id": "node_1006", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0075)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 233.16 kg\n Factor of Safety: 1.57\n Max Deflection: 1.37e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 233.16227399370482, "fos_buckling": 1.5738502803806171, "fos_yielding": 4.154923203289255, "deflection": 0.0013690492034944437, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.263)" }, "parent_node_id": "node_1005", "improvement_over_parent": null }, "node_1007": { "node_id": "node_1007", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1006", "improvement_over_parent": null }, "node_1008": { "node_id": "node_1008", "content": "INITIAL DESIGN (Trace 144)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0026)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n\nPerformance:\n Mass: 98.89 kg\n Factor of Safety: 0.08\n Max Deflection: 9.58e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 98.88609161514943, "fos_buckling": 0.07835657043710109, "fos_yielding": 0.8924727402949635, "deflection": 9577739002496.318, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1009": { "node_id": "node_1009", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0026)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n\nPerformance:\n Mass: 101.17 kg\n Factor of Safety: 0.80\n Max Deflection: 1.17e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 101.17338926396098, "fos_buckling": 0.8024955874154857, "fos_yielding": 1.9188335909399135, "deflection": 11699451298547.58, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001225)" }, "parent_node_id": "node_1008", "improvement_over_parent": null }, "node_1010": { "node_id": "node_1010", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0026)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 128.60 kg\n Factor of Safety: 0.78\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": 128.60453949408668, "fos_buckling": 0.7822709830983947, "fos_yielding": 1.8704748825112651, "deflection": 0.002371043845427536, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.003549)" }, "parent_node_id": "node_1009", "improvement_over_parent": null }, "node_1011": { "node_id": "node_1011", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 156.28 kg\n Factor of Safety: 0.94\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.27519139842022, "fos_buckling": 0.9381891222958163, "fos_yielding": 2.2798818341691134, "deflection": 0.0019565333125986578, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.230)" }, "parent_node_id": "node_1010", "improvement_over_parent": null }, "node_1012": { "node_id": "node_1012", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nPerformance:\n Mass: 166.08 kg\n Factor of Safety: 0.94\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.081925399686, "fos_buckling": 0.9415131776296098, "fos_yielding": 2.2879595801066746, "deflection": 0.0018827981948035073, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002369)" }, "parent_node_id": "node_1011", "improvement_over_parent": null }, "node_1013": { "node_id": "node_1013", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 212.71 kg\n Factor of Safety: 1.18\n Max Deflection: 1.48e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.70602874371178, "fos_buckling": 1.1804621111076026, "fos_yielding": 2.9456802495696386, "deflection": 0.0014751910692395477, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.307)" }, "parent_node_id": "node_1012", "improvement_over_parent": null }, "node_1014": { "node_id": "node_1014", "content": "MODIFICATION: Increase 4 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 215.20 kg\n Factor of Safety: 1.18\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.20061564975478, "fos_buckling": 1.1795488010963682, "fos_yielding": 2.943401210508145, "deflection": 0.0014713842416371162, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.468)" }, "parent_node_id": "node_1013", "improvement_over_parent": null }, "node_1015": { "node_id": "node_1015", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 171.78 kg\n Factor of Safety: 1.23\n Max Deflection: 1.89e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.78185614358682, "fos_buckling": 1.2299070890374655, "fos_yielding": 3.3764099974370003, "deflection": 0.0018860709747836703, "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: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 176.73 kg\n Factor of Safety: 1.27\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.73132513828818, "fos_buckling": 1.272055053886454, "fos_yielding": 3.376409997436999, "deflection": 0.0018228775353575676, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002025)" }, "parent_node_id": "node_1016", "improvement_over_parent": null }, "node_1018": { "node_id": "node_1018", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 219.71 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 219.70935465708945, "fos_buckling": 1.5224582371071322, "fos_yielding": 4.19521834131578, "deflection": 0.0014705870301723748, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.267)" }, "parent_node_id": "node_1017", "improvement_over_parent": null }, "node_1019": { "node_id": "node_1019", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.26376199278747, "fos_buckling": 1.568042940450356, "fos_yielding": 4.15145449729858, "deflection": 0.0014504029784054267, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_1018", "improvement_over_parent": null }, "node_1020": { "node_id": "node_1020", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n\nPerformance:\n Mass: 114.07 kg\n Factor of Safety: 0.04\n Max Deflection: 8.92e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.0721794822576, "fos_buckling": 0.04379036938822589, "fos_yielding": 1.012686167568761, "deflection": 0.008924819492807105, "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: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n\nPerformance:\n Mass: 143.84 kg\n Factor of Safety: 0.99\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": 143.84408985557556, "fos_buckling": 0.9914885445627436, "fos_yielding": 2.8285814669020737, "deflection": 0.002181044824924081, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003823)" }, "parent_node_id": "node_1021", "improvement_over_parent": null }, "node_1023": { "node_id": "node_1023", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n\nPerformance:\n Mass: 172.97 kg\n Factor of Safety: 1.15\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.97084234129449, "fos_buckling": 1.151278361762203, "fos_yielding": 3.399451361888268, "deflection": 0.0018174428650444354, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.218)" }, "parent_node_id": "node_1022", "improvement_over_parent": null }, "node_1024": { "node_id": "node_1024", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 210.93 kg\n Factor of Safety: 1.34\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.92835417978856, "fos_buckling": 1.3404377043282498, "fos_yielding": 4.142451005371194, "deflection": 0.00149430419580446, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.241)" }, "parent_node_id": "node_1023", "improvement_over_parent": null }, "node_1025": { "node_id": "node_1025", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.48 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.4767117998848, "fos_buckling": 1.5692526079165048, "fos_yielding": 4.155562784037358, "deflection": 0.0014489682986296732, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_1024", "improvement_over_parent": null }, "node_1026": { "node_id": "node_1026", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 210.92 kg\n Factor of Safety: 1.03\n Max Deflection: 1.58e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.92261847885644, "fos_buckling": 1.0342591514178199, "fos_yielding": 4.122033268415697, "deflection": 0.0015833115601993054, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1028": { "node_id": "node_1028", "content": "MODIFICATION: Increase 4 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 213.21 kg\n Factor of Safety: 0.96\n Max Deflection: 1.58e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.21123210205252, "fos_buckling": 0.9617980370505915, "fos_yielding": 4.116699613015537, "deflection": 0.0015803298383813137, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.650)" }, "parent_node_id": "node_1027", "improvement_over_parent": null }, "node_1029": { "node_id": "node_1029", "content": "MODIFICATION: Increase 0 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 218.07 kg\n Factor of Safety: 1.32\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.07186632654225, "fos_buckling": 1.3234892657158963, "fos_yielding": 4.137583056074547, "deflection": 0.0014967314129112424, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.408)" }, "parent_node_id": "node_1028", "improvement_over_parent": null }, "node_1030": { "node_id": "node_1030", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 223.25 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.24620920327092, "fos_buckling": 1.5679828214245064, "fos_yielding": 4.15133004994511, "deflection": 0.0014505553132744254, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_1029", "improvement_over_parent": null }, "node_1031": { "node_id": "node_1031", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1030", "improvement_over_parent": null }, "node_1032": { "node_id": "node_1032", "content": "INITIAL DESIGN (Trace 148)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0035)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n\nPerformance:\n Mass: 106.97 kg\n Factor of Safety: 0.08\n Max Deflection: 8.13e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 106.96588745553231, "fos_buckling": 0.08173692584979211, "fos_yielding": 1.2789871383444504, "deflection": 0.008134086627026605, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1033": { "node_id": "node_1033", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nPerformance:\n Mass: 140.12 kg\n Factor of Safety: 0.10\n Max Deflection: 6.22e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.1197536045033, "fos_buckling": 0.1035241712805874, "fos_yielding": 1.6714445102060027, "deflection": 0.006220637957146744, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.332)" }, "parent_node_id": "node_1032", "improvement_over_parent": null }, "node_1034": { "node_id": "node_1034", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 180.71 kg\n Factor of Safety: 0.13\n Max Deflection: 4.83e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.7113910147929, "fos_buckling": 0.1279429979462277, "fos_yielding": 2.149425849915879, "deflection": 0.004833949255997125, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.318)" }, "parent_node_id": "node_1033", "improvement_over_parent": null }, "node_1035": { "node_id": "node_1035", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.36 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.3633593661663, "fos_buckling": 1.568176855838676, "fos_yielding": 4.153708750450108, "deflection": 0.0014498250821121592, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_1034", "improvement_over_parent": null }, "node_1036": { "node_id": "node_1036", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1035", "improvement_over_parent": null }, "node_1037": { "node_id": "node_1037", "content": "INITIAL DESIGN (Trace 149)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\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_1038": { "node_id": "node_1038", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 211.33 kg\n Factor of Safety: 1.40\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.33347647882007, "fos_buckling": 1.3961623040571727, "fos_yielding": 4.196455815373248, "deflection": 0.001519625808513644, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_1037", "improvement_over_parent": null }, "node_1039": { "node_id": "node_1039", "content": "MODIFICATION: Increase 1 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 214.65 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 214.651749601212, "fos_buckling": 1.5232374994481666, "fos_yielding": 4.196455815373248, "deflection": 0.0014700803975903002, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.256)" }, "parent_node_id": "node_1038", "improvement_over_parent": null }, "node_1040": { "node_id": "node_1040", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.26485421597266, "fos_buckling": 1.5679721666297783, "fos_yielding": 4.151338596745352, "deflection": 0.001450359945323577, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_1039", "improvement_over_parent": null }, "node_1041": { "node_id": "node_1041", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 150)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0027)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n\nPerformance:\n Mass: 106.25 kg\n Factor of Safety: 0.80\n Max Deflection: 3.09e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 106.2459480644801, "fos_buckling": 0.7971895170931514, "fos_yielding": 2.0611276550192703, "deflection": 0.003091051992211056, "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 all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0031)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n\nPerformance:\n Mass: 120.64 kg\n Factor of Safety: 0.89\n Max Deflection: 2.72e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.63560857897234, "fos_buckling": 0.8946943908762431, "fos_yielding": 2.3395733601774276, "deflection": 0.002724173323095493, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.142)" }, "parent_node_id": "node_1042", "improvement_over_parent": null }, "node_1044": { "node_id": "node_1044", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 146.12 kg\n Factor of Safety: 1.06\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": 146.12052248624124, "fos_buckling": 1.0612940362979488, "fos_yielding": 2.8323036046699066, "deflection": 0.0022517228975986034, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.224)" }, "parent_node_id": "node_1043", "improvement_over_parent": null }, "node_1045": { "node_id": "node_1045", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n\nPerformance:\n Mass: 150.26 kg\n Factor of Safety: 1.12\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": 150.2643417776507, "fos_buckling": 1.1226075232153372, "fos_yielding": 2.797654894081226, "deflection": 0.002145141087201927, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001675)" }, "parent_node_id": "node_1044", "improvement_over_parent": null }, "node_1046": { "node_id": "node_1046", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 186.23 kg\n Factor of Safety: 1.35\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.2284615962532, "fos_buckling": 1.3501260926202627, "fos_yielding": 3.465016251021048, "deflection": 0.0017348107213887008, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.258)" }, "parent_node_id": "node_1045", "improvement_over_parent": null }, "node_1047": { "node_id": "node_1047", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.20 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.195860422049, "fos_buckling": 1.5676482202126103, "fos_yielding": 4.15010209480075, "deflection": 0.0014508534827345264, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.218)" }, "parent_node_id": "node_1046", "improvement_over_parent": null }, "node_1048": { "node_id": "node_1048", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1047", "improvement_over_parent": null }, "node_1049": { "node_id": "node_1049", "content": "INITIAL DESIGN (Trace 151)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n\nPerformance:\n Mass: 115.99 kg\n Factor of Safety: 0.05\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": 115.99144808798135, "fos_buckling": 0.05283529628314465, "fos_yielding": 1.0522095342538949, "deflection": 0.013154245322984936, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1050": { "node_id": "node_1050", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n\nPerformance:\n Mass: 152.91 kg\n Factor of Safety: 0.11\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": 152.91307870284123, "fos_buckling": 0.11148726513344011, "fos_yielding": 1.8223853952370066, "deflection": 0.005704148362324885, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004814)" }, "parent_node_id": "node_1049", "improvement_over_parent": null }, "node_1051": { "node_id": "node_1051", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 180.62 kg\n Factor of Safety: 0.13\n Max Deflection: 4.84e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.6173886008037, "fos_buckling": 0.1278891070941562, "fos_yielding": 2.1483181183430617, "deflection": 0.004836445412966479, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.199)" }, "parent_node_id": "node_1050", "improvement_over_parent": null }, "node_1052": { "node_id": "node_1052", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.27 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.2693569521771, "fos_buckling": 1.5680923351834637, "fos_yielding": 4.151538881838573, "deflection": 0.0014503706441321353, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_1051", "improvement_over_parent": null }, "node_1053": { "node_id": "node_1053", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1052", "improvement_over_parent": null }, "node_1054": { "node_id": "node_1054", "content": "INITIAL DESIGN (Trace 152)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\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_1055": { "node_id": "node_1055", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 214.65 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 214.64548007946038, "fos_buckling": 1.5232385072695878, "fos_yielding": 4.196455815373248, "deflection": 0.0014701573532745083, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_1054", "improvement_over_parent": null }, "node_1056": { "node_id": "node_1056", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25858469422104, "fos_buckling": 1.5680097193854248, "fos_yielding": 4.1513431428331, "deflection": 0.0014504397253500814, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_1055", "improvement_over_parent": null }, "node_1057": { "node_id": "node_1057", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1056", "improvement_over_parent": null }, "node_1058": { "node_id": "node_1058", "content": "INITIAL DESIGN (Trace 153)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0028)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n\nPerformance:\n Mass: 88.61 kg\n Factor of Safety: 0.07\n Max Deflection: 9.37e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 88.6086682202284, "fos_buckling": 0.07212632378322818, "fos_yielding": 1.1141793908192954, "deflection": 0.009368176518684278, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1059": { "node_id": "node_1059", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n\nPerformance:\n Mass: 113.46 kg\n Factor of Safety: 0.09\n Max Deflection: 7.33e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.46475204416144, "fos_buckling": 0.08998923535357593, "fos_yielding": 1.4242508759102261, "deflection": 0.007325705032263556, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.297)" }, "parent_node_id": "node_1058", "improvement_over_parent": null }, "node_1060": { "node_id": "node_1060", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 141.60 kg\n Factor of Safety: 1.07\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": 141.59626658269656, "fos_buckling": 1.0725209107929008, "fos_yielding": 2.7706909437050666, "deflection": 0.002217565765312378, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.003645)" }, "parent_node_id": "node_1059", "improvement_over_parent": null }, "node_1061": { "node_id": "node_1061", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n\nPerformance:\n Mass: 147.28 kg\n Factor of Safety: 1.10\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": 147.27727652606632, "fos_buckling": 1.1029225684350705, "fos_yielding": 2.7423416029573087, "deflection": 0.0021882355762287906, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001638)" }, "parent_node_id": "node_1060", "improvement_over_parent": null }, "node_1062": { "node_id": "node_1062", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 181.91 kg\n Factor of Safety: 1.32\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.91379631863168, "fos_buckling": 1.3235722881702943, "fos_yielding": 3.3851842323951984, "deflection": 0.0017754738017447809, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.253)" }, "parent_node_id": "node_1061", "improvement_over_parent": null }, "node_1063": { "node_id": "node_1063", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n\nPerformance:\n Mass: 202.66 kg\n Factor of Safety: 1.45\n Max Deflection: 1.60e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.65940479351588, "fos_buckling": 1.4487558646935377, "fos_yielding": 3.769834690472476, "deflection": 0.0015958100790546903, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.124)" }, "parent_node_id": "node_1062", "improvement_over_parent": null }, "node_1064": { "node_id": "node_1064", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.31 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.31197110124123, "fos_buckling": 1.5682118319456089, "fos_yielding": 4.152476610693342, "deflection": 0.0014501092960166031, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.112)" }, "parent_node_id": "node_1063", "improvement_over_parent": null }, "node_1065": { "node_id": "node_1065", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1064", "improvement_over_parent": null }, "node_1066": { "node_id": "node_1066", "content": "INITIAL DESIGN (Trace 154)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 140.61 kg\n Factor of Safety: 0.90\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": 140.60951019517, "fos_buckling": 0.900762639347632, "fos_yielding": 2.9785922851075335, "deflection": 0.0024460741792744494, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1067": { "node_id": "node_1067", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n\nPerformance:\n Mass: 144.29 kg\n Factor of Safety: 0.89\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": 144.29001767188254, "fos_buckling": 0.8946907348437226, "fos_yielding": 2.9842403376131146, "deflection": 0.002447589914238893, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001644)" }, "parent_node_id": "node_1066", "improvement_over_parent": null }, "node_1068": { "node_id": "node_1068", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n\nPerformance:\n Mass: 148.67 kg\n Factor of Safety: 0.79\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": 148.6661468603336, "fos_buckling": 0.7876725910973787, "fos_yielding": 2.935223942229536, "deflection": 0.0022902931549856737, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001775)" }, "parent_node_id": "node_1067", "improvement_over_parent": null }, "node_1069": { "node_id": "node_1069", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 182.47 kg\n Factor of Safety: 0.94\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.4735325338105, "fos_buckling": 0.9364576032684722, "fos_yielding": 3.5976814149519987, "deflection": 0.0018680096888270064, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.245)" }, "parent_node_id": "node_1068", "improvement_over_parent": null }, "node_1070": { "node_id": "node_1070", "content": "MODIFICATION: Increase 1 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 185.59 kg\n Factor of Safety: 0.90\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.59315351901057, "fos_buckling": 0.8975274647164799, "fos_yielding": 3.595036935658378, "deflection": 0.001802946104296658, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.277)" }, "parent_node_id": "node_1069", "improvement_over_parent": null }, "node_1071": { "node_id": "node_1071", "content": "MODIFICATION: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 188.95 kg\n Factor of Safety: 0.91\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.9480283788992, "fos_buckling": 0.9105227347788295, "fos_yielding": 3.5959443948866707, "deflection": 0.0017986004955062918, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.342)" }, "parent_node_id": "node_1070", "improvement_over_parent": null }, "node_1072": { "node_id": "node_1072", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0043)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0042)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 216.50 kg\n Factor of Safety: 1.02\n Max Deflection: 1.57e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.50173792537757, "fos_buckling": 1.0174711074956622, "fos_yielding": 4.117977974812917, "deflection": 0.0015709294712777256, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.160)" }, "parent_node_id": "node_1071", "improvement_over_parent": null }, "node_1073": { "node_id": "node_1073", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1072", "improvement_over_parent": null }, "node_1074": { "node_id": "node_1074", "content": "INITIAL DESIGN (Trace 155)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0023)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n\nPerformance:\n Mass: 142.83 kg\n Factor of Safety: 0.51\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": 142.83168715053813, "fos_buckling": 0.507231585619263, "fos_yielding": 2.8409935028270428, "deflection": 0.0024521052859358197, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1075": { "node_id": "node_1075", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0027)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 169.86 kg\n Factor of Safety: 0.59\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": 169.8626850349225, "fos_buckling": 0.5903670332383555, "fos_yielding": 3.375254099887472, "deflection": 0.0020627659261943923, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.203)" }, "parent_node_id": "node_1074", "improvement_over_parent": null }, "node_1076": { "node_id": "node_1076", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 205.94 kg\n Factor of Safety: 0.70\n Max Deflection: 1.70e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.9444377733611, "fos_buckling": 0.6952927825077818, "fos_yielding": 4.086564695461298, "deflection": 0.0017021977752255514, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.232)" }, "parent_node_id": "node_1075", "improvement_over_parent": null }, "node_1077": { "node_id": "node_1077", "content": "MODIFICATION: Increase 7 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 215.92 kg\n Factor of Safety: 1.18\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.92287318246377, "fos_buckling": 1.1823629611285, "fos_yielding": 4.129711347958442, "deflection": 0.0015305331732124285, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.408)" }, "parent_node_id": "node_1076", "improvement_over_parent": null }, "node_1078": { "node_id": "node_1078", "content": "MODIFICATION: Increase 7 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.20 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.20001362493832, "fos_buckling": 1.567634417232448, "fos_yielding": 4.1501216741767575, "deflection": 0.0014507914785538447, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.220)" }, "parent_node_id": "node_1077", "improvement_over_parent": null }, "node_1079": { "node_id": "node_1079", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1078", "improvement_over_parent": null }, "node_1080": { "node_id": "node_1080", "content": "INITIAL DESIGN (Trace 156)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1081": { "node_id": "node_1081", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n\nPerformance:\n Mass: 129.16 kg\n Factor of Safety: 0.02\n Max Deflection: 1.09e+14 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.1570221895916, "fos_buckling": 0.01906893071227973, "fos_yielding": 0.27563836151200366, "deflection": 109263014778413.17, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001146)" }, "parent_node_id": "node_1080", "improvement_over_parent": null }, "node_1082": { "node_id": "node_1082", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n\nPerformance:\n Mass: 164.04 kg\n Factor of Safety: 1.21\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": 164.0392587757402, "fos_buckling": 1.2124908066598354, "fos_yielding": 3.358567420054221, "deflection": 0.0020093527294574396, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004528)" }, "parent_node_id": "node_1081", "improvement_over_parent": null }, "node_1083": { "node_id": "node_1083", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 170.93 kg\n Factor of Safety: 0.75\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.92784255322377, "fos_buckling": 0.7520115208922395, "fos_yielding": 3.305582680081779, "deflection": 0.0019386039099626535, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002012)" }, "parent_node_id": "node_1082", "improvement_over_parent": null }, "node_1084": { "node_id": "node_1084", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 213.66 kg\n Factor of Safety: 0.91\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.6643383392737, "fos_buckling": 0.9094780160128382, "fos_yielding": 4.1274646560233395, "deflection": 0.0015547125497851213, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.274)" }, "parent_node_id": "node_1083", "improvement_over_parent": null }, "node_1085": { "node_id": "node_1085", "content": "MODIFICATION: Increase 0 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 217.13 kg\n Factor of Safety: 1.13\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.12967527032987, "fos_buckling": 1.131960461100037, "fos_yielding": 4.140087099665429, "deflection": 0.0014996944358540445, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.263)" }, "parent_node_id": "node_1084", "improvement_over_parent": null }, "node_1086": { "node_id": "node_1086", "content": "MODIFICATION: Increase 2 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0083)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 227.88 kg\n Factor of Safety: 0.76\n Max Deflection: 1.48e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 227.88375764873507, "fos_buckling": 0.7645865563250908, "fos_yielding": 4.9357705721946665, "deflection": 0.0014843891719985057, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.350)" }, "parent_node_id": "node_1085", "improvement_over_parent": null }, "node_1087": { "node_id": "node_1087", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0083)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 233.06 kg\n Factor of Safety: 0.91\n Max Deflection: 1.44e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 233.05810052546374, "fos_buckling": 0.9085159754456511, "fos_yielding": 4.800323456384876, "deflection": 0.0014399802456603827, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_1086", "improvement_over_parent": null }, "node_1088": { "node_id": "node_1088", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1087", "improvement_over_parent": null }, "node_1089": { "node_id": "node_1089", "content": "INITIAL DESIGN (Trace 157)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0009)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n\nPerformance:\n Mass: 86.55 kg\n Factor of Safety: 0.03\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 86.54631754514598, "fos_buckling": 0.03459450292668539, "fos_yielding": 0.7789483129901519, "deflection": 0.012369868753948712, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1090": { "node_id": "node_1090", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0009)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n\nPerformance:\n Mass: 93.12 kg\n Factor of Safety: 0.03\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 93.121896745253, "fos_buckling": 0.03457025545031509, "fos_yielding": 0.7784023438558956, "deflection": 0.012187022713815575, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.001552)" }, "parent_node_id": "node_1089", "improvement_over_parent": null }, "node_1091": { "node_id": "node_1091", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0009)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0029)]\n\nPerformance:\n Mass: 115.97 kg\n Factor of Safety: 0.78\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": 115.9715613912424, "fos_buckling": 0.7812624123578511, "fos_yielding": 2.1828122066205937, "deflection": 0.0027660473466482164, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.002893)" }, "parent_node_id": "node_1090", "improvement_over_parent": null }, "node_1092": { "node_id": "node_1092", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n\nPerformance:\n Mass: 140.35 kg\n Factor of Safety: 0.94\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": 140.35443346971124, "fos_buckling": 0.9411757452273647, "fos_yielding": 2.6403670319046726, "deflection": 0.0022889157619766696, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.222)" }, "parent_node_id": "node_1091", "improvement_over_parent": null }, "node_1093": { "node_id": "node_1093", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0045)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0043)]\n\nPerformance:\n Mass: 168.18 kg\n Factor of Safety: 1.12\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.18207741627242, "fos_buckling": 1.1216796675413696, "fos_yielding": 3.1619697614906954, "deflection": 0.0019134269836377253, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.212)" }, "parent_node_id": "node_1092", "improvement_over_parent": null }, "node_1094": { "node_id": "node_1094", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n\nPerformance:\n Mass: 195.35 kg\n Factor of Safety: 1.30\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.3480649184866, "fos_buckling": 1.2957481980735353, "fos_yielding": 3.6705531404373706, "deflection": 0.0016500627407709124, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.175)" }, "parent_node_id": "node_1093", "improvement_over_parent": null }, "node_1095": { "node_id": "node_1095", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 221.50 kg\n Factor of Safety: 1.46\n Max Deflection: 1.46e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.49905711487898, "fos_buckling": 1.4612254142058745, "fos_yielding": 4.159552144361274, "deflection": 0.0014575676336498972, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.147)" }, "parent_node_id": "node_1094", "improvement_over_parent": null }, "node_1096": { "node_id": "node_1096", "content": "MODIFICATION: Increase 5 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.37 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.37444394234905, "fos_buckling": 1.5686922338362697, "fos_yielding": 4.1536520883126755, "deflection": 0.0014496929584273898, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.481)" }, "parent_node_id": "node_1095", "improvement_over_parent": null }, "node_1097": { "node_id": "node_1097", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1096", "improvement_over_parent": null }, "node_1098": { "node_id": "node_1098", "content": "INITIAL DESIGN (Trace 158)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 149.73 kg\n Factor of Safety: 1.02\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.7321703654782, "fos_buckling": 1.0247009928745923, "fos_yielding": 2.9440797122489664, "deflection": 0.0020961430368134555, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1099": { "node_id": "node_1099", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 181.85 kg\n Factor of Safety: 1.20\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.85423918975312, "fos_buckling": 1.1972978010958693, "fos_yielding": 3.573487619392379, "deflection": 0.001729733942402865, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.232)" }, "parent_node_id": "node_1098", "improvement_over_parent": null }, "node_1100": { "node_id": "node_1100", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 210.82 kg\n Factor of Safety: 1.34\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.8224410846766, "fos_buckling": 1.3397674200135319, "fos_yielding": 4.140438267844801, "deflection": 0.0014950504421952849, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.175)" }, "parent_node_id": "node_1099", "improvement_over_parent": null }, "node_1101": { "node_id": "node_1101", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.37 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.37079870477285, "fos_buckling": 1.568658383740419, "fos_yielding": 4.153545532380188, "deflection": 0.001449686282139566, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_1100", "improvement_over_parent": null }, "node_1102": { "node_id": "node_1102", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1101", "improvement_over_parent": null }, "node_1103": { "node_id": "node_1103", "content": "INITIAL DESIGN (Trace 159)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0025)]\n\nPerformance:\n Mass: 114.90 kg\n Factor of Safety: 0.03\n Max Deflection: 1.01e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.90318634444215, "fos_buckling": 0.030843575686881362, "fos_yielding": 0.6875768149531771, "deflection": 0.010074938961915714, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1104": { "node_id": "node_1104", "content": "MODIFICATION: Increase 2 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0025)]\n\nPerformance:\n Mass: 115.32 kg\n Factor of Safety: 0.04\n Max Deflection: 9.46e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.32494145991375, "fos_buckling": 0.03798138438362346, "fos_yielding": 0.863540138413115, "deflection": 0.009461458614182211, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.269)" }, "parent_node_id": "node_1103", "improvement_over_parent": null }, "node_1105": { "node_id": "node_1105", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n\nPerformance:\n Mass: 131.18 kg\n Factor of Safety: 0.04\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": 131.18139562106091, "fos_buckling": 0.04261951699688749, "fos_yielding": 0.9822965467875641, "deflection": 0.008322977435780237, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.147)" }, "parent_node_id": "node_1104", "improvement_over_parent": null }, "node_1106": { "node_id": "node_1106", "content": "MODIFICATION: Increase 2 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n\nPerformance:\n Mass: 131.67 kg\n Factor of Safety: 0.05\n Max Deflection: 7.96e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.66841131010924, "fos_buckling": 0.0502272754528892, "fos_yielding": 1.18524275808407, "deflection": 0.007962268215458217, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.222)" }, "parent_node_id": "node_1105", "improvement_over_parent": null }, "node_1107": { "node_id": "node_1107", "content": "MODIFICATION: Increase 9 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 143.77 kg\n Factor of Safety: 0.05\n Max Deflection: 7.61e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.7711679851758, "fos_buckling": 0.050162721982518414, "fos_yielding": 1.1837194516220675, "deflection": 0.007610990895954841, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.590)" }, "parent_node_id": "node_1106", "improvement_over_parent": null }, "node_1108": { "node_id": "node_1108", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 179.65 kg\n Factor of Safety: 0.06\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.651894459117, "fos_buckling": 0.060350501373905734, "fos_yielding": 1.4753901786710373, "deflection": 0.00610319867185176, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.274)" }, "parent_node_id": "node_1107", "improvement_over_parent": null }, "node_1109": { "node_id": "node_1109", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.2629487018777, "fos_buckling": 1.5675622686293764, "fos_yielding": 4.152028570681854, "deflection": 0.0014504766043499893, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_1108", "improvement_over_parent": null }, "node_1110": { "node_id": "node_1110", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1109", "improvement_over_parent": null }, "node_1111": { "node_id": "node_1111", "content": "INITIAL DESIGN (Trace 160)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n\nPerformance:\n Mass: 148.07 kg\n Factor of Safety: 1.07\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": 148.06838373366227, "fos_buckling": 1.067246224537517, "fos_yielding": 2.897954495978001, "deflection": 0.0022294527315480876, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1112": { "node_id": "node_1112", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 178.43 kg\n Factor of Safety: 1.25\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.42837331095515, "fos_buckling": 1.2520737158764812, "fos_yielding": 3.4907812238100493, "deflection": 0.0018583392465904708, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.221)" }, "parent_node_id": "node_1111", "improvement_over_parent": null }, "node_1113": { "node_id": "node_1113", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 214.50 kg\n Factor of Safety: 1.46\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.49759139843812, "fos_buckling": 1.4568654012355688, "fos_yielding": 4.194485006984582, "deflection": 0.0015539833214487048, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.222)" }, "parent_node_id": "node_1112", "improvement_over_parent": null }, "node_1114": { "node_id": "node_1114", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 218.05 kg\n Factor of Safety: 1.32\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.05199873413613, "fos_buckling": 1.3237531524816042, "fos_yielding": 4.136988390689493, "deflection": 0.0014968538101718203, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_1113", "improvement_over_parent": null }, "node_1115": { "node_id": "node_1115", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 223.23 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.2263416108648, "fos_buckling": 1.5678261910119777, "fos_yielding": 4.1507277640215685, "deflection": 0.0014506505640511337, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_1114", "improvement_over_parent": null }, "node_1116": { "node_id": "node_1116", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1115", "improvement_over_parent": null }, "node_1117": { "node_id": "node_1117", "content": "INITIAL DESIGN (Trace 161)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\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_1118": { "node_id": "node_1118", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n\nPerformance:\n Mass: 157.00 kg\n Factor of Safety: 0.12\n Max Deflection: 6.06e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.99981019770618, "fos_buckling": 0.1178997710433059, "fos_yielding": 1.6691813317030428, "deflection": 0.006060047541474968, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002299)" }, "parent_node_id": "node_1117", "improvement_over_parent": null }, "node_1119": { "node_id": "node_1119", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n\nPerformance:\n Mass: 160.22 kg\n Factor of Safety: 0.12\n Max Deflection: 6.05e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.21596389664256, "fos_buckling": 0.11785954823922608, "fos_yielding": 1.668611872126619, "deflection": 0.006046825644802491, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001765)" }, "parent_node_id": "node_1118", "improvement_over_parent": null }, "node_1120": { "node_id": "node_1120", "content": "MODIFICATION: Increase 9 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0025)]\n\nPerformance:\n Mass: 161.41 kg\n Factor of Safety: 0.12\n Max Deflection: 6.05e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.41192742643537, "fos_buckling": 0.11784459792909582, "fos_yielding": 1.668400211167893, "deflection": 0.006046430469059603, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.420)" }, "parent_node_id": "node_1119", "improvement_over_parent": null }, "node_1121": { "node_id": "node_1121", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 199.99 kg\n Factor of Safety: 1.43\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.99380145889302, "fos_buckling": 1.4300080430105115, "fos_yielding": 3.7520625042791087, "deflection": 0.0016059226375812036, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005115)" }, "parent_node_id": "node_1120", "improvement_over_parent": null }, "node_1122": { "node_id": "node_1122", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0028)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 221.11 kg\n Factor of Safety: 1.55\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 221.10858484559958, "fos_buckling": 1.552239231736659, "fos_yielding": 4.146530544642088, "deflection": 0.0014545159923930212, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.116)" }, "parent_node_id": "node_1121", "improvement_over_parent": null }, "node_1123": { "node_id": "node_1123", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1122", "improvement_over_parent": null }, "node_1124": { "node_id": "node_1124", "content": "INITIAL DESIGN (Trace 162)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0006)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0008)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0010)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n\nPerformance:\n Mass: 110.42 kg\n Factor of Safety: 0.63\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": 110.41704787031341, "fos_buckling": 0.6343352605012832, "fos_yielding": 2.2251240214045955, "deflection": 0.002782865434858942, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1125": { "node_id": "node_1125", "content": "MODIFICATION: Increase 3 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0006)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0010)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n\nPerformance:\n Mass: 111.30 kg\n Factor of Safety: 0.63\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": 111.3007180149099, "fos_buckling": 0.6341521494129492, "fos_yielding": 2.2251170590405027, "deflection": 0.0027831170880212868, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.490)" }, "parent_node_id": "node_1124", "improvement_over_parent": null }, "node_1126": { "node_id": "node_1126", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0006)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0010)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n\nPerformance:\n Mass: 118.02 kg\n Factor of Safety: 0.86\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": 118.02201983445586, "fos_buckling": 0.8594359236753014, "fos_yielding": 2.23258268592502, "deflection": 0.0027068741251745345, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.001588)" }, "parent_node_id": "node_1125", "improvement_over_parent": null }, "node_1127": { "node_id": "node_1127", "content": "MODIFICATION: Increase 5 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0006)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n\nPerformance:\n Mass: 118.89 kg\n Factor of Safety: 0.81\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": 118.88690460745794, "fos_buckling": 0.8080124451152392, "fos_yielding": 2.230318887710274, "deflection": 0.002695022400970657, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.372)" }, "parent_node_id": "node_1126", "improvement_over_parent": null }, "node_1128": { "node_id": "node_1128", "content": "MODIFICATION: Increase 2 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n\nPerformance:\n Mass: 119.57 kg\n Factor of Safety: 0.92\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": 119.57087426693589, "fos_buckling": 0.9159610652965273, "fos_yielding": 2.2274611824648662, "deflection": 0.002690528683751268, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.587)" }, "parent_node_id": "node_1127", "improvement_over_parent": null }, "node_1129": { "node_id": "node_1129", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n\nPerformance:\n Mass: 151.69 kg\n Factor of Safety: 1.13\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": 151.69351460592134, "fos_buckling": 1.131961731987988, "fos_yielding": 2.824244756420238, "deflection": 0.002125097714662867, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.285)" }, "parent_node_id": "node_1128", "improvement_over_parent": null }, "node_1130": { "node_id": "node_1130", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n\nPerformance:\n Mass: 182.00 kg\n Factor of Safety: 1.32\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.00494424230882, "fos_buckling": 1.3242354351256254, "fos_yielding": 3.3867510624862884, "deflection": 0.0017745743279969056, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.215)" }, "parent_node_id": "node_1129", "improvement_over_parent": null }, "node_1131": { "node_id": "node_1131", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.11 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.11465770651066, "fos_buckling": 1.5672035015518706, "fos_yielding": 4.148674570709904, "deflection": 0.0014513575139870893, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.248)" }, "parent_node_id": "node_1130", "improvement_over_parent": null }, "node_1132": { "node_id": "node_1132", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1131", "improvement_over_parent": null }, "node_1133": { "node_id": "node_1133", "content": "INITIAL DESIGN (Trace 163)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0006)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 148.61 kg\n Factor of Safety: 0.85\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": 148.61277072649844, "fos_buckling": 0.8514073001410353, "fos_yielding": 2.795547610338076, "deflection": 0.0021573989728607378, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1134": { "node_id": "node_1134", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0007)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 173.29 kg\n Factor of Safety: 0.98\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.28764418850136, "fos_buckling": 0.9756156299048926, "fos_yielding": 3.2581714351778475, "deflection": 0.0018531626815349873, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.178)" }, "parent_node_id": "node_1133", "improvement_over_parent": null }, "node_1135": { "node_id": "node_1135", "content": "MODIFICATION: Increase 2 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 173.99 kg\n Factor of Safety: 1.23\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.99305367022677, "fos_buckling": 1.2276199379170745, "fos_yielding": 3.2538266410366496, "deflection": 0.0018499592032921578, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.538)" }, "parent_node_id": "node_1134", "improvement_over_parent": null }, "node_1136": { "node_id": "node_1136", "content": "MODIFICATION: Increase 2 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 174.69 kg\n Factor of Safety: 1.28\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.69087660527367, "fos_buckling": 1.2788585433311026, "fos_yielding": 3.251086590074409, "deflection": 0.001848023033316787, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.359)" }, "parent_node_id": "node_1135", "improvement_over_parent": null }, "node_1137": { "node_id": "node_1137", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.23 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.22939628560025, "fos_buckling": 1.5678476206468719, "fos_yielding": 4.150812915418823, "deflection": 0.0014506240432984176, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.305)" }, "parent_node_id": "node_1136", "improvement_over_parent": null }, "node_1138": { "node_id": "node_1138", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1137", "improvement_over_parent": null }, "node_1139": { "node_id": "node_1139", "content": "INITIAL DESIGN (Trace 164)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\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_1140": { "node_id": "node_1140", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 202.10 kg\n Factor of Safety: 1.46\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.0981256305228, "fos_buckling": 1.4589535102226745, "fos_yielding": 4.19645566016795, "deflection": 0.0015438926523031553, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_1139", "improvement_over_parent": null }, "node_1141": { "node_id": "node_1141", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 214.65 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 214.64648325061904, "fos_buckling": 1.5232382311914219, "fos_yielding": 4.19645566016795, "deflection": 0.0014701569371880438, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_1140", "improvement_over_parent": null }, "node_1142": { "node_id": "node_1142", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.2595878653797, "fos_buckling": 1.5680110398324938, "fos_yielding": 4.151339310951526, "deflection": 0.0014504370044323108, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_1141", "improvement_over_parent": null }, "node_1143": { "node_id": "node_1143", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1142", "improvement_over_parent": null }, "node_1144": { "node_id": "node_1144", "content": "INITIAL DESIGN (Trace 165)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0034)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, 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_1145": { "node_id": "node_1145", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0034)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n\nPerformance:\n Mass: 155.70 kg\n Factor of Safety: 1.00\n Max Deflection: 1.07e+11 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.70066456238663, "fos_buckling": 0.998474242181765, "fos_yielding": 2.441695187236619, "deflection": 107089134183.13388, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001608)" }, "parent_node_id": "node_1144", "improvement_over_parent": null }, "node_1146": { "node_id": "node_1146", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0034)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 160.81 kg\n Factor of Safety: 1.00\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.80876535913148, "fos_buckling": 0.998474242181765, "fos_yielding": 2.441695187236619, "deflection": 0.0020006449567020364, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002095)" }, "parent_node_id": "node_1145", "improvement_over_parent": null }, "node_1147": { "node_id": "node_1147", "content": "MODIFICATION: Increase 1 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0034)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 165.16 kg\n Factor of Safety: 1.00\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.15694439404479, "fos_buckling": 0.998474242181765, "fos_yielding": 2.441695187236619, "deflection": 0.001857864199068141, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.458)" }, "parent_node_id": "node_1146", "improvement_over_parent": null }, "node_1148": { "node_id": "node_1148", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0034)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n\nPerformance:\n Mass: 169.45 kg\n Factor of Safety: 1.00\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.4522707323378, "fos_buckling": 0.998474242181765, "fos_yielding": 2.441695187236619, "deflection": 0.001766718589236308, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001940)" }, "parent_node_id": "node_1147", "improvement_over_parent": null }, "node_1149": { "node_id": "node_1149", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0034)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 176.60 kg\n Factor of Safety: 1.00\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.6011665748238, "fos_buckling": 0.9999690169054037, "fos_yielding": 2.445350548681634, "deflection": 0.0017724194292288882, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002094)" }, "parent_node_id": "node_1148", "improvement_over_parent": null }, "node_1150": { "node_id": "node_1150", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 212.92 kg\n Factor of Safety: 1.19\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.9185698267488, "fos_buckling": 1.1855756815338734, "fos_yielding": 2.9602693702544562, "deflection": 0.0014740690077382976, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.225)" }, "parent_node_id": "node_1149", "improvement_over_parent": null }, "node_1151": { "node_id": "node_1151", "content": "MODIFICATION: Increase 4 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0084)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 230.32 kg\n Factor of Safety: 1.19\n Max Deflection: 1.44e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 230.31653645029533, "fos_buckling": 1.1947076805178143, "fos_yielding": 2.9830711005045067, "deflection": 0.0014437635756977664, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.460)" }, "parent_node_id": "node_1150", "improvement_over_parent": null }, "node_1152": { "node_id": "node_1152", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1151", "improvement_over_parent": null }, "node_1153": { "node_id": "node_1153", "content": "INITIAL DESIGN (Trace 166)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0017)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 100.09 kg\n Factor of Safety: 0.04\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 100.08771638889883, "fos_buckling": 0.039697120888238346, "fos_yielding": 0.9069308859066266, "deflection": 0.010190723430153837, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1154": { "node_id": "node_1154", "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0017)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 103.08 kg\n Factor of Safety: 0.04\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 103.07702491610581, "fos_buckling": 0.039697120888238346, "fos_yielding": 0.9069308859066266, "deflection": 0.010190723430153837, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.202)" }, "parent_node_id": "node_1153", "improvement_over_parent": null }, "node_1155": { "node_id": "node_1155", "content": "MODIFICATION: Increase 1 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 106.59 kg\n Factor of Safety: 0.04\n Max Deflection: 9.97e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 106.5891356902583, "fos_buckling": 0.03968227450843142, "fos_yielding": 0.9065917016008249, "deflection": 0.009967871223187747, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.513)" }, "parent_node_id": "node_1154", "improvement_over_parent": null }, "node_1156": { "node_id": "node_1156", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 121.73 kg\n Factor of Safety: 0.04\n Max Deflection: 8.74e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.7280456495291, "fos_buckling": 0.04460828438662949, "fos_yielding": 1.0342546317655508, "deflection": 0.008735461690369782, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.151)" }, "parent_node_id": "node_1155", "improvement_over_parent": null }, "node_1157": { "node_id": "node_1157", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 146.00 kg\n Factor of Safety: 0.05\n Max Deflection: 7.29e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.995897396156, "fos_buckling": 0.05214001766544568, "fos_yielding": 1.2383344264897758, "deflection": 0.007293133793364646, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.215)" }, "parent_node_id": "node_1156", "improvement_over_parent": null }, "node_1158": { "node_id": "node_1158", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n\nPerformance:\n Mass: 150.32 kg\n Factor of Safety: 0.05\n Max Deflection: 7.28e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.32404120163068, "fos_buckling": 0.05211606436428997, "fos_yielding": 1.2377655314495108, "deflection": 0.007281094168456701, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001956)" }, "parent_node_id": "node_1157", "improvement_over_parent": null }, "node_1159": { "node_id": "node_1159", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n\nPerformance:\n Mass: 186.81 kg\n Factor of Safety: 1.35\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.80521826319227, "fos_buckling": 1.3536160430311828, "fos_yielding": 3.4760132666814862, "deflection": 0.001729399508396155, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004752)" }, "parent_node_id": "node_1158", "improvement_over_parent": null }, "node_1160": { "node_id": "node_1160", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.37 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.3727633980124, "fos_buckling": 1.5686099264685058, "fos_yielding": 4.153731975158831, "deflection": 0.0014496234360065318, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.215)" }, "parent_node_id": "node_1159", "improvement_over_parent": null }, "node_1161": { "node_id": "node_1161", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1160", "improvement_over_parent": null }, "node_1162": { "node_id": "node_1162", "content": "INITIAL DESIGN (Trace 167)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 173.06 kg\n Factor of Safety: 1.17\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.06286391408042, "fos_buckling": 1.1703466885016394, "fos_yielding": 3.4580040372781915, "deflection": 0.0018702091249861576, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1163": { "node_id": "node_1163", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n\nPerformance:\n Mass: 183.54 kg\n Factor of Safety: 1.28\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.54104518021364, "fos_buckling": 1.2803487132627236, "fos_yielding": 3.4713113301399585, "deflection": 0.0017975498755594226, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002544)" }, "parent_node_id": "node_1162", "improvement_over_parent": null }, "node_1164": { "node_id": "node_1164", "content": "MODIFICATION: Increase 1 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n\nPerformance:\n Mass: 186.42 kg\n Factor of Safety: 1.35\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.42178993904164, "fos_buckling": 1.351396319676909, "fos_yielding": 3.468804440646491, "deflection": 0.0017330776144843213, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.264)" }, "parent_node_id": "node_1163", "improvement_over_parent": null }, "node_1165": { "node_id": "node_1165", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25642444887117, "fos_buckling": 1.5680905084777566, "fos_yielding": 4.151462290201758, "deflection": 0.0014505019721732274, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.217)" }, "parent_node_id": "node_1164", "improvement_over_parent": null }, "node_1166": { "node_id": "node_1166", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1165", "improvement_over_parent": null }, "node_1167": { "node_id": "node_1167", "content": "INITIAL DESIGN (Trace 168)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 159.29 kg\n Factor of Safety: 1.18\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.29218380001555, "fos_buckling": 1.181205126441573, "fos_yielding": 2.9653155149561896, "deflection": 0.0020247047659606226, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1168": { "node_id": "node_1168", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 176.50 kg\n Factor of Safety: 1.29\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.50390744109936, "fos_buckling": 1.2901626056316127, "fos_yielding": 3.284711139504593, "deflection": 0.0018292535268856279, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.116)" }, "parent_node_id": "node_1167", "improvement_over_parent": null }, "node_1169": { "node_id": "node_1169", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 198.95 kg\n Factor of Safety: 1.43\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.94842687556852, "fos_buckling": 1.426842007979087, "fos_yielding": 3.700916039309904, "deflection": 0.0016251839182508609, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.138)" }, "parent_node_id": "node_1168", "improvement_over_parent": null }, "node_1170": { "node_id": "node_1170", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.21 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.21033692556443, "fos_buckling": 1.5677357923748283, "fos_yielding": 4.150446962632346, "deflection": 0.0014507491590572711, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.134)" }, "parent_node_id": "node_1169", "improvement_over_parent": null }, "node_1171": { "node_id": "node_1171", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1170", "improvement_over_parent": null }, "node_1172": { "node_id": "node_1172", "content": "INITIAL DESIGN (Trace 169)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0029)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 166.69 kg\n Factor of Safety: 0.70\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.68625745990846, "fos_buckling": 0.7025695692937165, "fos_yielding": 3.4472269401822593, "deflection": 0.0021059503633983627, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1173": { "node_id": "node_1173", "content": "MODIFICATION: Increase 8 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0029)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 168.06 kg\n Factor of Safety: 0.64\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.05622462956657, "fos_buckling": 0.6438125811339852, "fos_yielding": 3.440094960055786, "deflection": 0.002099178909183457, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.252)" }, "parent_node_id": "node_1172", "improvement_over_parent": null }, "node_1174": { "node_id": "node_1174", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 200.29 kg\n Factor of Safety: 0.75\n Max Deflection: 1.76e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.29204596984027, "fos_buckling": 0.7457248372186608, "fos_yielding": 4.092955337953417, "deflection": 0.0017614816137285223, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.209)" }, "parent_node_id": "node_1173", "improvement_over_parent": null }, "node_1175": { "node_id": "node_1175", "content": "MODIFICATION: Increase 5 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 201.73 kg\n Factor of Safety: 0.68\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.73185365170627, "fos_buckling": 0.683185485241482, "fos_yielding": 4.084100554887085, "deflection": 0.0017457317525688889, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.479)" }, "parent_node_id": "node_1174", "improvement_over_parent": null }, "node_1176": { "node_id": "node_1176", "content": "MODIFICATION: Increase 0 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 205.48 kg\n Factor of Safety: 0.78\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.47752640524607, "fos_buckling": 0.7829343976281207, "fos_yielding": 4.097567685826081, "deflection": 0.0016885863239881895, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.290)" }, "parent_node_id": "node_1175", "improvement_over_parent": null }, "node_1177": { "node_id": "node_1177", "content": "MODIFICATION: Increase 5 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 206.97 kg\n Factor of Safety: 0.74\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.97396111001984, "fos_buckling": 0.7367262921264839, "fos_yielding": 4.091771630809558, "deflection": 0.0016789422143097827, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.353)" }, "parent_node_id": "node_1176", "improvement_over_parent": null }, "node_1178": { "node_id": "node_1178", "content": "MODIFICATION: Increase 7 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.15 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.15392306168445, "fos_buckling": 1.5674185308090265, "fos_yielding": 4.149438136777734, "deflection": 0.0014511496186542393, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.647)" }, "parent_node_id": "node_1177", "improvement_over_parent": null }, "node_1179": { "node_id": "node_1179", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1178", "improvement_over_parent": null }, "node_1180": { "node_id": "node_1180", "content": "INITIAL DESIGN (Trace 170)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 144.76 kg\n Factor of Safety: 1.03\n Max Deflection: 7.02e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.75537059847733, "fos_buckling": 1.0251429968490404, "fos_yielding": 2.7599075601028873, "deflection": 7017932412081.532, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1181": { "node_id": "node_1181", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 170.98 kg\n Factor of Safety: 0.07\n Max Deflection: 9.17e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.98079075238797, "fos_buckling": 0.0736147064061907, "fos_yielding": 1.1025534460480149, "deflection": 9167892834864.158, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.199)" }, "parent_node_id": "node_1180", "improvement_over_parent": null }, "node_1182": { "node_id": "node_1182", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 176.16 kg\n Factor of Safety: 0.25\n Max Deflection: 8.59e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.15513362911665, "fos_buckling": 0.25056785629111367, "fos_yielding": 1.7351423321739947, "deflection": 8593684772967.977, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_1181", "improvement_over_parent": null }, "node_1183": { "node_id": "node_1183", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 219.77 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 219.76618787187735, "fos_buckling": 1.5224517308179937, "fos_yielding": 4.196572081128729, "deflection": 0.0014702601680555436, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_1182", "improvement_over_parent": null }, "node_1184": { "node_id": "node_1184", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.32 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.32059520757537, "fos_buckling": 1.5684389207933145, "fos_yielding": 4.152764463812089, "deflection": 0.001450062937309781, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_1183", "improvement_over_parent": null }, "node_1185": { "node_id": "node_1185", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1184", "improvement_over_parent": null }, "node_1186": { "node_id": "node_1186", "content": "INITIAL DESIGN (Trace 171)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 129.00 kg\n Factor of Safety: 0.08\n Max Deflection: 1.95e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.99998054619908, "fos_buckling": 0.0764846151880601, "fos_yielding": 0.6800862433203844, "deflection": 19471828586590.742, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1187": { "node_id": "node_1187", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n\nPerformance:\n Mass: 131.79 kg\n Factor of Safety: 0.09\n Max Deflection: 1.23e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.78699868012654, "fos_buckling": 0.09189482477094753, "fos_yielding": 2.1625358968577, "deflection": 12323382538500.338, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001512)" }, "parent_node_id": "node_1186", "improvement_over_parent": null }, "node_1188": { "node_id": "node_1188", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 165.23 kg\n Factor of Safety: 1.11\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.22931264514085, "fos_buckling": 1.1097574317867855, "fos_yielding": 3.2479007538404447, "deflection": 0.0019015979079620349, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004383)" }, "parent_node_id": "node_1187", "improvement_over_parent": null }, "node_1189": { "node_id": "node_1189", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 210.69 kg\n Factor of Safety: 1.34\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.68654586600974, "fos_buckling": 1.3389461643235923, "fos_yielding": 4.137866860701778, "deflection": 0.00149601107710703, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.302)" }, "parent_node_id": "node_1188", "improvement_over_parent": null }, "node_1190": { "node_id": "node_1190", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.23 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.234903486106, "fos_buckling": 1.5678395495667667, "fos_yielding": 4.150969744709697, "deflection": 0.001450600032790831, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_1189", "improvement_over_parent": null }, "node_1191": { "node_id": "node_1191", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1190", "improvement_over_parent": null }, "node_1192": { "node_id": "node_1192", "content": "INITIAL DESIGN (Trace 172)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0007)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0009)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n\nPerformance:\n Mass: 113.29 kg\n Factor of Safety: 0.62\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": 113.29490898078582, "fos_buckling": 0.6213493242097187, "fos_yielding": 2.2594947548858753, "deflection": 0.00273761279671847, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1193": { "node_id": "node_1193", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0007)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0009)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n\nPerformance:\n Mass: 120.12 kg\n Factor of Safety: 0.81\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": 120.12126306634472, "fos_buckling": 0.8073275798259048, "fos_yielding": 2.265415180633293, "deflection": 0.002658358573761362, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.001614)" }, "parent_node_id": "node_1192", "improvement_over_parent": null }, "node_1194": { "node_id": "node_1194", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n\nPerformance:\n Mass: 139.58 kg\n Factor of Safety: 0.92\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": 139.57858377943296, "fos_buckling": 0.9227640679384047, "fos_yielding": 2.631292486004829, "deflection": 0.0022907211307922524, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.171)" }, "parent_node_id": "node_1193", "improvement_over_parent": null }, "node_1195": { "node_id": "node_1195", "content": "MODIFICATION: Increase 3 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n\nPerformance:\n Mass: 140.36 kg\n Factor of Safety: 0.94\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": 140.36098792228276, "fos_buckling": 0.9428603091119473, "fos_yielding": 2.631788254959717, "deflection": 0.002285990028428765, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.332)" }, "parent_node_id": "node_1194", "improvement_over_parent": null }, "node_1196": { "node_id": "node_1196", "content": "MODIFICATION: Increase 2 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n\nPerformance:\n Mass: 141.15 kg\n Factor of Safety: 1.06\n Max Deflection: 2.28e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.14906382411235, "fos_buckling": 1.062451375749485, "fos_yielding": 2.628477344667349, "deflection": 0.002282301891956841, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.570)" }, "parent_node_id": "node_1195", "improvement_over_parent": null }, "node_1197": { "node_id": "node_1197", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nPerformance:\n Mass: 179.25 kg\n Factor of Safety: 1.31\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.25137290097666, "fos_buckling": 1.3072308437272455, "fos_yielding": 3.335744779481823, "deflection": 0.0018014999072410224, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.290)" }, "parent_node_id": "node_1196", "improvement_over_parent": null }, "node_1198": { "node_id": "node_1198", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.17 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.17133193592807, "fos_buckling": 1.5675240880059198, "fos_yielding": 4.149806760606763, "deflection": 0.0014509769731416227, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.269)" }, "parent_node_id": "node_1197", "improvement_over_parent": null }, "node_1199": { "node_id": "node_1199", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1198", "improvement_over_parent": null }, "node_1200": { "node_id": "node_1200", "content": "INITIAL DESIGN (Trace 173)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 147.56 kg\n Factor of Safety: 1.14\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.55523395703503, "fos_buckling": 1.1378676063734694, "fos_yielding": 2.963024138452833, "deflection": 0.0020878919785750423, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1201": { "node_id": "node_1201", "content": "MODIFICATION: Increase 5 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 148.55 kg\n Factor of Safety: 1.14\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.55450919467705, "fos_buckling": 1.1376263811721214, "fos_yielding": 2.963024138452833, "deflection": 0.0020851099571173766, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.318)" }, "parent_node_id": "node_1200", "improvement_over_parent": null }, "node_1202": { "node_id": "node_1202", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 174.78 kg\n Factor of Safety: 1.31\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.77503711759095, "fos_buckling": 1.3070662765805565, "fos_yielding": 3.4843297800385136, "deflection": 0.0017757220400508873, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.190)" }, "parent_node_id": "node_1201", "improvement_over_parent": null }, "node_1203": { "node_id": "node_1203", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 181.92 kg\n Factor of Safety: 1.33\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.92393296007694, "fos_buckling": 1.3316489843406163, "fos_yielding": 3.447849893771368, "deflection": 0.0017514976116481185, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002094)" }, "parent_node_id": "node_1202", "improvement_over_parent": null }, "node_1204": { "node_id": "node_1204", "content": "MODIFICATION: Increase 9 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0066)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 195.46 kg\n Factor of Safety: 1.20\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.46411300419626, "fos_buckling": 1.196331723755372, "fos_yielding": 3.443657091655751, "deflection": 0.0016177447481740782, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.427)" }, "parent_node_id": "node_1203", "improvement_over_parent": null }, "node_1205": { "node_id": "node_1205", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0081)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 235.10 kg\n Factor of Safety: 1.39\n Max Deflection: 1.35e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 235.10081778088357, "fos_buckling": 1.3893812609150602, "fos_yielding": 4.146489083190607, "deflection": 0.0013485241681946475, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.225)" }, "parent_node_id": "node_1204", "improvement_over_parent": null }, "node_1206": { "node_id": "node_1206", "content": "MODIFICATION: Increase 2 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0081)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 235.59 kg\n Factor of Safety: 1.51\n Max Deflection: 1.35e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 235.59150481420144, "fos_buckling": 1.5103052209073735, "fos_yielding": 4.144409869531687, "deflection": 0.0013475739799305559, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.176)" }, "parent_node_id": "node_1205", "improvement_over_parent": null }, "node_1207": { "node_id": "node_1207", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 174)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0027)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0012)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n\nPerformance:\n Mass: 108.17 kg\n Factor of Safety: 0.83\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": 108.17151914685138, "fos_buckling": 0.8341777089822974, "fos_yielding": 2.0925793996894577, "deflection": 0.002940128652508224, "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 all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0032)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n\nPerformance:\n Mass: 124.56 kg\n Factor of Safety: 0.95\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": 124.55660845087323, "fos_buckling": 0.9472919097510482, "fos_yielding": 2.4088862281718, "deflection": 0.0025563612310742865, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.159)" }, "parent_node_id": "node_1208", "improvement_over_parent": null }, "node_1210": { "node_id": "node_1210", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 155.34 kg\n Factor of Safety: 1.15\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": 155.34363150124713, "fos_buckling": 1.1505252112002817, "fos_yielding": 3.0027305478909168, "deflection": 0.0020542491843312653, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.263)" }, "parent_node_id": "node_1209", "improvement_over_parent": null }, "node_1211": { "node_id": "node_1211", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n\nPerformance:\n Mass: 157.89 kg\n Factor of Safety: 1.18\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": 157.8868577958153, "fos_buckling": 1.17601045968271, "fos_yielding": 2.971642884445994, "deflection": 0.002025272069439357, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001371)" }, "parent_node_id": "node_1210", "improvement_over_parent": null }, "node_1212": { "node_id": "node_1212", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n\nPerformance:\n Mass: 183.97 kg\n Factor of Safety: 1.34\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.97278670296816, "fos_buckling": 1.3402995019789772, "fos_yielding": 3.4606169346149684, "deflection": 0.0017411338315389687, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.178)" }, "parent_node_id": "node_1211", "improvement_over_parent": null }, "node_1213": { "node_id": "node_1213", "content": "MODIFICATION: Increase 9 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0059)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n\nPerformance:\n Mass: 192.55 kg\n Factor of Safety: 1.35\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.54864380120793, "fos_buckling": 1.3540969676670722, "fos_yielding": 3.4574258459976526, "deflection": 0.0016490509842678812, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.266)" }, "parent_node_id": "node_1212", "improvement_over_parent": null }, "node_1214": { "node_id": "node_1214", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0072)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 230.90 kg\n Factor of Safety: 1.58\n Max Deflection: 1.38e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 230.9033428943717, "fos_buckling": 1.575031746043395, "fos_yielding": 4.147318041982826, "deflection": 0.0013788076364203657, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.220)" }, "parent_node_id": "node_1213", "improvement_over_parent": null }, "node_1215": { "node_id": "node_1215", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1214", "improvement_over_parent": null }, "node_1216": { "node_id": "node_1216", "content": "INITIAL DESIGN (Trace 175)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 115.69 kg\n Factor of Safety: 0.04\n Max Deflection: 9.19e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.68865333944584, "fos_buckling": 0.04266331001847354, "fos_yielding": 0.983336569538892, "deflection": 0.009188872594839501, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1217": { "node_id": "node_1217", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n\nPerformance:\n Mass: 144.60 kg\n Factor of Safety: 0.96\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": 144.60102112132907, "fos_buckling": 0.9599031996477471, "fos_yielding": 2.747338825174956, "deflection": 0.002245739183582761, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003706)" }, "parent_node_id": "node_1216", "improvement_over_parent": null }, "node_1218": { "node_id": "node_1218", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n\nPerformance:\n Mass: 148.03 kg\n Factor of Safety: 1.11\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": 148.0323610384993, "fos_buckling": 1.1079898165546, "fos_yielding": 2.7562992439102993, "deflection": 0.002177184589315598, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001526)" }, "parent_node_id": "node_1217", "improvement_over_parent": null }, "node_1219": { "node_id": "node_1219", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n\nPerformance:\n Mass: 173.99 kg\n Factor of Safety: 1.27\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.99312729579935, "fos_buckling": 1.2745112829800225, "fos_yielding": 3.2381743635096205, "deflection": 0.001855376629242479, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.188)" }, "parent_node_id": "node_1218", "improvement_over_parent": null }, "node_1220": { "node_id": "node_1220", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 223.29 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.2887870251023, "fos_buckling": 1.5682012090882975, "fos_yielding": 4.151954272115429, "deflection": 0.0014502621796351435, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.311)" }, "parent_node_id": "node_1219", "improvement_over_parent": null }, "node_1221": { "node_id": "node_1221", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1220", "improvement_over_parent": null }, "node_1222": { "node_id": "node_1222", "content": "INITIAL DESIGN (Trace 176)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0028)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 141.56 kg\n Factor of Safety: 0.70\n Max Deflection: 2.36e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.56193223891157, "fos_buckling": 0.7020513593142996, "fos_yielding": 2.74935510525534, "deflection": 0.002363137278601526, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1223": { "node_id": "node_1223", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 183.09 kg\n Factor of Safety: 0.87\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.08667615110096, "fos_buckling": 0.8745335241776911, "fos_yielding": 3.5508636984026167, "deflection": 0.0018302827569497333, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.316)" }, "parent_node_id": "node_1222", "improvement_over_parent": null }, "node_1224": { "node_id": "node_1224", "content": "MODIFICATION: Increase 7 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 192.37 kg\n Factor of Safety: 1.39\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.37409471134373, "fos_buckling": 1.3875363232343025, "fos_yielding": 3.5793244157489688, "deflection": 0.0016800962652392683, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.355)" }, "parent_node_id": "node_1223", "improvement_over_parent": null }, "node_1225": { "node_id": "node_1225", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.20 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.1962699703734, "fos_buckling": 1.5677607294938163, "fos_yielding": 4.150513041150639, "deflection": 0.0014508974532301713, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.176)" }, "parent_node_id": "node_1224", "improvement_over_parent": null }, "node_1226": { "node_id": "node_1226", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 177)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0022)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 123.57 kg\n Factor of Safety: 0.50\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": 123.56612352041353, "fos_buckling": 0.49702558396827645, "fos_yielding": 2.425256678824278, "deflection": 0.002676571549043169, "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 all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0028)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 153.64 kg\n Factor of Safety: 0.60\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": 153.64351802728245, "fos_buckling": 0.602206673590715, "fos_yielding": 3.018152121768397, "deflection": 0.002155436942971832, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.259)" }, "parent_node_id": "node_1227", "improvement_over_parent": null }, "node_1229": { "node_id": "node_1229", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 198.72 kg\n Factor of Safety: 0.75\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.71603886850863, "fos_buckling": 0.7488873322639663, "fos_yielding": 3.9091025745483448, "deflection": 0.0016697500348981217, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_1228", "improvement_over_parent": null }, "node_1230": { "node_id": "node_1230", "content": "MODIFICATION: Increase 7 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 213.53 kg\n Factor of Safety: 1.33\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.5329812233976, "fos_buckling": 1.3333078132924645, "fos_yielding": 3.8977433783981454, "deflection": 0.0014714147975140868, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.565)" }, "parent_node_id": "node_1229", "improvement_over_parent": null }, "node_1231": { "node_id": "node_1231", "content": "MODIFICATION: Increase 9 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 217.14 kg\n Factor of Safety: 1.33\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.1422554812733, "fos_buckling": 1.3295378338789865, "fos_yielding": 3.8867223582337953, "deflection": 0.0014677378244437992, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.443)" }, "parent_node_id": "node_1230", "improvement_over_parent": null }, "node_1232": { "node_id": "node_1232", "content": "MODIFICATION: Increase 6 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.17 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.16681087936928, "fos_buckling": 1.5676054928903576, "fos_yielding": 4.149843914860848, "deflection": 0.0014511386477807358, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.271)" }, "parent_node_id": "node_1231", "improvement_over_parent": null }, "node_1233": { "node_id": "node_1233", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1232", "improvement_over_parent": null }, "node_1234": { "node_id": "node_1234", "content": "INITIAL DESIGN (Trace 178)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 175.65 kg\n Factor of Safety: 1.32\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.65345560869065, "fos_buckling": 1.3180763323612101, "fos_yielding": 3.2687534468358046, "deflection": 0.002054809134044104, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1235": { "node_id": "node_1235", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 209.66 kg\n Factor of Safety: 1.52\n Max Deflection: 1.72e-03 m\n Status: FEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 209.6575860299689, "fos_buckling": 1.5240377213488028, "fos_yielding": 3.92145893210505, "deflection": 0.0017219148836705397, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.212)" }, "parent_node_id": "node_1234", "improvement_over_parent": null }, "node_1236": { "node_id": "node_1236", "content": "MODIFICATION: Increase 0 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 213.80 kg\n Factor of Safety: 1.52\n Max Deflection: 1.56e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 213.80470934625475, "fos_buckling": 1.523370557043246, "fos_yielding": 4.194274012738444, "deflection": 0.001561587022948964, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.468)" }, "parent_node_id": "node_1235", "improvement_over_parent": null }, "node_1237": { "node_id": "node_1237", "content": "MODIFICATION: Increase 0 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 218.12 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 218.12341479663462, "fos_buckling": 1.5226764102186734, "fos_yielding": 4.194274012738442, "deflection": 0.0014735805527099884, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.348)" }, "parent_node_id": "node_1236", "improvement_over_parent": null }, "node_1238": { "node_id": "node_1238", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 221.68 kg\n Factor of Safety: 1.52\n Max Deflection: 1.46e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 221.67782213233264, "fos_buckling": 1.51789084990975, "fos_yielding": 4.155147888991549, "deflection": 0.001456828995374619, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_1237", "improvement_over_parent": null }, "node_1239": { "node_id": "node_1239", "content": "MODIFICATION: Increase 5 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0078)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 231.43 kg\n Factor of Safety: 1.23\n Max Deflection: 1.44e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 231.43223547562917, "fos_buckling": 1.2337510030813237, "fos_yielding": 4.161117021242906, "deflection": 0.0014417108532296795, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.366)" }, "parent_node_id": "node_1238", "improvement_over_parent": null }, "node_1240": { "node_id": "node_1240", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 179)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 175.22 kg\n Factor of Safety: 1.04\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.2195592076848, "fos_buckling": 1.0351174591222878, "fos_yielding": 3.4091585474919643, "deflection": 0.0018183752869138216, "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 all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 215.65 kg\n Factor of Safety: 1.24\n Max Deflection: 1.48e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.6461574480552, "fos_buckling": 1.2382367387509146, "fos_yielding": 4.19255703038093, "deflection": 0.0014816435872705156, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.253)" }, "parent_node_id": "node_1241", "improvement_over_parent": null }, "node_1243": { "node_id": "node_1243", "content": "MODIFICATION: Increase 2 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 216.73 kg\n Factor of Safety: 1.50\n Max Deflection: 1.48e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.73289520216946, "fos_buckling": 1.496450077769209, "fos_yielding": 4.1925570303809305, "deflection": 0.0014774568769478544, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.389)" }, "parent_node_id": "node_1242", "improvement_over_parent": null }, "node_1244": { "node_id": "node_1244", "content": "MODIFICATION: Increase 4 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 218.49 kg\n Factor of Safety: 1.41\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.48585529291515, "fos_buckling": 1.4085594994417494, "fos_yielding": 4.19255703038093, "deflection": 0.0014746541341913283, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.437)" }, "parent_node_id": "node_1243", "improvement_over_parent": null }, "node_1245": { "node_id": "node_1245", "content": "MODIFICATION: Increase 2 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 219.57 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 219.57196894691018, "fos_buckling": 1.5216795719014087, "fos_yielding": 4.192557030380929, "deflection": 0.0014715081000111429, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.292)" }, "parent_node_id": "node_1244", "improvement_over_parent": null }, "node_1246": { "node_id": "node_1246", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.13 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.1263762826082, "fos_buckling": 1.5672445357101015, "fos_yielding": 4.148804306999081, "deflection": 0.0014512995881668786, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_1245", "improvement_over_parent": null }, "node_1247": { "node_id": "node_1247", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1246", "improvement_over_parent": null }, "node_1248": { "node_id": "node_1248", "content": "INITIAL DESIGN (Trace 180)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0025)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n\nPerformance:\n Mass: 121.67 kg\n Factor of Safety: 0.77\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": 121.66651579260379, "fos_buckling": 0.7694068203578802, "fos_yielding": 1.837160980968645, "deflection": 0.0025933273722547247, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1249": { "node_id": "node_1249", "content": "MODIFICATION: Increase 7 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0025)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n\nPerformance:\n Mass: 122.90 kg\n Factor of Safety: 0.77\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": 122.8979385579942, "fos_buckling": 0.7693465529404382, "fos_yielding": 1.8370170766714404, "deflection": 0.0025935837479750304, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.332)" }, "parent_node_id": "node_1248", "improvement_over_parent": null }, "node_1250": { "node_id": "node_1250", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0025)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n\nPerformance:\n Mass: 125.02 kg\n Factor of Safety: 0.77\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": 125.01679944653651, "fos_buckling": 0.7660578928070277, "fos_yielding": 1.8291645363547862, "deflection": 0.0025781880022410332, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001130)" }, "parent_node_id": "node_1249", "improvement_over_parent": null }, "node_1251": { "node_id": "node_1251", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0028)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n\nPerformance:\n Mass: 139.10 kg\n Factor of Safety: 0.85\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": 139.10088592887345, "fos_buckling": 0.8463577051073553, "fos_yielding": 2.0375623551011723, "deflection": 0.0023190523577680303, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.119)" }, "parent_node_id": "node_1250", "improvement_over_parent": null }, "node_1252": { "node_id": "node_1252", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n\nPerformance:\n Mass: 181.10 kg\n Factor of Safety: 1.08\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.09791483094298, "fos_buckling": 1.0784987106659079, "fos_yielding": 2.6622985283201333, "deflection": 0.0017856112283442178, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.325)" }, "parent_node_id": "node_1251", "improvement_over_parent": null }, "node_1253": { "node_id": "node_1253", "content": "MODIFICATION: Increase 4 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n\nPerformance:\n Mass: 182.91 kg\n Factor of Safety: 1.08\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.90651690184612, "fos_buckling": 1.0775812157713145, "fos_yielding": 2.660033671363458, "deflection": 0.001780095134779064, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.381)" }, "parent_node_id": "node_1252", "improvement_over_parent": null }, "node_1254": { "node_id": "node_1254", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0035)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 212.15 kg\n Factor of Safety: 1.23\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.1479889871962, "fos_buckling": 1.2313459749089195, "fos_yielding": 3.094284424517622, "deflection": 0.0015371417217640445, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.175)" }, "parent_node_id": "node_1253", "improvement_over_parent": null }, "node_1255": { "node_id": "node_1255", "content": "MODIFICATION: Increase 0 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0035)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 216.21 kg\n Factor of Safety: 1.24\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.2070162509285, "fos_buckling": 1.2368417421796958, "fos_yielding": 3.1080948948592293, "deflection": 0.0014669156085095614, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.321)" }, "parent_node_id": "node_1254", "improvement_over_parent": null }, "node_1256": { "node_id": "node_1256", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1255", "improvement_over_parent": null }, "node_1257": { "node_id": "node_1257", "content": "INITIAL DESIGN (Trace 181)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 204.72 kg\n Factor of Safety: 1.47\n Max Deflection: 1.60e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.72304510954194, "fos_buckling": 1.4732847377912734, "fos_yielding": 4.19645566016795, "deflection": 0.001597866931606459, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1258": { "node_id": "node_1258", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 213.34 kg\n Factor of Safety: 1.50\n Max Deflection: 1.60e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.3361497243026, "fos_buckling": 1.4983669213609732, "fos_yielding": 4.213996964961653, "deflection": 0.0015962927471928525, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_1257", "improvement_over_parent": null }, "node_1259": { "node_id": "node_1259", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 219.49 kg\n Factor of Safety: 1.45\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 219.48996446260043, "fos_buckling": 1.4481931223562274, "fos_yielding": 4.154716594841516, "deflection": 0.0015105466042940807, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_1258", "improvement_over_parent": null }, "node_1260": { "node_id": "node_1260", "content": "MODIFICATION: Increase 1 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.25 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25462818111205, "fos_buckling": 1.568043579593053, "fos_yielding": 4.151343231816255, "deflection": 0.0014505034954687495, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.300)" }, "parent_node_id": "node_1259", "improvement_over_parent": null }, "node_1261": { "node_id": "node_1261", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1260", "improvement_over_parent": null }, "node_1262": { "node_id": "node_1262", "content": "INITIAL DESIGN (Trace 182)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\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_1263": { "node_id": "node_1263", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 130.80 kg\n Factor of Safety: 0.07\n Max Deflection: 2.06e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.80033662174435, "fos_buckling": 0.07361935371469458, "fos_yielding": 0.8423901516097635, "deflection": 20644691153782.773, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_1262", "improvement_over_parent": null }, "node_1264": { "node_id": "node_1264", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 135.97 kg\n Factor of Safety: 0.05\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.97467949847302, "fos_buckling": 0.04540887556158033, "fos_yielding": 1.0553320271380366, "deflection": 0.011711753909450465, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_1263", "improvement_over_parent": null }, "node_1265": { "node_id": "node_1265", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 178.63 kg\n Factor of Safety: 0.05\n Max Deflection: 6.67e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.62664784984642, "fos_buckling": 0.04520370486889786, "fos_yielding": 1.0505637257797642, "deflection": 0.00667077749314527, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_1264", "improvement_over_parent": null }, "node_1266": { "node_id": "node_1266", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 222.24 kg\n Factor of Safety: 1.45\n Max Deflection: 1.45e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 222.23770209260712, "fos_buckling": 1.4516722452563615, "fos_yielding": 4.155646474364814, "deflection": 0.0014522171414350698, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_1265", "improvement_over_parent": null }, "node_1267": { "node_id": "node_1267", "content": "MODIFICATION: Increase 2 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.26389314260274, "fos_buckling": 1.568084491466033, "fos_yielding": 4.151343939549269, "deflection": 0.0014503989936754075, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.445)" }, "parent_node_id": "node_1266", "improvement_over_parent": null }, "node_1268": { "node_id": "node_1268", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1267", "improvement_over_parent": null }, "node_1269": { "node_id": "node_1269", "content": "INITIAL DESIGN (Trace 183)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n\nPerformance:\n Mass: 140.04 kg\n Factor of Safety: 0.78\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": 140.04430544429624, "fos_buckling": 0.7833383231909783, "fos_yielding": 3.0841053639390985, "deflection": 0.00255824185137362, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1270": { "node_id": "node_1270", "content": "MODIFICATION: Increase 0 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n\nPerformance:\n Mass: 144.15 kg\n Factor of Safety: 0.78\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": 144.15114781415244, "fos_buckling": 0.782996682687593, "fos_yielding": 3.0833024171888996, "deflection": 0.0023899651069919257, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.481)" }, "parent_node_id": "node_1269", "improvement_over_parent": null }, "node_1271": { "node_id": "node_1271", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n\nPerformance:\n Mass: 171.71 kg\n Factor of Safety: 0.92\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": 171.70605502849222, "fos_buckling": 0.9198182328575487, "fos_yielding": 3.6664463437351436, "deflection": 0.00200656011482012, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.206)" }, "parent_node_id": "node_1270", "improvement_over_parent": null }, "node_1272": { "node_id": "node_1272", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 196.08 kg\n Factor of Safety: 1.04\n Max Deflection: 1.76e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.07736552941859, "fos_buckling": 1.0373816592409995, "fos_yielding": 4.180409140623088, "deflection": 0.0017571798981525681, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.155)" }, "parent_node_id": "node_1271", "improvement_over_parent": null }, "node_1273": { "node_id": "node_1273", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 201.25 kg\n Factor of Safety: 1.08\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.25170840614726, "fos_buckling": 1.0835749585674288, "fos_yielding": 4.235098129293452, "deflection": 0.0017470640867328906, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_1272", "improvement_over_parent": null }, "node_1274": { "node_id": "node_1274", "content": "MODIFICATION: Increase 9 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0037)]\n\nPerformance:\n Mass: 203.65 kg\n Factor of Safety: 1.08\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.64624972626908, "fos_buckling": 1.0849688492452054, "fos_yielding": 4.237002330534968, "deflection": 0.0017471307763237474, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.538)" }, "parent_node_id": "node_1273", "improvement_over_parent": null }, "node_1275": { "node_id": "node_1275", "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0037)]\n\nPerformance:\n Mass: 206.88 kg\n Factor of Safety: 1.09\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.8802909284151, "fos_buckling": 1.08708374283644, "fos_yielding": 4.238952772795753, "deflection": 0.001746653326364886, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.292)" }, "parent_node_id": "node_1274", "improvement_over_parent": null }, "node_1276": { "node_id": "node_1276", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 213.03 kg\n Factor of Safety: 1.10\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.03410566671292, "fos_buckling": 1.1027832543601976, "fos_yielding": 4.168683976480446, "deflection": 0.0016115799297421456, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_1275", "improvement_over_parent": null }, "node_1277": { "node_id": "node_1277", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1276", "improvement_over_parent": null }, "node_1278": { "node_id": "node_1278", "content": "INITIAL DESIGN (Trace 184)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 191.18 kg\n Factor of Safety: 1.34\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.17980374641985, "fos_buckling": 1.3445939445640533, "fos_yielding": 3.761077032864372, "deflection": 0.0017823875727242533, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1279": { "node_id": "node_1279", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 213.14 kg\n Factor of Safety: 1.47\n Max Deflection: 1.60e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.13630832591207, "fos_buckling": 1.470203675696538, "fos_yielding": 4.1905323008396715, "deflection": 0.0015997962161369218, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.126)" }, "parent_node_id": "node_1278", "improvement_over_parent": null }, "node_1280": { "node_id": "node_1280", "content": "MODIFICATION: Increase 0 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 217.11 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.10522881793366, "fos_buckling": 1.48453135282108, "fos_yielding": 4.202085026282352, "deflection": 0.0015205763721412857, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.312)" }, "parent_node_id": "node_1279", "improvement_over_parent": null }, "node_1281": { "node_id": "node_1281", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.2590435562315, "fos_buckling": 1.568046651514075, "fos_yielding": 4.151450973653745, "deflection": 0.0014504898974005238, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_1280", "improvement_over_parent": null }, "node_1282": { "node_id": "node_1282", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 185)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 193.27 kg\n Factor of Safety: 1.10\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.27313517455892, "fos_buckling": 1.100433041575949, "fos_yielding": 4.195107600608034, "deflection": 0.0017682186174016899, "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 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 196.83 kg\n Factor of Safety: 0.74\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.82754251025693, "fos_buckling": 0.7413622082641934, "fos_yielding": 4.094230676976667, "deflection": 0.0016707331744797648, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_1283", "improvement_over_parent": null }, "node_1285": { "node_id": "node_1285", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 209.38 kg\n Factor of Safety: 0.83\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.3759001303532, "fos_buckling": 0.8340251514097965, "fos_yielding": 4.105097471563399, "deflection": 0.0016323881481160908, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_1284", "improvement_over_parent": null }, "node_1286": { "node_id": "node_1286", "content": "MODIFICATION: Increase 7 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0039)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 213.19 kg\n Factor of Safety: 0.72\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.1864621428247, "fos_buckling": 0.7234814567115802, "fos_yielding": 4.090855451755192, "deflection": 0.0016238028550041622, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.513)" }, "parent_node_id": "node_1285", "improvement_over_parent": null }, "node_1287": { "node_id": "node_1287", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1286", "improvement_over_parent": null }, "node_1288": { "node_id": "node_1288", "content": "INITIAL DESIGN (Trace 186)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n\nPerformance:\n Mass: 101.40 kg\n Factor of Safety: 0.07\n Max Deflection: 2.38e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 101.40456337233996, "fos_buckling": 0.0688783486923024, "fos_yielding": 1.08126794842885, "deflection": 23781561216893.9, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1289": { "node_id": "node_1289", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nPerformance:\n Mass: 131.55 kg\n Factor of Safety: 0.62\n Max Deflection: 1.25e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.54850828259598, "fos_buckling": 0.6222710289899107, "fos_yielding": 2.0046290694664397, "deflection": 12518785488161.904, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_1288", "improvement_over_parent": null }, "node_1290": { "node_id": "node_1290", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 165.94 kg\n Factor of Safety: 0.26\n Max Deflection: 6.76e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.93666765424666, "fos_buckling": 0.25744689253233316, "fos_yielding": 2.929165577516764, "deflection": 6763609975234.921, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.287)" }, "parent_node_id": "node_1289", "improvement_over_parent": null }, "node_1291": { "node_id": "node_1291", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 208.59 kg\n Factor of Safety: 1.47\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.58863600562006, "fos_buckling": 1.4739547724408413, "fos_yielding": 4.1988253729347695, "deflection": 0.001520026709614646, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_1290", "improvement_over_parent": null }, "node_1292": { "node_id": "node_1292", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 217.20 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.20174062038072, "fos_buckling": 1.4846316490405749, "fos_yielding": 4.2043720052389535, "deflection": 0.0015199041311915451, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_1291", "improvement_over_parent": null }, "node_1293": { "node_id": "node_1293", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.36 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.35555535867854, "fos_buckling": 1.5681678279955167, "fos_yielding": 4.153711803034863, "deflection": 0.0014498420720512532, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_1292", "improvement_over_parent": null }, "node_1294": { "node_id": "node_1294", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1293", "improvement_over_parent": null }, "node_1295": { "node_id": "node_1295", "content": "INITIAL DESIGN (Trace 187)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 114.68 kg\n Factor of Safety: 0.03\n Max Deflection: 1.00e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.67642263224522, "fos_buckling": 0.034127229646884985, "fos_yielding": 0.7676106775198737, "deflection": 0.01000799967880454, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1296": { "node_id": "node_1296", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 143.61 kg\n Factor of Safety: 0.04\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": 143.61140980872787, "fos_buckling": 0.04184084562920489, "fos_yielding": 0.9622790465028344, "deflection": 0.007998414710954816, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.271)" }, "parent_node_id": "node_1295", "improvement_over_parent": null }, "node_1297": { "node_id": "node_1297", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n\nPerformance:\n Mass: 178.58 kg\n Factor of Safety: 1.31\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.5796066879498, "fos_buckling": 1.3071474749560887, "fos_yielding": 3.335659912458049, "deflection": 0.001804283859072999, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004540)" }, "parent_node_id": "node_1296", "improvement_over_parent": null }, "node_1298": { "node_id": "node_1298", "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n\nPerformance:\n Mass: 179.12 kg\n Factor of Safety: 1.31\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.12177027409336, "fos_buckling": 1.3065442423027622, "fos_yielding": 3.333629464560097, "deflection": 0.001802931120113627, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.252)" }, "parent_node_id": "node_1297", "improvement_over_parent": null }, "node_1299": { "node_id": "node_1299", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.33 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.33305238844258, "fos_buckling": 1.568569678898228, "fos_yielding": 4.153153281483316, "deflection": 0.0014500528492518766, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.271)" }, "parent_node_id": "node_1298", "improvement_over_parent": null }, "node_1300": { "node_id": "node_1300", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1299", "improvement_over_parent": null }, "node_1301": { "node_id": "node_1301", "content": "INITIAL DESIGN (Trace 188)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n\nPerformance:\n Mass: 119.86 kg\n Factor of Safety: 0.01\n Max Deflection: 1.87e+14 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.86052562109226, "fos_buckling": 0.005819171959468502, "fos_yielding": 0.13515849355360626, "deflection": 187384400166731.44, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1302": { "node_id": "node_1302", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n\nPerformance:\n Mass: 124.22 kg\n Factor of Safety: 0.09\n Max Deflection: 1.06e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.21813255621609, "fos_buckling": 0.08794824884823997, "fos_yielding": 1.7894190211293795, "deflection": 10628197914130.668, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001767)" }, "parent_node_id": "node_1301", "improvement_over_parent": null }, "node_1303": { "node_id": "node_1303", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n\nPerformance:\n Mass: 157.41 kg\n Factor of Safety: 1.38\n Max Deflection: 4.11e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.41260910051452, "fos_buckling": 1.3823374027422686, "fos_yielding": 3.579040338157414, "deflection": 4106630434665.921, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.290)" }, "parent_node_id": "node_1302", "improvement_over_parent": null }, "node_1304": { "node_id": "node_1304", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 175.46 kg\n Factor of Safety: 0.35\n Max Deflection: 3.40e+12 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.4613434473828, "fos_buckling": 0.35379151899094763, "fos_yielding": 4.193053182358797, "deflection": 3396006287404.713, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.126)" }, "parent_node_id": "node_1303", "improvement_over_parent": null }, "node_1305": { "node_id": "node_1305", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 218.11 kg\n Factor of Safety: 1.32\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.1133117987562, "fos_buckling": 1.3240370290079189, "fos_yielding": 4.138206353459508, "deflection": 0.001496467684167772, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_1304", "improvement_over_parent": null }, "node_1306": { "node_id": "node_1306", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 223.29 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.28765467548487, "fos_buckling": 1.5681102798431719, "fos_yielding": 4.151949587913212, "deflection": 0.0014502660784481885, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_1305", "improvement_over_parent": null }, "node_1307": { "node_id": "node_1307", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1306", "improvement_over_parent": null }, "node_1308": { "node_id": "node_1308", "content": "INITIAL DESIGN (Trace 189)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0023)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n\nPerformance:\n Mass: 94.08 kg\n Factor of Safety: 0.08\n Max Deflection: 9.07e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 94.08445416820093, "fos_buckling": 0.08128893158807268, "fos_yielding": 1.271184878099052, "deflection": 0.00907071263037907, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1309": { "node_id": "node_1309", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n\nPerformance:\n Mass: 118.66 kg\n Factor of Safety: 0.10\n Max Deflection: 7.20e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 118.66395904740398, "fos_buckling": 0.09956372041632303, "fos_yielding": 1.5979294161594693, "deflection": 0.00720196411573745, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.277)" }, "parent_node_id": "node_1308", "improvement_over_parent": null }, "node_1310": { "node_id": "node_1310", "content": "MODIFICATION: Increase 9 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n\nPerformance:\n Mass: 120.04 kg\n Factor of Safety: 0.10\n Max Deflection: 6.82e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.03838295396898, "fos_buckling": 0.09954917883062855, "fos_yielding": 1.5976960336839887, "deflection": 0.006817631341853407, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.185)" }, "parent_node_id": "node_1309", "improvement_over_parent": null }, "node_1311": { "node_id": "node_1311", "content": "MODIFICATION: Increase 4 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n\nPerformance:\n Mass: 127.63 kg\n Factor of Safety: 0.10\n Max Deflection: 6.82e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.63497797531808, "fos_buckling": 0.09954917883062853, "fos_yielding": 1.5976960336839883, "deflection": 0.006823598456988055, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.441)" }, "parent_node_id": "node_1310", "improvement_over_parent": null }, "node_1312": { "node_id": "node_1312", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 159.26 kg\n Factor of Safety: 0.94\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": 159.26408673462598, "fos_buckling": 0.9359855636596907, "fos_yielding": 2.6150208189604394, "deflection": 0.0019839199300929573, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004129)" }, "parent_node_id": "node_1311", "improvement_over_parent": null }, "node_1313": { "node_id": "node_1313", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 195.12 kg\n Factor of Safety: 1.13\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.1206189176873, "fos_buckling": 1.126739599397018, "fos_yielding": 3.213985814602624, "deflection": 0.0016234121631295488, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.244)" }, "parent_node_id": "node_1312", "improvement_over_parent": null }, "node_1314": { "node_id": "node_1314", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 215.07 kg\n Factor of Safety: 1.23\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.06673800177788, "fos_buckling": 1.2296257533112571, "fos_yielding": 3.54920016063453, "deflection": 0.0014749139163589696, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.112)" }, "parent_node_id": "node_1313", "improvement_over_parent": null }, "node_1315": { "node_id": "node_1315", "content": "MODIFICATION: Increase 6 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.31 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.31120319423684, "fos_buckling": 1.5686358244783076, "fos_yielding": 4.153174678296479, "deflection": 0.0014500216153679427, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.408)" }, "parent_node_id": "node_1314", "improvement_over_parent": null }, "node_1316": { "node_id": "node_1316", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1315", "improvement_over_parent": null }, "node_1317": { "node_id": "node_1317", "content": "INITIAL DESIGN (Trace 190)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 125.60 kg\n Factor of Safety: 0.54\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": 125.60212651201815, "fos_buckling": 0.5426659957018353, "fos_yielding": 0.8247863701597623, "deflection": 17704822467784.863, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1318": { "node_id": "node_1318", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 155.62 kg\n Factor of Safety: 0.00\n Max Deflection: 5.21e+14 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.6192037514801, "fos_buckling": 0.004697688249412226, "fos_yielding": 0.05930268046233893, "deflection": 521248630235027.7, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.259)" }, "parent_node_id": "node_1317", "improvement_over_parent": null }, "node_1319": { "node_id": "node_1319", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n\nPerformance:\n Mass: 158.76 kg\n Factor of Safety: 0.05\n Max Deflection: 6.90e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.76317383874198, "fos_buckling": 0.05458781065630172, "fos_yielding": 1.3073849120300995, "deflection": 0.006896673989540397, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001722)" }, "parent_node_id": "node_1318", "improvement_over_parent": null }, "node_1320": { "node_id": "node_1320", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 179.57 kg\n Factor of Safety: 0.06\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.57129943503747, "fos_buckling": 0.06038833833280709, "fos_yielding": 1.476538198100295, "deflection": 0.006104663859569853, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_1319", "improvement_over_parent": null }, "node_1321": { "node_id": "node_1321", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.18 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.18235367779818, "fos_buckling": 1.5674449993601804, "fos_yielding": 4.149512313370292, "deflection": 0.001450877915280336, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_1320", "improvement_over_parent": null }, "node_1322": { "node_id": "node_1322", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1321", "improvement_over_parent": null }, "node_1323": { "node_id": "node_1323", "content": "INITIAL DESIGN (Trace 191)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n\nPerformance:\n Mass: 140.38 kg\n Factor of Safety: 1.05\n Max Deflection: 2.26e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.38204507976894, "fos_buckling": 1.0508821543759068, "fos_yielding": 2.84542693449482, "deflection": 0.002263942750284183, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1324": { "node_id": "node_1324", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0045)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0043)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n\nPerformance:\n Mass: 156.66 kg\n Factor of Safety: 1.16\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": 156.6558009422344, "fos_buckling": 1.1555805852163712, "fos_yielding": 3.1745903450693462, "deflection": 0.0020331779432799266, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.124)" }, "parent_node_id": "node_1323", "improvement_over_parent": null }, "node_1325": { "node_id": "node_1325", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0045)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0043)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n\nPerformance:\n Mass: 166.14 kg\n Factor of Safety: 1.21\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.13765102208333, "fos_buckling": 1.2068846199983272, "fos_yielding": 3.1745903450693467, "deflection": 0.0019376489965184608, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002285)" }, "parent_node_id": "node_1324", "improvement_over_parent": null }, "node_1326": { "node_id": "node_1326", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n\nPerformance:\n Mass: 198.56 kg\n Factor of Safety: 1.40\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.55889196441512, "fos_buckling": 1.4021201583046026, "fos_yielding": 3.792546174092437, "deflection": 0.0016248446628342348, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.212)" }, "parent_node_id": "node_1325", "improvement_over_parent": null }, "node_1327": { "node_id": "node_1327", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n\nPerformance:\n Mass: 201.77 kg\n Factor of Safety: 1.44\n Max Deflection: 1.60e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.7716951191479, "fos_buckling": 1.4436246980801033, "fos_yielding": 3.7534161235625594, "deflection": 0.0016026711293356888, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001763)" }, "parent_node_id": "node_1326", "improvement_over_parent": null }, "node_1328": { "node_id": "node_1328", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.25 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.2531680877617, "fos_buckling": 1.5680002100962973, "fos_yielding": 4.151425955493194, "deflection": 0.0014504231281499162, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.117)" }, "parent_node_id": "node_1327", "improvement_over_parent": null }, "node_1329": { "node_id": "node_1329", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1328", "improvement_over_parent": null }, "node_1330": { "node_id": "node_1330", "content": "INITIAL DESIGN (Trace 192)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0018)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 134.03 kg\n Factor of Safety: 0.89\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": 134.02793708137426, "fos_buckling": 0.8865006787314207, "fos_yielding": 2.557993838538908, "deflection": 0.00249437021889988, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1331": { "node_id": "node_1331", "content": "MODIFICATION: Increase 1 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 137.20 kg\n Factor of Safety: 1.04\n Max Deflection: 2.35e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.20013006487244, "fos_buckling": 1.035977697881835, "fos_yielding": 2.5549452860479853, "deflection": 0.002347336606886059, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.439)" }, "parent_node_id": "node_1330", "improvement_over_parent": null }, "node_1332": { "node_id": "node_1332", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 173.31 kg\n Factor of Safety: 1.27\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.31391255335643, "fos_buckling": 1.270141685277397, "fos_yielding": 3.2253771439080188, "deflection": 0.001862464712104726, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.282)" }, "parent_node_id": "node_1331", "improvement_over_parent": null }, "node_1333": { "node_id": "node_1333", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.21 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.20988577021956, "fos_buckling": 1.5676174315493911, "fos_yielding": 4.150247295846884, "deflection": 0.001450689217289619, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.316)" }, "parent_node_id": "node_1332", "improvement_over_parent": null }, "node_1334": { "node_id": "node_1334", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 193)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0024)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 131.92 kg\n Factor of Safety: 0.59\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": 131.9189014125927, "fos_buckling": 0.5946590029823642, "fos_yielding": 2.5828297476421787, "deflection": 0.0025655309534518187, "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 all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0032)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 171.19 kg\n Factor of Safety: 0.75\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.18737750277538, "fos_buckling": 0.7459712054330883, "fos_yielding": 3.3470488078143137, "deflection": 0.0019797054980247738, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_1335", "improvement_over_parent": null }, "node_1337": { "node_id": "node_1337", "content": "MODIFICATION: Increase 7 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 181.71 kg\n Factor of Safety: 1.32\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.71156675784025, "fos_buckling": 1.3223698971237594, "fos_yielding": 3.381167083101459, "deflection": 0.0017773747644753404, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.453)" }, "parent_node_id": "node_1336", "improvement_over_parent": null }, "node_1338": { "node_id": "node_1338", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.09 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.08707067583077, "fos_buckling": 1.566982883887342, "fos_yielding": 4.147992239126856, "deflection": 0.0014515089413428613, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.250)" }, "parent_node_id": "node_1337", "improvement_over_parent": null }, "node_1339": { "node_id": "node_1339", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1338", "improvement_over_parent": null }, "node_1340": { "node_id": "node_1340", "content": "INITIAL DESIGN (Trace 194)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n\nPerformance:\n Mass: 137.86 kg\n Factor of Safety: 0.83\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": 137.86110831353224, "fos_buckling": 0.8340130185568952, "fos_yielding": 2.8224148613680358, "deflection": 0.0024968075802626485, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1341": { "node_id": "node_1341", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n\nPerformance:\n Mass: 141.97 kg\n Factor of Safety: 0.88\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": 141.96526591571998, "fos_buckling": 0.8778684674252116, "fos_yielding": 2.7768567938414503, "deflection": 0.0023419176505956488, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001658)" }, "parent_node_id": "node_1340", "improvement_over_parent": null }, "node_1342": { "node_id": "node_1342", "content": "MODIFICATION: Increase 10 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 143.26 kg\n Factor of Safety: 0.83\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": 143.26168236263467, "fos_buckling": 0.8347432551965446, "fos_yielding": 2.773401556474897, "deflection": 0.002330472652888101, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.342)" }, "parent_node_id": "node_1341", "improvement_over_parent": null }, "node_1343": { "node_id": "node_1343", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0029)]\n\nPerformance:\n Mass: 181.71 kg\n Factor of Safety: 1.02\n Max Deflection: 1.84e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.7057502771917, "fos_buckling": 1.024781561154038, "fos_yielding": 3.5136722473724187, "deflection": 0.0018404828978066706, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.289)" }, "parent_node_id": "node_1342", "improvement_over_parent": null }, "node_1344": { "node_id": "node_1344", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0034)]\n\nPerformance:\n Mass: 215.21 kg\n Factor of Safety: 1.18\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.20632264650024, "fos_buckling": 1.1792048917529783, "fos_yielding": 4.157286526342296, "deflection": 0.0015561766543355734, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.202)" }, "parent_node_id": "node_1343", "improvement_over_parent": null }, "node_1345": { "node_id": "node_1345", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1344", "improvement_over_parent": null }, "node_1346": { "node_id": "node_1346", "content": "INITIAL DESIGN (Trace 195)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0035)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 148.71 kg\n Factor of Safety: 1.03\n Max Deflection: 2.14e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.70520795135982, "fos_buckling": 1.0308366502401771, "fos_yielding": 2.528326899461751, "deflection": 0.002143909959877786, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1347": { "node_id": "node_1347", "content": "MODIFICATION: Increase 3 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0035)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 149.70 kg\n Factor of Safety: 1.03\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": 149.70315422052383, "fos_buckling": 1.0311891218535998, "fos_yielding": 2.5291914044842545, "deflection": 0.002144110808839916, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.399)" }, "parent_node_id": "node_1346", "improvement_over_parent": null }, "node_1348": { "node_id": "node_1348", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 177.79 kg\n Factor of Safety: 1.20\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.78673809733118, "fos_buckling": 1.2026689490452394, "fos_yielding": 3.0072518744392127, "deflection": 0.0018083746728291147, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.202)" }, "parent_node_id": "node_1347", "improvement_over_parent": null }, "node_1349": { "node_id": "node_1349", "content": "MODIFICATION: Increase 4 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 182.23 kg\n Factor of Safety: 1.28\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.23019272895044, "fos_buckling": 1.2840496990961547, "fos_yielding": 3.529794196517637, "deflection": 0.0018085953946917863, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.192)" }, "parent_node_id": "node_1348", "improvement_over_parent": null }, "node_1350": { "node_id": "node_1350", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 187.39 kg\n Factor of Safety: 1.36\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.39474593529553, "fos_buckling": 1.3572296446486731, "fos_yielding": 3.4869480677405336, "deflection": 0.0017241428642466238, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002120)" }, "parent_node_id": "node_1349", "improvement_over_parent": null }, "node_1351": { "node_id": "node_1351", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.39 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.39398740629565, "fos_buckling": 1.5687565518763964, "fos_yielding": 4.154126979780214, "deflection": 0.0014495863636765122, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.211)" }, "parent_node_id": "node_1350", "improvement_over_parent": null }, "node_1352": { "node_id": "node_1352", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1351", "improvement_over_parent": null }, "node_1353": { "node_id": "node_1353", "content": "INITIAL DESIGN (Trace 196)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 158.69 kg\n Factor of Safety: 1.14\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": 158.6936608668056, "fos_buckling": 1.1406272042479189, "fos_yielding": 3.075200798285988, "deflection": 0.0020745355489193832, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1354": { "node_id": "node_1354", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n\nPerformance:\n Mass: 163.19 kg\n Factor of Safety: 1.21\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.1922252732728, "fos_buckling": 1.2062081420028996, "fos_yielding": 3.0376853444710257, "deflection": 0.0019768098606301942, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001828)" }, "parent_node_id": "node_1353", "improvement_over_parent": null }, "node_1355": { "node_id": "node_1355", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 196.33 kg\n Factor of Safety: 1.41\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.33039960562277, "fos_buckling": 1.4112116346351493, "fos_yielding": 3.6523616080633143, "deflection": 0.0016465881982852379, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.220)" }, "parent_node_id": "node_1354", "improvement_over_parent": null }, "node_1356": { "node_id": "node_1356", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.31 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.31222036127164, "fos_buckling": 1.5683105364224152, "fos_yielding": 4.152307265012759, "deflection": 0.0014501005672900265, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.151)" }, "parent_node_id": "node_1355", "improvement_over_parent": null }, "node_1357": { "node_id": "node_1357", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1356", "improvement_over_parent": null }, "node_1358": { "node_id": "node_1358", "content": "INITIAL DESIGN (Trace 197)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0019)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0031)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n\nPerformance:\n Mass: 116.46 kg\n Factor of Safety: 0.88\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": 116.46291626762795, "fos_buckling": 0.8848015069888299, "fos_yielding": 2.3388413112930393, "deflection": 0.0028258318262671983, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1359": { "node_id": "node_1359", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 131.25 kg\n Factor of Safety: 0.98\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": 131.25374195387346, "fos_buckling": 0.9842320253322736, "fos_yielding": 2.6344570690351503, "deflection": 0.0025086765278417114, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.134)" }, "parent_node_id": "node_1358", "improvement_over_parent": null }, "node_1360": { "node_id": "node_1360", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 146.57 kg\n Factor of Safety: 1.08\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": 146.56767529574302, "fos_buckling": 1.0841414885592284, "fos_yielding": 2.9401855373761463, "deflection": 0.0022477400268231533, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.124)" }, "parent_node_id": "node_1359", "improvement_over_parent": null }, "node_1361": { "node_id": "node_1361", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 170.96 kg\n Factor of Safety: 1.24\n Max Deflection: 1.93e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.96389587751472, "fos_buckling": 1.2369488330630523, "fos_yielding": 3.4265085684672654, "deflection": 0.0019285806574969742, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.179)" }, "parent_node_id": "node_1360", "improvement_over_parent": null }, "node_1362": { "node_id": "node_1362", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 176.01 kg\n Factor of Safety: 1.14\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.00637881500526, "fos_buckling": 1.1408383485868352, "fos_yielding": 3.3905442698050168, "deflection": 0.0018979941991417257, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002066)" }, "parent_node_id": "node_1361", "improvement_over_parent": null }, "node_1363": { "node_id": "node_1363", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n\nPerformance:\n Mass: 180.25 kg\n Factor of Safety: 1.29\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.24622893096534, "fos_buckling": 1.2852459509359802, "fos_yielding": 3.403753663300298, "deflection": 0.0018253168535349406, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001913)" }, "parent_node_id": "node_1362", "improvement_over_parent": null }, "node_1364": { "node_id": "node_1364", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 220.02 kg\n Factor of Safety: 1.51\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 220.0237152449499, "fos_buckling": 1.5088291142236299, "fos_yielding": 4.150938293448627, "deflection": 0.001498479492468959, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.242)" }, "parent_node_id": "node_1363", "improvement_over_parent": null }, "node_1365": { "node_id": "node_1365", "content": "MODIFICATION: Increase 1 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 223.12 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.11644016179605, "fos_buckling": 1.567045976837821, "fos_yielding": 4.148285763525927, "deflection": 0.0014513046255182497, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.235)" }, "parent_node_id": "node_1364", "improvement_over_parent": null }, "node_1366": { "node_id": "node_1366", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1365", "improvement_over_parent": null }, "node_1367": { "node_id": "node_1367", "content": "INITIAL DESIGN (Trace 198)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 201.70 kg\n Factor of Safety: 1.31\n Max Deflection: 1.57e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.69987206882269, "fos_buckling": 1.305355014434627, "fos_yielding": 3.306612307992302, "deflection": 0.0015675210668135335, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1368": { "node_id": "node_1368", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n\nPerformance:\n Mass: 204.67 kg\n Factor of Safety: 1.32\n Max Deflection: 1.57e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.67478166861267, "fos_buckling": 1.3152667636989428, "fos_yielding": 3.331719893092678, "deflection": 0.0015663475635734404, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001622)" }, "parent_node_id": "node_1367", "improvement_over_parent": null }, "node_1369": { "node_id": "node_1369", "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0074)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n\nPerformance:\n Mass: 212.60 kg\n Factor of Safety: 1.32\n Max Deflection: 1.57e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.59619737295785, "fos_buckling": 1.3191829656873015, "fos_yielding": 3.341640076914012, "deflection": 0.0015657109838195789, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.295)" }, "parent_node_id": "node_1368", "improvement_over_parent": null }, "node_1370": { "node_id": "node_1370", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0074)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 218.75 kg\n Factor of Safety: 1.18\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.75001211125567, "fos_buckling": 1.1775719871723065, "fos_yielding": 3.302781273353932, "deflection": 0.00148776054767542, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_1369", "improvement_over_parent": null }, "node_1371": { "node_id": "node_1371", "content": "MODIFICATION: Increase 2 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0029)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0074)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 219.74 kg\n Factor of Safety: 1.30\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 219.73958540346004, "fos_buckling": 1.3040474637852635, "fos_yielding": 3.3033001338920007, "deflection": 0.0014850207048172429, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.215)" }, "parent_node_id": "node_1370", "improvement_over_parent": null }, "node_1372": { "node_id": "node_1372", "content": "MODIFICATION: Increase 8 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0029)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0074)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0075)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 231.28 kg\n Factor of Safety: 1.30\n Max Deflection: 1.41e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 231.27743088665574, "fos_buckling": 1.3028259786415066, "fos_yielding": 3.3002059734791525, "deflection": 0.001408154394505933, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.307)" }, "parent_node_id": "node_1371", "improvement_over_parent": null }, "node_1373": { "node_id": "node_1373", "content": "MODIFICATION: Increase 1 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0029)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0074)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0075)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 233.81 kg\n Factor of Safety: 1.30\n Max Deflection: 1.37e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 233.80633968387275, "fos_buckling": 1.3022294469726046, "fos_yielding": 3.298694891101802, "deflection": 0.0013707218334449817, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.185)" }, "parent_node_id": "node_1372", "improvement_over_parent": null }, "node_1374": { "node_id": "node_1374", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1373", "improvement_over_parent": null }, "node_1375": { "node_id": "node_1375", "content": "INITIAL DESIGN (Trace 199)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 164.49 kg\n Factor of Safety: 0.12\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": 164.49206906175436, "fos_buckling": 0.11799880403047616, "fos_yielding": 1.08126794842885, "deflection": 9888644422144.79, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1376": { "node_id": "node_1376", "content": "MODIFICATION: Increase 5 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 170.88 kg\n Factor of Safety: 0.12\n Max Deflection: 9.89e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.8849812486603, "fos_buckling": 0.11799880403047616, "fos_yielding": 1.08126794842885, "deflection": 9888644422144.79, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.292)" }, "parent_node_id": "node_1375", "improvement_over_parent": null }, "node_1377": { "node_id": "node_1377", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 214.50 kg\n Factor of Safety: 1.25\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.496035491421, "fos_buckling": 1.2460972347381496, "fos_yielding": 4.195107600608034, "deflection": 0.0015592350195499666, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_1376", "improvement_over_parent": null }, "node_1378": { "node_id": "node_1378", "content": "MODIFICATION: Increase 1 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 219.69 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 219.6948504907578, "fos_buckling": 1.5224584544487387, "fos_yielding": 4.195107600608034, "deflection": 0.0014706528948286476, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.462)" }, "parent_node_id": "node_1377", "improvement_over_parent": null }, "node_1379": { "node_id": "node_1379", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.25 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.24925782645582, "fos_buckling": 1.567977074802754, "fos_yielding": 4.151346475168411, "deflection": 0.0014504700844574572, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_1378", "improvement_over_parent": null }, "node_1380": { "node_id": "node_1380", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1379", "improvement_over_parent": null }, "node_1381": { "node_id": "node_1381", "content": "INITIAL DESIGN (Trace 200)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n\nPerformance:\n Mass: 160.85 kg\n Factor of Safety: 0.83\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.85405288792305, "fos_buckling": 0.8298038087469941, "fos_yielding": 2.829094396055331, "deflection": 0.0020954570475473235, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1382": { "node_id": "node_1382", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n\nPerformance:\n Mass: 182.03 kg\n Factor of Safety: 0.93\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.02504955019234, "fos_buckling": 0.9300205658114803, "fos_yielding": 3.210461098399846, "deflection": 0.0018518642728234734, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.143)" }, "parent_node_id": "node_1381", "improvement_over_parent": null }, "node_1383": { "node_id": "node_1383", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 188.18 kg\n Factor of Safety: 0.93\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.17886428849016, "fos_buckling": 0.9288106013743397, "fos_yielding": 3.2104610983998465, "deflection": 0.0018289016476212947, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_1382", "improvement_over_parent": null }, "node_1384": { "node_id": "node_1384", "content": "MODIFICATION: Increase 5 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0092)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 210.25 kg\n Factor of Safety: 0.93\n Max Deflection: 1.70e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.25318458327584, "fos_buckling": 0.9266483412824743, "fos_yielding": 3.2104610983998465, "deflection": 0.001696350627802438, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.592)" }, "parent_node_id": "node_1383", "improvement_over_parent": null }, "node_1385": { "node_id": "node_1385", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0092)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 215.43 kg\n Factor of Safety: 1.01\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.4275274600045, "fos_buckling": 1.013771781119388, "fos_yielding": 3.099574569252856, "deflection": 0.0016095710138430844, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_1384", "improvement_over_parent": null }, "node_1386": { "node_id": "node_1386", "content": "MODIFICATION: Increase 9 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0092)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0030)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 216.46 kg\n Factor of Safety: 1.02\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.45948872240018, "fos_buckling": 1.0154908101288005, "fos_yielding": 3.0974184949373846, "deflection": 0.001607010204638473, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.188)" }, "parent_node_id": "node_1385", "improvement_over_parent": null }, "node_1387": { "node_id": "node_1387", "content": "MODIFICATION: Increase 10 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0092)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0030)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0032)]\n\nPerformance:\n Mass: 218.07 kg\n Factor of Safety: 1.02\n Max Deflection: 1.60e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.07009146534645, "fos_buckling": 1.0201293893246364, "fos_yielding": 3.0917417749186895, "deflection": 0.0016028590243236124, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.355)" }, "parent_node_id": "node_1386", "improvement_over_parent": null }, "node_1388": { "node_id": "node_1388", "content": "MODIFICATION: Increase 10 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0092)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0030)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0042)]\n\nPerformance:\n Mass: 219.73 kg\n Factor of Safety: 1.02\n Max Deflection: 1.60e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 219.72544409806812, "fos_buckling": 1.0232576166418015, "fos_yielding": 3.087732466540894, "deflection": 0.0016001181535251088, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.292)" }, "parent_node_id": "node_1387", "improvement_over_parent": null }, "node_1389": { "node_id": "node_1389", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1388", "improvement_over_parent": null }, "node_1390": { "node_id": "node_1390", "content": "INITIAL DESIGN (Trace 201)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 201.51 kg\n Factor of Safety: 1.13\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.50546743073707, "fos_buckling": 1.1270213232757749, "fos_yielding": 4.19645566016795, "deflection": 0.0016143808429110301, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1391": { "node_id": "node_1391", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 210.12 kg\n Factor of Safety: 1.18\n Max Deflection: 1.60e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.11857204549773, "fos_buckling": 1.1770523611666126, "fos_yielding": 4.162826423129433, "deflection": 0.0016016790412274136, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_1390", "improvement_over_parent": null }, "node_1392": { "node_id": "node_1392", "content": "MODIFICATION: Increase 10 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0037)]\n\nPerformance:\n Mass: 213.42 kg\n Factor of Safety: 1.17\n Max Deflection: 1.60e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.41936351390785, "fos_buckling": 1.1651436943382434, "fos_yielding": 4.1575315495480405, "deflection": 0.0016001110673858115, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.441)" }, "parent_node_id": "node_1391", "improvement_over_parent": null }, "node_1393": { "node_id": "node_1393", "content": "MODIFICATION: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0037)]\n\nPerformance:\n Mass: 214.34 kg\n Factor of Safety: 1.15\n Max Deflection: 1.59e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.3388957196688, "fos_buckling": 1.145500910371467, "fos_yielding": 4.1534870927198675, "deflection": 0.0015945526659931484, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.193)" }, "parent_node_id": "node_1392", "improvement_over_parent": null }, "node_1394": { "node_id": "node_1394", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1393", "improvement_over_parent": null }, "node_1395": { "node_id": "node_1395", "content": "INITIAL DESIGN (Trace 202)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0031)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n\nPerformance:\n Mass: 133.99 kg\n Factor of Safety: 0.73\n Max Deflection: 2.30e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.98747011896103, "fos_buckling": 0.7263288971859041, "fos_yielding": 2.80875485085944, "deflection": 0.0022986034860327477, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1396": { "node_id": "node_1396", "content": "MODIFICATION: Increase 3 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0031)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n\nPerformance:\n Mass: 135.16 kg\n Factor of Safety: 0.73\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": 135.1576363552698, "fos_buckling": 0.7261045595599592, "fos_yielding": 2.808739538098024, "deflection": 0.0022988753052016657, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.527)" }, "parent_node_id": "node_1395", "improvement_over_parent": null }, "node_1397": { "node_id": "node_1397", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 165.51 kg\n Factor of Safety: 0.86\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.50899415057523, "fos_buckling": 0.8609194236586674, "fos_yielding": 3.434845907720949, "deflection": 0.0018813550465555788, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.241)" }, "parent_node_id": "node_1396", "improvement_over_parent": null }, "node_1398": { "node_id": "node_1398", "content": "MODIFICATION: Increase 6 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 169.61 kg\n Factor of Safety: 0.86\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.61374019928385, "fos_buckling": 0.8609194236586674, "fos_yielding": 3.434845907720949, "deflection": 0.0018813550465555788, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.208)" }, "parent_node_id": "node_1397", "improvement_over_parent": null }, "node_1399": { "node_id": "node_1399", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n\nPerformance:\n Mass: 180.07 kg\n Factor of Safety: 1.03\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.0728384184092, "fos_buckling": 1.0315166279137502, "fos_yielding": 3.444949050666664, "deflection": 0.001830793589690712, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002539)" }, "parent_node_id": "node_1398", "improvement_over_parent": null }, "node_1400": { "node_id": "node_1400", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 216.26 kg\n Factor of Safety: 1.19\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.25507283555459, "fos_buckling": 1.1948526641921702, "fos_yielding": 4.132626325852895, "deflection": 0.0015272462066987537, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.220)" }, "parent_node_id": "node_1399", "improvement_over_parent": null }, "node_1401": { "node_id": "node_1401", "content": "MODIFICATION: Increase 7 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.37 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.37277917245214, "fos_buckling": 1.5684924217450191, "fos_yielding": 4.152492644673737, "deflection": 0.001449732314720621, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.214)" }, "parent_node_id": "node_1400", "improvement_over_parent": null }, "node_1402": { "node_id": "node_1402", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1401", "improvement_over_parent": null }, "node_1403": { "node_id": "node_1403", "content": "INITIAL DESIGN (Trace 203)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0014)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0006)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0008)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0005)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0019)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0019)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0008)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0010)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0019)]\n\nPerformance:\n Mass: 76.11 kg\n Factor of Safety: 0.50\n Max Deflection: 4.20e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 76.1060171604338, "fos_buckling": 0.5026919243063863, "fos_yielding": 1.435245907054597, "deflection": 0.0042044474820014, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1404": { "node_id": "node_1404", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0018)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0007)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0024)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0024)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0024)]\n\nPerformance:\n Mass: 97.76 kg\n Factor of Safety: 0.64\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": 97.75503479451939, "fos_buckling": 0.6435769287430281, "fos_yielding": 1.8426575007207198, "deflection": 0.003277611245094937, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.295)" }, "parent_node_id": "node_1403", "improvement_over_parent": null }, "node_1405": { "node_id": "node_1405", "content": "MODIFICATION: Increase 5 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0018)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0024)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0024)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0024)]\n\nPerformance:\n Mass: 98.71 kg\n Factor of Safety: 0.77\n Max Deflection: 3.25e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 98.70676807729666, "fos_buckling": 0.7688788753788536, "fos_yielding": 1.8394688559398473, "deflection": 0.0032549483622393944, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.558)" }, "parent_node_id": "node_1404", "improvement_over_parent": null }, "node_1406": { "node_id": "node_1406", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0028)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n\nPerformance:\n Mass: 112.33 kg\n Factor of Safety: 0.87\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": 112.3308203374916, "fos_buckling": 0.8655240392369136, "fos_yielding": 2.092852343758203, "deflection": 0.0028626433351049284, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_1405", "improvement_over_parent": null }, "node_1407": { "node_id": "node_1407", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 140.63 kg\n Factor of Safety: 1.06\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": 140.6331111674627, "fos_buckling": 1.0590061814898517, "fos_yielding": 2.6188307895222698, "deflection": 0.0022906400655166538, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.266)" }, "parent_node_id": "node_1406", "improvement_over_parent": null }, "node_1408": { "node_id": "node_1408", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 174.48 kg\n Factor of Safety: 1.28\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.47932285313902, "fos_buckling": 1.2775321642464565, "fos_yielding": 3.247140701446733, "deflection": 0.0018502454960214422, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.258)" }, "parent_node_id": "node_1407", "improvement_over_parent": null }, "node_1409": { "node_id": "node_1409", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.28 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.27628256777408, "fos_buckling": 1.568108104241089, "fos_yielding": 4.151654976569932, "deflection": 0.0014503286937831198, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.307)" }, "parent_node_id": "node_1408", "improvement_over_parent": null }, "node_1410": { "node_id": "node_1410", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 204)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 190.47 kg\n Factor of Safety: 1.25\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.46641355305556, "fos_buckling": 1.2452852612572323, "fos_yielding": 3.805755383349787, "deflection": 0.0017154132746117225, "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 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 209.96 kg\n Factor of Safety: 1.35\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.95845199755294, "fos_buckling": 1.3492931826152226, "fos_yielding": 4.192555202000335, "deflection": 0.0015577730814074187, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.112)" }, "parent_node_id": "node_1411", "improvement_over_parent": null }, "node_1413": { "node_id": "node_1413", "content": "MODIFICATION: Increase 4 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 211.68 kg\n Factor of Safety: 1.27\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.68268792306836, "fos_buckling": 1.2655901697839158, "fos_yielding": 4.192555202000335, "deflection": 0.0015528444237564178, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.427)" }, "parent_node_id": "node_1412", "improvement_over_parent": null }, "node_1414": { "node_id": "node_1414", "content": "MODIFICATION: Increase 9 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 219.59 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 219.59065863028678, "fos_buckling": 1.5216758956679217, "fos_yielding": 4.192555202000335, "deflection": 0.0014713660290699474, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.250)" }, "parent_node_id": "node_1413", "improvement_over_parent": null }, "node_1415": { "node_id": "node_1415", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.15 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.1450659659848, "fos_buckling": 1.5676689210864938, "fos_yielding": 4.148793943918354, "deflection": 0.0014511521688096237, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_1414", "improvement_over_parent": null }, "node_1416": { "node_id": "node_1416", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1415", "improvement_over_parent": null }, "node_1417": { "node_id": "node_1417", "content": "INITIAL DESIGN (Trace 205)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 200.07 kg\n Factor of Safety: 1.14\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.06826329725072, "fos_buckling": 1.1373071079377373, "fos_yielding": 2.8248485397999565, "deflection": 0.001558515531923844, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1418": { "node_id": "node_1418", "content": "MODIFICATION: Increase 5 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 204.42 kg\n Factor of Safety: 1.14\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.41503401207848, "fos_buckling": 1.1373071079377373, "fos_yielding": 2.8248485397999565, "deflection": 0.001558515531923844, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.183)" }, "parent_node_id": "node_1417", "improvement_over_parent": null }, "node_1419": { "node_id": "node_1419", "content": "MODIFICATION: Increase 4 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 206.64 kg\n Factor of Safety: 1.14\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.6438080680117, "fos_buckling": 1.1375848085111484, "fos_yielding": 2.825538293740495, "deflection": 0.0015513282793102779, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.623)" }, "parent_node_id": "node_1418", "improvement_over_parent": null }, "node_1420": { "node_id": "node_1420", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 211.82 kg\n Factor of Safety: 1.14\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.81815094474038, "fos_buckling": 1.1418453862772915, "fos_yielding": 2.8361207360706207, "deflection": 0.001518570540333236, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_1419", "improvement_over_parent": null }, "node_1421": { "node_id": "node_1421", "content": "MODIFICATION: Increase 4 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0039)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 214.63 kg\n Factor of Safety: 1.14\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.62978028472034, "fos_buckling": 1.140941988547273, "fos_yielding": 2.833876872701887, "deflection": 0.001519772944305376, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.531)" }, "parent_node_id": "node_1420", "improvement_over_parent": null }, "node_1422": { "node_id": "node_1422", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1421", "improvement_over_parent": null }, "node_1423": { "node_id": "node_1423", "content": "INITIAL DESIGN (Trace 206)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0035)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0027)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n\nPerformance:\n Mass: 127.22 kg\n Factor of Safety: 0.83\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": 127.21939402755538, "fos_buckling": 0.8272280412119207, "fos_yielding": 2.51996948930992, "deflection": 0.002604224985361579, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1424": { "node_id": "node_1424", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 154.95 kg\n Factor of Safety: 0.99\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": 154.95432188780245, "fos_buckling": 0.9892013420835232, "fos_yielding": 3.0670526826336286, "deflection": 0.002141154972982337, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.232)" }, "parent_node_id": "node_1423", "improvement_over_parent": null }, "node_1425": { "node_id": "node_1425", "content": "MODIFICATION: Increase 6 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 160.50 kg\n Factor of Safety: 1.17\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.50437803227692, "fos_buckling": 1.1715503120931552, "fos_yielding": 3.067052682633628, "deflection": 0.0020049666770089072, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.225)" }, "parent_node_id": "node_1424", "improvement_over_parent": null }, "node_1426": { "node_id": "node_1426", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 195.29 kg\n Factor of Safety: 1.38\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.28510481545837, "fos_buckling": 1.382896875087719, "fos_yielding": 3.730033121108373, "deflection": 0.0016517816637704292, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.235)" }, "parent_node_id": "node_1425", "improvement_over_parent": null }, "node_1427": { "node_id": "node_1427", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 219.81 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 219.80983323955667, "fos_buckling": 1.5229705121041996, "fos_yielding": 4.19716659003871, "deflection": 0.0014699340521010119, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.138)" }, "parent_node_id": "node_1426", "improvement_over_parent": null }, "node_1428": { "node_id": "node_1428", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.36 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.36424057525468, "fos_buckling": 1.568632663055499, "fos_yielding": 4.15338047053474, "deflection": 0.0014497575677060951, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_1427", "improvement_over_parent": null }, "node_1429": { "node_id": "node_1429", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1428", "improvement_over_parent": null }, "node_1430": { "node_id": "node_1430", "content": "INITIAL DESIGN (Trace 207)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1431": { "node_id": "node_1431", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n\nPerformance:\n Mass: 155.71 kg\n Factor of Safety: 0.87\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": 155.7065901855934, "fos_buckling": 0.8657091711070505, "fos_yielding": 3.357407902730491, "deflection": 0.0021830569795013854, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001545)" }, "parent_node_id": "node_1430", "improvement_over_parent": null }, "node_1432": { "node_id": "node_1432", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n\nPerformance:\n Mass: 175.72 kg\n Factor of Safety: 0.97\n Max Deflection: 1.93e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.71646506827923, "fos_buckling": 0.9678433646805233, "fos_yielding": 3.785967698345454, "deflection": 0.001934311713782805, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.139)" }, "parent_node_id": "node_1431", "improvement_over_parent": null }, "node_1433": { "node_id": "node_1433", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n\nPerformance:\n Mass: 181.27 kg\n Factor of Safety: 0.95\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.2665317054349, "fos_buckling": 0.9549267329062877, "fos_yielding": 3.785967698345454, "deflection": 0.0018103955377029698, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002292)" }, "parent_node_id": "node_1432", "improvement_over_parent": null }, "node_1434": { "node_id": "node_1434", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 201.16 kg\n Factor of Safety: 1.04\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.15971372073528, "fos_buckling": 1.0404891975986206, "fos_yielding": 4.1983447037828565, "deflection": 0.0016325830216685564, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.120)" }, "parent_node_id": "node_1433", "improvement_over_parent": null }, "node_1435": { "node_id": "node_1435", "content": "MODIFICATION: Increase 9 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0039)]\n\nPerformance:\n Mass: 203.88 kg\n Factor of Safety: 0.98\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.88318275711362, "fos_buckling": 0.9842991921596668, "fos_yielding": 4.1983447037828565, "deflection": 0.001626590047739163, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.513)" }, "parent_node_id": "node_1434", "improvement_over_parent": null }, "node_1436": { "node_id": "node_1436", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0039)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 212.50 kg\n Factor of Safety: 1.02\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.49628737187427, "fos_buckling": 1.0162174766401957, "fos_yielding": 4.1550777624036686, "deflection": 0.0016074712884319134, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_1435", "improvement_over_parent": null }, "node_1437": { "node_id": "node_1437", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1436", "improvement_over_parent": null }, "node_1438": { "node_id": "node_1438", "content": "INITIAL DESIGN (Trace 208)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 167.25 kg\n Factor of Safety: 1.07\n Max Deflection: 3.69e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.24928939821737, "fos_buckling": 1.0718265241451337, "fos_yielding": 0.540633974214425, "deflection": 36866595212460.77, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1439": { "node_id": "node_1439", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n\nPerformance:\n Mass: 172.67 kg\n Factor of Safety: 0.06\n Max Deflection: 7.51e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.67425649023198, "fos_buckling": 0.06041934475922791, "fos_yielding": 1.105147753223321, "deflection": 0.007514758488875464, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001560)" }, "parent_node_id": "node_1438", "improvement_over_parent": null }, "node_1440": { "node_id": "node_1440", "content": "MODIFICATION: Increase 7 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0051)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n\nPerformance:\n Mass: 179.56 kg\n Factor of Safety: 0.06\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": 179.5577333454076, "fos_buckling": 0.060375291653416686, "fos_yielding": 1.1043419650919897, "deflection": 0.0075167147611597245, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.645)" }, "parent_node_id": "node_1439", "improvement_over_parent": null }, "node_1441": { "node_id": "node_1441", "content": "MODIFICATION: Increase 0 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0051)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n\nPerformance:\n Mass: 183.35 kg\n Factor of Safety: 0.06\n Max Deflection: 7.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.3473662064112, "fos_buckling": 0.06035106604192156, "fos_yielding": 1.1038988474080598, "deflection": 0.007518851024061551, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.294)" }, "parent_node_id": "node_1440", "improvement_over_parent": null }, "node_1442": { "node_id": "node_1442", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0051)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n\nPerformance:\n Mass: 211.47 kg\n Factor of Safety: 0.97\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.4708040858541, "fos_buckling": 0.9730561868259745, "fos_yielding": 4.11839788638147, "deflection": 0.0016708536492053522, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003599)" }, "parent_node_id": "node_1441", "improvement_over_parent": null }, "node_1443": { "node_id": "node_1443", "content": "MODIFICATION: Increase 7 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0082)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n\nPerformance:\n Mass: 220.20 kg\n Factor of Safety: 0.98\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 220.20445836134755, "fos_buckling": 0.9825549516475546, "fos_yielding": 4.119125127100113, "deflection": 0.0016670247868880532, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.603)" }, "parent_node_id": "node_1442", "improvement_over_parent": null }, "node_1444": { "node_id": "node_1444", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1443", "improvement_over_parent": null }, "node_1445": { "node_id": "node_1445", "content": "INITIAL DESIGN (Trace 209)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, 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_1446": { "node_id": "node_1446", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 128.39 kg\n Factor of Safety: 0.01\n Max Deflection: 2.36e+14 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.3874917954523, "fos_buckling": 0.009202419214336822, "fos_yielding": 0.13781918075600186, "deflection": 236176115927045.38, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_1445", "improvement_over_parent": null }, "node_1447": { "node_id": "node_1447", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 171.04 kg\n Factor of Safety: 0.09\n Max Deflection: 1.04e+14 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.0394601468257, "fos_buckling": 0.09043181980376223, "fos_yielding": 0.2703169871072125, "deflection": 104472588034647.14, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_1446", "improvement_over_parent": null }, "node_1448": { "node_id": "node_1448", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 214.65 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 214.6505143895864, "fos_buckling": 1.5232703109122072, "fos_yielding": 4.19645566016795, "deflection": 0.0014701147163442613, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_1447", "improvement_over_parent": null }, "node_1449": { "node_id": "node_1449", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.26361900434705, "fos_buckling": 1.5680862480590454, "fos_yielding": 4.151346366054904, "deflection": 0.0014503995610686605, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_1448", "improvement_over_parent": null }, "node_1450": { "node_id": "node_1450", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1449", "improvement_over_parent": null }, "node_1451": { "node_id": "node_1451", "content": "INITIAL DESIGN (Trace 210)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, 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_1452": { "node_id": "node_1452", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n\nPerformance:\n Mass: 152.00 kg\n Factor of Safety: 0.90\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": 152.00041506206293, "fos_buckling": 0.8981146868848896, "fos_yielding": 2.4989505290492984, "deflection": 0.002140810494222939, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001498)" }, "parent_node_id": "node_1451", "improvement_over_parent": null }, "node_1453": { "node_id": "node_1453", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n\nPerformance:\n Mass: 154.74 kg\n Factor of Safety: 0.81\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": 154.7375622687828, "fos_buckling": 0.8125818011259388, "fos_yielding": 2.5105377731916225, "deflection": 0.0020833343737168826, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001483)" }, "parent_node_id": "node_1452", "improvement_over_parent": null }, "node_1454": { "node_id": "node_1454", "content": "MODIFICATION: Increase 8 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0055)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n\nPerformance:\n Mass: 163.41 kg\n Factor of Safety: 0.77\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.40788930188327, "fos_buckling": 0.770005006417587, "fos_yielding": 2.5341877364138865, "deflection": 0.0019715100113283242, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.289)" }, "parent_node_id": "node_1453", "improvement_over_parent": null }, "node_1455": { "node_id": "node_1455", "content": "MODIFICATION: Increase 6 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0055)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n\nPerformance:\n Mass: 176.26 kg\n Factor of Safety: 0.91\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.25785970896166, "fos_buckling": 0.9083457529610565, "fos_yielding": 2.5274178599560604, "deflection": 0.0017450469003130245, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.541)" }, "parent_node_id": "node_1454", "improvement_over_parent": null }, "node_1456": { "node_id": "node_1456", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0067)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0074)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 228.56 kg\n Factor of Safety: 1.16\n Max Deflection: 1.35e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 228.55634693932686, "fos_buckling": 1.156114251493789, "fos_yielding": 3.303410599065701, "deflection": 0.001351342005488978, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.328)" }, "parent_node_id": "node_1455", "improvement_over_parent": null }, "node_1457": { "node_id": "node_1457", "content": "MODIFICATION: Increase 7 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0067)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0074)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 232.15 kg\n Factor of Safety: 1.16\n Max Deflection: 1.35e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 232.1538340966959, "fos_buckling": 1.1556015638885302, "fos_yielding": 3.3019456766611612, "deflection": 0.0013515682758091718, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.326)" }, "parent_node_id": "node_1456", "improvement_over_parent": null }, "node_1458": { "node_id": "node_1458", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1457", "improvement_over_parent": null }, "node_1459": { "node_id": "node_1459", "content": "INITIAL DESIGN (Trace 211)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, 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_1460": { "node_id": "node_1460", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n\nPerformance:\n Mass: 168.21 kg\n Factor of Safety: 1.09\n Max Deflection: 1.93e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.20703309668636, "fos_buckling": 1.0854169071396182, "fos_yielding": 3.1943305962177453, "deflection": 0.0019337373526666605, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002336)" }, "parent_node_id": "node_1459", "improvement_over_parent": null }, "node_1461": { "node_id": "node_1461", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n\nPerformance:\n Mass: 172.20 kg\n Factor of Safety: 1.26\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.19677527080862, "fos_buckling": 1.263234047168093, "fos_yielding": 3.2048096792807943, "deflection": 0.0018744962466152137, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001792)" }, "parent_node_id": "node_1460", "improvement_over_parent": null }, "node_1462": { "node_id": "node_1462", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 223.34 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.33908163436504, "fos_buckling": 1.568463599383883, "fos_yielding": 4.1528403417559, "deflection": 0.0014499227540867813, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.326)" }, "parent_node_id": "node_1461", "improvement_over_parent": null }, "node_1463": { "node_id": "node_1463", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 212)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\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_1465": { "node_id": "node_1465", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n\nPerformance:\n Mass: 130.98 kg\n Factor of Safety: 0.68\n Max Deflection: 9.07e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.97997453639988, "fos_buckling": 0.6813489942787101, "fos_yielding": 1.9622299962165144, "deflection": 9073509914963.969, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002072)" }, "parent_node_id": "node_1464", "improvement_over_parent": null }, "node_1466": { "node_id": "node_1466", "content": "MODIFICATION: Increase 0 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n\nPerformance:\n Mass: 133.54 kg\n Factor of Safety: 0.10\n Max Deflection: 7.55e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.53860094692988, "fos_buckling": 0.10024500186705217, "fos_yielding": 1.0200918081601402, "deflection": 7546094297649.293, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.209)" }, "parent_node_id": "node_1465", "improvement_over_parent": null }, "node_1467": { "node_id": "node_1467", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n\nPerformance:\n Mass: 136.67 kg\n Factor of Safety: 0.03\n Max Deflection: 3.50e+13 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.67415759170478, "fos_buckling": 0.03286645989405574, "fos_yielding": 0.540633974214425, "deflection": 34984196634082.496, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001717)" }, "parent_node_id": "node_1466", "improvement_over_parent": null }, "node_1468": { "node_id": "node_1468", "content": "MODIFICATION: Increase 4 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0082)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n\nPerformance:\n Mass: 151.80 kg\n Factor of Safety: 0.03\n Max Deflection: 3.50e+13 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.80337797144114, "fos_buckling": 0.03286645989405574, "fos_yielding": 0.540633974214425, "deflection": 34984196634082.496, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.647)" }, "parent_node_id": "node_1467", "improvement_over_parent": null }, "node_1469": { "node_id": "node_1469", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0082)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n\nPerformance:\n Mass: 162.87 kg\n Factor of Safety: 0.12\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.87396118819723, "fos_buckling": 0.11538931265861822, "fos_yielding": 1.89808646521685, "deflection": 0.005218949458585134, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002700)" }, "parent_node_id": "node_1468", "improvement_over_parent": null }, "node_1470": { "node_id": "node_1470", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0082)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 200.50 kg\n Factor of Safety: 0.95\n Max Deflection: 1.84e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.49665745167678, "fos_buckling": 0.954504994441527, "fos_yielding": 2.335548618366297, "deflection": 0.0018440418515619141, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004977)" }, "parent_node_id": "node_1469", "improvement_over_parent": null }, "node_1471": { "node_id": "node_1471", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0094)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 227.02 kg\n Factor of Safety: 1.06\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 227.01803317722366, "fos_buckling": 1.0612389327676732, "fos_yielding": 2.6590590287900833, "deflection": 0.0016196892780468836, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.147)" }, "parent_node_id": "node_1470", "improvement_over_parent": null }, "node_1472": { "node_id": "node_1472", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1471", "improvement_over_parent": null }, "node_1473": { "node_id": "node_1473", "content": "INITIAL DESIGN (Trace 213)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n\nPerformance:\n Mass: 148.87 kg\n Factor of Safety: 0.11\n Max Deflection: 6.48e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.87401300338678, "fos_buckling": 0.11080149689405895, "fos_yielding": 1.5661930825487667, "deflection": 0.0064800997292406804, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1474": { "node_id": "node_1474", "content": "MODIFICATION: Increase 9 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n\nPerformance:\n Mass: 151.74 kg\n Factor of Safety: 0.11\n Max Deflection: 5.75e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.74330383191602, "fos_buckling": 0.11076775596537479, "fos_yielding": 1.8085641994534343, "deflection": 0.0057473247581093425, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.403)" }, "parent_node_id": "node_1473", "improvement_over_parent": null }, "node_1475": { "node_id": "node_1475", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 180.62 kg\n Factor of Safety: 0.13\n Max Deflection: 4.84e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.61894634844927, "fos_buckling": 0.1278882282876498, "fos_yielding": 2.1483002100653295, "deflection": 0.004836046793064694, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.209)" }, "parent_node_id": "node_1474", "improvement_over_parent": null }, "node_1476": { "node_id": "node_1476", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.27 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.27091469982267, "fos_buckling": 1.5681029398225683, "fos_yielding": 4.1515055946322095, "deflection": 0.0014503777793987724, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_1475", "improvement_over_parent": null }, "node_1477": { "node_id": "node_1477", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1476", "improvement_over_parent": null }, "node_1478": { "node_id": "node_1478", "content": "INITIAL DESIGN (Trace 214)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 140.70 kg\n Factor of Safety: 0.05\n Max Deflection: 8.67e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.69827100352566, "fos_buckling": 0.04977852224752095, "fos_yielding": 1.051054852775061, "deflection": 0.008671153240479056, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1479": { "node_id": "node_1479", "content": "MODIFICATION: Increase 7 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 142.38 kg\n Factor of Safety: 0.05\n Max Deflection: 7.68e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.37773862479287, "fos_buckling": 0.049769643494606844, "fos_yielding": 1.1729409823815724, "deflection": 0.0076835004959574385, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.350)" }, "parent_node_id": "node_1478", "improvement_over_parent": null }, "node_1480": { "node_id": "node_1480", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 179.60 kg\n Factor of Safety: 0.06\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.600382386893, "fos_buckling": 0.06036034775888356, "fos_yielding": 1.4756829893244536, "deflection": 0.00610386505147551, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.287)" }, "parent_node_id": "node_1479", "improvement_over_parent": null }, "node_1481": { "node_id": "node_1481", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.21 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.2114366296537, "fos_buckling": 1.5676431830659856, "fos_yielding": 4.150154866257129, "deflection": 0.0014507150894010113, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_1480", "improvement_over_parent": null }, "node_1482": { "node_id": "node_1482", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1481", "improvement_over_parent": null }, "node_1483": { "node_id": "node_1483", "content": "INITIAL DESIGN (Trace 215)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n\nPerformance:\n Mass: 139.71 kg\n Factor of Safety: 0.95\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": 139.70798253048912, "fos_buckling": 0.9489975655166223, "fos_yielding": 2.7478172889297188, "deflection": 0.002329504050451928, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1484": { "node_id": "node_1484", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 175.09 kg\n Factor of Safety: 1.15\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.0891030213796, "fos_buckling": 1.1482138863407856, "fos_yielding": 3.4406789739901193, "deflection": 0.0018627014067237023, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.272)" }, "parent_node_id": "node_1483", "improvement_over_parent": null }, "node_1485": { "node_id": "node_1485", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 213.62 kg\n Factor of Safety: 1.35\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.62189907412068, "fos_buckling": 1.347325093808998, "fos_yielding": 4.193743707662438, "deflection": 0.001530195795657705, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.241)" }, "parent_node_id": "node_1484", "improvement_over_parent": null }, "node_1486": { "node_id": "node_1486", "content": "MODIFICATION: Increase 9 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 219.66 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 219.65666252183527, "fos_buckling": 1.5220234169282856, "fos_yielding": 4.19374370766244, "deflection": 0.0014708865885359153, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.181)" }, "parent_node_id": "node_1485", "improvement_over_parent": null }, "node_1487": { "node_id": "node_1487", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.21 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.2110698575333, "fos_buckling": 1.5682321231060463, "fos_yielding": 4.149980359155382, "deflection": 0.0014506864062488933, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_1486", "improvement_over_parent": null }, "node_1488": { "node_id": "node_1488", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1487", "improvement_over_parent": null }, "node_1489": { "node_id": "node_1489", "content": "INITIAL DESIGN (Trace 216)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\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_1490": { "node_id": "node_1490", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n\nPerformance:\n Mass: 144.39 kg\n Factor of Safety: 0.05\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.38771309410905, "fos_buckling": 0.05156883944256138, "fos_yielding": 1.2379808268404573, "deflection": 0.011616531366002764, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004697)" }, "parent_node_id": "node_1489", "improvement_over_parent": null }, "node_1491": { "node_id": "node_1491", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 149.48 kg\n Factor of Safety: 0.11\n Max Deflection: 5.83e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.4799881827288, "fos_buckling": 0.10937739958362314, "fos_yielding": 1.7819614207184322, "deflection": 0.005834047882340879, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002088)" }, "parent_node_id": "node_1490", "improvement_over_parent": null }, "node_1492": { "node_id": "node_1492", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 180.65 kg\n Factor of Safety: 0.13\n Max Deflection: 4.84e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.64999746510543, "fos_buckling": 0.12791090913087227, "fos_yielding": 2.148765933944838, "deflection": 0.004835561000562676, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.229)" }, "parent_node_id": "node_1491", "improvement_over_parent": null }, "node_1493": { "node_id": "node_1493", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.30 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.30196581647883, "fos_buckling": 1.5681218193600146, "fos_yielding": 4.152403495999056, "deflection": 0.0014501963663970869, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_1492", "improvement_over_parent": null }, "node_1494": { "node_id": "node_1494", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1493", "improvement_over_parent": null }, "node_1495": { "node_id": "node_1495", "content": "INITIAL DESIGN (Trace 217)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 164.11 kg\n Factor of Safety: 1.23\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.10688693229946, "fos_buckling": 1.2343170609529817, "fos_yielding": 3.428360144672246, "deflection": 0.0018818063326166469, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1496": { "node_id": "node_1496", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 171.14 kg\n Factor of Safety: 1.15\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.14169651374755, "fos_buckling": 1.1465690580740855, "fos_yielding": 3.3817731197568155, "deflection": 0.0018267247113060246, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002058)" }, "parent_node_id": "node_1495", "improvement_over_parent": null }, "node_1497": { "node_id": "node_1497", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 209.66 kg\n Factor of Safety: 1.34\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.65527035493074, "fos_buckling": 1.3398450115173977, "fos_yielding": 4.139406920145712, "deflection": 0.0014952521433415455, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.247)" }, "parent_node_id": "node_1496", "improvement_over_parent": null }, "node_1498": { "node_id": "node_1498", "content": "MODIFICATION: Increase 3 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 210.77 kg\n Factor of Safety: 1.34\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.77209355553356, "fos_buckling": 1.339371410678788, "fos_yielding": 4.139387409049664, "deflection": 0.0014954204604450895, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.302)" }, "parent_node_id": "node_1497", "improvement_over_parent": null }, "node_1499": { "node_id": "node_1499", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.32 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.3204511756298, "fos_buckling": 1.568352950487379, "fos_yielding": 4.152494321293123, "deflection": 0.0014500402765375688, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_1498", "improvement_over_parent": null }, "node_1500": { "node_id": "node_1500", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1499", "improvement_over_parent": null }, "node_1501": { "node_id": "node_1501", "content": "INITIAL DESIGN (Trace 218)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n\nPerformance:\n Mass: 129.13 kg\n Factor of Safety: 0.87\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": 129.13138507042268, "fos_buckling": 0.8693954853314707, "fos_yielding": 2.0981222876542676, "deflection": 0.0024508671949457, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1502": { "node_id": "node_1502", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 147.54 kg\n Factor of Safety: 0.98\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": 147.5356659855708, "fos_buckling": 0.982169252199851, "fos_yielding": 2.3989239822323003, "deflection": 0.002147920108263565, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.151)" }, "parent_node_id": "node_1501", "improvement_over_parent": null }, "node_1503": { "node_id": "node_1503", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 181.54 kg\n Factor of Safety: 1.18\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.5422300685085, "fos_buckling": 1.1831860549953606, "fos_yielding": 2.9561455843517983, "deflection": 0.0017497706211652042, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.248)" }, "parent_node_id": "node_1502", "improvement_over_parent": null }, "node_1504": { "node_id": "node_1504", "content": "MODIFICATION: Increase 4 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 185.91 kg\n Factor of Safety: 1.35\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.91345162867225, "fos_buckling": 1.348231053640636, "fos_yielding": 3.4589096751736723, "deflection": 0.0017376783259247341, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.190)" }, "parent_node_id": "node_1503", "improvement_over_parent": null }, "node_1505": { "node_id": "node_1505", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.16 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.1580605442692, "fos_buckling": 1.5674663018673387, "fos_yielding": 4.149090508147227, "deflection": 0.0014510650092677646, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.220)" }, "parent_node_id": "node_1504", "improvement_over_parent": null }, "node_1506": { "node_id": "node_1506", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1505", "improvement_over_parent": null }, "node_1507": { "node_id": "node_1507", "content": "INITIAL DESIGN (Trace 219)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n\nPerformance:\n Mass: 167.66 kg\n Factor of Safety: 0.98\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": 167.66059537755592, "fos_buckling": 0.977879407331646, "fos_yielding": 3.558307442843342, "deflection": 0.0021454802732752357, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1508": { "node_id": "node_1508", "content": "MODIFICATION: Increase 9 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 178.00 kg\n Factor of Safety: 1.29\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.00441895506884, "fos_buckling": 1.286495925534408, "fos_yielding": 3.534183294241042, "deflection": 0.00192309799634728, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.437)" }, "parent_node_id": "node_1507", "improvement_over_parent": null }, "node_1509": { "node_id": "node_1509", "content": "MODIFICATION: Increase 0 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 180.18 kg\n Factor of Safety: 1.29\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.1806760348079, "fos_buckling": 1.293998325951433, "fos_yielding": 3.540004606668212, "deflection": 0.0018663845010658097, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.182)" }, "parent_node_id": "node_1508", "improvement_over_parent": null }, "node_1510": { "node_id": "node_1510", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 214.51 kg\n Factor of Safety: 1.49\n Max Deflection: 1.57e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.5074062740636, "fos_buckling": 1.4945999188807135, "fos_yielding": 4.2104810332233855, "deflection": 0.0015696489015980396, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.209)" }, "parent_node_id": "node_1509", "improvement_over_parent": null }, "node_1511": { "node_id": "node_1511", "content": "MODIFICATION: Increase 1 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 217.19 kg\n Factor of Safety: 1.49\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.18937485121592, "fos_buckling": 1.4854810771227263, "fos_yielding": 4.202521652907312, "deflection": 0.0015196196714862328, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.198)" }, "parent_node_id": "node_1510", "improvement_over_parent": null }, "node_1512": { "node_id": "node_1512", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.34 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.34318958951374, "fos_buckling": 1.568913513413519, "fos_yielding": 4.151961780785024, "deflection": 0.001449688833755598, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_1511", "improvement_over_parent": null }, "node_1513": { "node_id": "node_1513", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1512", "improvement_over_parent": null }, "node_1514": { "node_id": "node_1514", "content": "INITIAL DESIGN (Trace 220)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0045)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 151.96 kg\n Factor of Safety: 0.06\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.96450385647546, "fos_buckling": 0.05580971725535791, "fos_yielding": 1.3419932216357087, "deflection": 0.011012021682673071, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1515": { "node_id": "node_1515", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0045)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n\nPerformance:\n Mass: 191.52 kg\n Factor of Safety: 1.26\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.51664951995792, "fos_buckling": 1.2623640826511726, "fos_yielding": 3.178536075280933, "deflection": 0.001674635366262155, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005187)" }, "parent_node_id": "node_1514", "improvement_over_parent": null }, "node_1516": { "node_id": "node_1516", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 211.09 kg\n Factor of Safety: 1.37\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.08705463965146, "fos_buckling": 1.374079830671845, "fos_yielding": 3.507184945484942, "deflection": 0.0015211665486553362, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.112)" }, "parent_node_id": "node_1515", "improvement_over_parent": null }, "node_1517": { "node_id": "node_1517", "content": "MODIFICATION: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 216.97 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.9748479046541, "fos_buckling": 1.4838370530777472, "fos_yielding": 4.1988906558987305, "deflection": 0.0015213771116035877, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.222)" }, "parent_node_id": "node_1516", "improvement_over_parent": null }, "node_1518": { "node_id": "node_1518", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.13 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.12866264295192, "fos_buckling": 1.5673060783389683, "fos_yielding": 4.14829916187276, "deflection": 0.0014512597928819887, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_1517", "improvement_over_parent": null }, "node_1519": { "node_id": "node_1519", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1518", "improvement_over_parent": null }, "node_1520": { "node_id": "node_1520", "content": "INITIAL DESIGN (Trace 221)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 166.35 kg\n Factor of Safety: 0.06\n Max Deflection: 6.11e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.34743556830583, "fos_buckling": 0.060459892096909475, "fos_yielding": 1.4781950522865088, "deflection": 0.006109965381844622, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1521": { "node_id": "node_1521", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 178.90 kg\n Factor of Safety: 0.06\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.89579318840208, "fos_buckling": 0.060379525168258494, "fos_yielding": 1.4762301464261258, "deflection": 0.006102957514391708, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_1520", "improvement_over_parent": null }, "node_1522": { "node_id": "node_1522", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 222.51 kg\n Factor of Safety: 1.56\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 222.50684743116278, "fos_buckling": 1.563695645590629, "fos_yielding": 4.150849900700568, "deflection": 0.0014520348987178686, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_1521", "improvement_over_parent": null }, "node_1523": { "node_id": "node_1523", "content": "MODIFICATION: Increase 3 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.26331938287655, "fos_buckling": 1.5680219893406082, "fos_yielding": 4.151349659524352, "deflection": 0.0014504120815414074, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.188)" }, "parent_node_id": "node_1522", "improvement_over_parent": null }, "node_1524": { "node_id": "node_1524", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1523", "improvement_over_parent": null }, "node_1525": { "node_id": "node_1525", "content": "INITIAL DESIGN (Trace 222)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n\nPerformance:\n Mass: 149.11 kg\n Factor of Safety: 1.04\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": 149.10556502228334, "fos_buckling": 1.0391504905393825, "fos_yielding": 2.830186293965989, "deflection": 0.002219861926268755, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1526": { "node_id": "node_1526", "content": "MODIFICATION: Increase 1 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n\nPerformance:\n Mass: 151.88 kg\n Factor of Safety: 1.13\n Max Deflection: 2.12e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.87772211431337, "fos_buckling": 1.1331795389632056, "fos_yielding": 2.8277000685989453, "deflection": 0.0021225774198669143, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.321)" }, "parent_node_id": "node_1525", "improvement_over_parent": null }, "node_1527": { "node_id": "node_1527", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 198.12 kg\n Factor of Safety: 1.42\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.1185271442309, "fos_buckling": 1.421924255136783, "fos_yielding": 3.6855762456540595, "deflection": 0.0016319244945169286, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.330)" }, "parent_node_id": "node_1526", "improvement_over_parent": null }, "node_1528": { "node_id": "node_1528", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.36 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.36010790572436, "fos_buckling": 1.5686129115108196, "fos_yielding": 4.153269337462251, "deflection": 0.0014498059995247078, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.140)" }, "parent_node_id": "node_1527", "improvement_over_parent": null }, "node_1529": { "node_id": "node_1529", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1528", "improvement_over_parent": null }, "node_1530": { "node_id": "node_1530", "content": "INITIAL DESIGN (Trace 223)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0018)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0023)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0024)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0023)]\n\nPerformance:\n Mass: 96.82 kg\n Factor of Safety: 0.76\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": 96.82282949632827, "fos_buckling": 0.7553355258679132, "fos_yielding": 1.804427344362255, "deflection": 0.003317880762932643, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1531": { "node_id": "node_1531", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0032)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n\nPerformance:\n Mass: 127.54 kg\n Factor of Safety: 0.97\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": 127.53806758622, "fos_buckling": 0.9707063219182481, "fos_yielding": 2.375542670148398, "deflection": 0.0025237369845004585, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.333)" }, "parent_node_id": "node_1530", "improvement_over_parent": null }, "node_1532": { "node_id": "node_1532", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 158.58 kg\n Factor of Safety: 1.18\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": 158.5775369494747, "fos_buckling": 1.176603136103434, "fos_yielding": 2.952049660926289, "deflection": 0.002033737478807401, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.259)" }, "parent_node_id": "node_1531", "improvement_over_parent": null }, "node_1533": { "node_id": "node_1533", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 190.14 kg\n Factor of Safety: 1.37\n Max Deflection: 1.70e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.1411041365203, "fos_buckling": 1.3739362662786363, "fos_yielding": 3.537635293231247, "deflection": 0.0016995183874112228, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.215)" }, "parent_node_id": "node_1532", "improvement_over_parent": null }, "node_1534": { "node_id": "node_1534", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.03 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.03449151938725, "fos_buckling": 1.5667401630020028, "fos_yielding": 4.147190254662252, "deflection": 0.001451876895326431, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.190)" }, "parent_node_id": "node_1533", "improvement_over_parent": null }, "node_1535": { "node_id": "node_1535", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 224)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0014)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0018)]\n\nPerformance:\n Mass: 104.92 kg\n Factor of Safety: 0.57\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": 104.92400341639168, "fos_buckling": 0.5676025443112094, "fos_yielding": 2.3117465139450064, "deflection": 0.003603565707640926, "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: Increase 1 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0018)]\n\nPerformance:\n Mass: 108.36 kg\n Factor of Safety: 0.57\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": 108.35859907425468, "fos_buckling": 0.5738902731197062, "fos_yielding": 2.299254523495054, "deflection": 0.0033364144162098255, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.595)" }, "parent_node_id": "node_1536", "improvement_over_parent": null }, "node_1538": { "node_id": "node_1538", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0021)]\n\nPerformance:\n Mass: 125.45 kg\n Factor of Safety: 0.66\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": 125.4511511166846, "fos_buckling": 0.6598735579821609, "fos_yielding": 2.6596295257229885, "deflection": 0.002881470981694105, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.166)" }, "parent_node_id": "node_1537", "improvement_over_parent": null }, "node_1539": { "node_id": "node_1539", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0021)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n\nPerformance:\n Mass: 129.30 kg\n Factor of Safety: 0.65\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": 129.29513395493743, "fos_buckling": 0.6490890841302894, "fos_yielding": 2.607018855419024, "deflection": 0.0026643353898666393, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001547)" }, "parent_node_id": "node_1538", "improvement_over_parent": null }, "node_1540": { "node_id": "node_1540", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 168.28 kg\n Factor of Safety: 0.82\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": 168.28420549135694, "fos_buckling": 0.8179612401852104, "fos_yielding": 3.3874354534887763, "deflection": 0.002048979262857237, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.323)" }, "parent_node_id": "node_1539", "improvement_over_parent": null }, "node_1541": { "node_id": "node_1541", "content": "MODIFICATION: Increase 10 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0034)]\n\nPerformance:\n Mass: 171.20 kg\n Factor of Safety: 0.76\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": 171.19755266637466, "fos_buckling": 0.7611968101725479, "fos_yielding": 3.3794010869162476, "deflection": 0.0020300522391118532, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.661)" }, "parent_node_id": "node_1540", "improvement_over_parent": null }, "node_1542": { "node_id": "node_1542", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0043)]\n\nPerformance:\n Mass: 211.02 kg\n Factor of Safety: 0.91\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.01734873095646, "fos_buckling": 0.9103337005942131, "fos_yielding": 4.16113275652291, "deflection": 0.0016481554181458577, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.255)" }, "parent_node_id": "node_1541", "improvement_over_parent": null }, "node_1543": { "node_id": "node_1543", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 225)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0019)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0025)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0025)]\n\nPerformance:\n Mass: 100.75 kg\n Factor of Safety: 0.76\n Max Deflection: 3.26e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 100.74819810936643, "fos_buckling": 0.7592803443079018, "fos_yielding": 1.9546995018685633, "deflection": 0.003258891860314754, "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 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n\nPerformance:\n Mass: 112.70 kg\n Factor of Safety: 0.84\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": 112.70444792653822, "fos_buckling": 0.8412598262441264, "fos_yielding": 2.186123054946851, "deflection": 0.0029147983777015043, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.124)" }, "parent_node_id": "node_1544", "improvement_over_parent": null }, "node_1546": { "node_id": "node_1546", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 145.77 kg\n Factor of Safety: 1.06\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": 145.77263911914895, "fos_buckling": 1.0590721495414217, "fos_yielding": 2.8255811121287886, "deflection": 0.0022570600086756587, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.311)" }, "parent_node_id": "node_1545", "improvement_over_parent": null }, "node_1547": { "node_id": "node_1547", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 188.62 kg\n Factor of Safety: 1.32\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.6249852068773, "fos_buckling": 1.3219049128488753, "fos_yielding": 3.6529204519316627, "deflection": 0.0017477770103482412, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.318)" }, "parent_node_id": "node_1546", "improvement_over_parent": null }, "node_1548": { "node_id": "node_1548", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 193.97 kg\n Factor of Safety: 1.40\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.96722990827817, "fos_buckling": 1.3970415108514334, "fos_yielding": 3.6086521686417403, "deflection": 0.0016663812240467872, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002199)" }, "parent_node_id": "node_1547", "improvement_over_parent": null }, "node_1549": { "node_id": "node_1549", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.45 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.4498557344185, "fos_buckling": 1.569097714957239, "fos_yielding": 4.1549702721537685, "deflection": 0.0014492028197449925, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.167)" }, "parent_node_id": "node_1548", "improvement_over_parent": null }, "node_1550": { "node_id": "node_1550", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1549", "improvement_over_parent": null }, "node_1551": { "node_id": "node_1551", "content": "INITIAL DESIGN (Trace 226)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0045)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1552": { "node_id": "node_1552", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0045)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n\nPerformance:\n Mass: 122.21 kg\n Factor of Safety: 0.05\n Max Deflection: 8.04e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.20749729598295, "fos_buckling": 0.047999652287445294, "fos_yielding": 1.1246316862579493, "deflection": 0.008035080916821459, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001761)" }, "parent_node_id": "node_1551", "improvement_over_parent": null }, "node_1553": { "node_id": "node_1553", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0045)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0043)]\n\nPerformance:\n Mass: 155.30 kg\n Factor of Safety: 1.06\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.29832330248453, "fos_buckling": 1.0637929287959027, "fos_yielding": 3.008350846134124, "deflection": 0.0019644309409153774, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004279)" }, "parent_node_id": "node_1552", "improvement_over_parent": null }, "node_1554": { "node_id": "node_1554", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0045)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0043)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n\nPerformance:\n Mass: 164.82 kg\n Factor of Safety: 1.04\n Max Deflection: 1.93e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.8189381088382, "fos_buckling": 1.0436657886707286, "fos_yielding": 2.951432344998416, "deflection": 0.0019269770932546476, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002295)" }, "parent_node_id": "node_1553", "improvement_over_parent": null }, "node_1555": { "node_id": "node_1555", "content": "MODIFICATION: Increase 6 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0045)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0024)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0043)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n\nPerformance:\n Mass: 166.40 kg\n Factor of Safety: 1.04\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.4006002031156, "fos_buckling": 1.0439210080633037, "fos_yielding": 2.9521540921118063, "deflection": 0.0019243420810513396, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.264)" }, "parent_node_id": "node_1554", "improvement_over_parent": null }, "node_1556": { "node_id": "node_1556", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0028)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n\nPerformance:\n Mass: 192.08 kg\n Factor of Safety: 1.19\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.07657163638362, "fos_buckling": 1.1874843000618678, "fos_yielding": 3.413026674844967, "deflection": 0.0016698330422965525, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.167)" }, "parent_node_id": "node_1555", "improvement_over_parent": null }, "node_1557": { "node_id": "node_1557", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0032)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 219.21 kg\n Factor of Safety: 1.33\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 219.20510083491868, "fos_buckling": 1.3340199710720813, "fos_yielding": 3.9019548226039387, "deflection": 0.0014657037785410839, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.155)" }, "parent_node_id": "node_1556", "improvement_over_parent": null }, "node_1558": { "node_id": "node_1558", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1557", "improvement_over_parent": null }, "node_1559": { "node_id": "node_1559", "content": "INITIAL DESIGN (Trace 227)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0018)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0023)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0024)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n\nPerformance:\n Mass: 76.93 kg\n Factor of Safety: 0.06\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 76.93483881347753, "fos_buckling": 0.061453312293173884, "fos_yielding": 0.9364993711314507, "deflection": 0.011248569142757242, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1560": { "node_id": "node_1560", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0028)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n\nPerformance:\n Mass: 89.26 kg\n Factor of Safety: 0.07\n Max Deflection: 9.70e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 89.25911712778071, "fos_buckling": 0.07042192810355373, "fos_yielding": 1.0854752801106882, "deflection": 0.009702026047273596, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.167)" }, "parent_node_id": "node_1559", "improvement_over_parent": null }, "node_1561": { "node_id": "node_1561", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n\nPerformance:\n Mass: 114.78 kg\n Factor of Safety: 0.09\n Max Deflection: 7.56e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.77600603380814, "fos_buckling": 0.08822926081242108, "fos_yielding": 1.3930058397833003, "deflection": 0.00755568748297377, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.302)" }, "parent_node_id": "node_1560", "improvement_over_parent": null }, "node_1562": { "node_id": "node_1562", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n\nPerformance:\n Mass: 137.65 kg\n Factor of Safety: 0.94\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": 137.64604655875934, "fos_buckling": 0.9353997656040395, "fos_yielding": 2.678525908520662, "deflection": 0.0024201589621019324, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.002931)" }, "parent_node_id": "node_1561", "improvement_over_parent": null }, "node_1563": { "node_id": "node_1563", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 169.16 kg\n Factor of Safety: 1.13\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": 169.16464409559205, "fos_buckling": 1.1255352319703964, "fos_yielding": 3.288113458452046, "deflection": 0.0019720324543521656, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.245)" }, "parent_node_id": "node_1562", "improvement_over_parent": null }, "node_1564": { "node_id": "node_1564", "content": "MODIFICATION: Increase 0 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 171.32 kg\n Factor of Safety: 1.13\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": 171.32115378219123, "fos_buckling": 1.1275015372953157, "fos_yielding": 3.2966409299683264, "deflection": 0.0019184881218983223, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.192)" }, "parent_node_id": "node_1563", "improvement_over_parent": null }, "node_1565": { "node_id": "node_1565", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 216.24 kg\n Factor of Safety: 1.38\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.24454286089144, "fos_buckling": 1.3805595767815686, "fos_yielding": 4.154985836435805, "deflection": 0.0015234520719626722, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.287)" }, "parent_node_id": "node_1564", "improvement_over_parent": null }, "node_1566": { "node_id": "node_1566", "content": "MODIFICATION: Increase 10 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.23 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.22537371465484, "fos_buckling": 1.5677330791382311, "fos_yielding": 4.150989514805254, "deflection": 0.0014507256454785518, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.215)" }, "parent_node_id": "node_1565", "improvement_over_parent": null }, "node_1567": { "node_id": "node_1567", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1566", "improvement_over_parent": null }, "node_1568": { "node_id": "node_1568", "content": "INITIAL DESIGN (Trace 228)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n\nPerformance:\n Mass: 103.13 kg\n Factor of Safety: 0.27\n Max Deflection: 4.65e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 103.1286420450097, "fos_buckling": 0.26773651241205465, "fos_yielding": 1.466753307399633, "deflection": 46524568765969.48, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1569": { "node_id": "node_1569", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n\nPerformance:\n Mass: 107.24 kg\n Factor of Safety: 0.02\n Max Deflection: 2.29e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 107.23980233759426, "fos_buckling": 0.016709174260038144, "fos_yielding": 0.4634904186031721, "deflection": 22877206903301.45, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001661)" }, "parent_node_id": "node_1568", "improvement_over_parent": null }, "node_1570": { "node_id": "node_1570", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 127.15 kg\n Factor of Safety: 0.08\n Max Deflection: 2.48e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.1523189635558, "fos_buckling": 0.07638544215458631, "fos_yielding": 1.1025534460480146, "deflection": 24806929031094.242, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.199)" }, "parent_node_id": "node_1569", "improvement_over_parent": null }, "node_1571": { "node_id": "node_1571", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 160.94 kg\n Factor of Safety: 1.20\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": 160.93556067674203, "fos_buckling": 1.2026466397466204, "fos_yielding": 3.323953464057151, "deflection": 0.002039917515038298, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004431)" }, "parent_node_id": "node_1570", "improvement_over_parent": null }, "node_1572": { "node_id": "node_1572", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n\nPerformance:\n Mass: 163.75 kg\n Factor of Safety: 0.87\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": 163.75174832785112, "fos_buckling": 0.865035477832883, "fos_yielding": 3.2671478536295133, "deflection": 0.0019630527497188056, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001529)" }, "parent_node_id": "node_1571", "improvement_over_parent": null }, "node_1573": { "node_id": "node_1573", "content": "MODIFICATION: Increase 0 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n\nPerformance:\n Mass: 166.87 kg\n Factor of Safety: 1.12\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": 166.87241357973954, "fos_buckling": 1.1191712648172438, "fos_yielding": 3.2797444128975837, "deflection": 0.001882995658560191, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.302)" }, "parent_node_id": "node_1572", "improvement_over_parent": null }, "node_1574": { "node_id": "node_1574", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 210.80 kg\n Factor of Safety: 1.34\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.79979319966887, "fos_buckling": 1.340140492037039, "fos_yielding": 4.139648136262459, "deflection": 0.0014951474482751963, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.289)" }, "parent_node_id": "node_1573", "improvement_over_parent": null }, "node_1575": { "node_id": "node_1575", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.35 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.34815081976512, "fos_buckling": 1.568754005840006, "fos_yielding": 4.152748814993181, "deflection": 0.0014497949823411077, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_1574", "improvement_over_parent": null }, "node_1576": { "node_id": "node_1576", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1575", "improvement_over_parent": null }, "node_1577": { "node_id": "node_1577", "content": "INITIAL DESIGN (Trace 229)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n\nPerformance:\n Mass: 89.25 kg\n Factor of Safety: 0.02\n Max Deflection: 4.20e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 89.249149036727, "fos_buckling": 0.017479707600949614, "fos_yielding": 0.2703169871072125, "deflection": 41983942161538.8, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1578": { "node_id": "node_1578", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0035)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n\nPerformance:\n Mass: 101.72 kg\n Factor of Safety: 0.16\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": 101.71575566433452, "fos_buckling": 0.15799996422093013, "fos_yielding": 2.1625358968577, "deflection": 13734314949683.535, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.147)" }, "parent_node_id": "node_1577", "improvement_over_parent": null }, "node_1579": { "node_id": "node_1579", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0035)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n\nPerformance:\n Mass: 127.63 kg\n Factor of Safety: 0.98\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": 127.62762329023428, "fos_buckling": 0.9778053760845838, "fos_yielding": 2.4981087596789577, "deflection": 0.002458158206287202, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003301)" }, "parent_node_id": "node_1578", "improvement_over_parent": null }, "node_1580": { "node_id": "node_1580", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n\nPerformance:\n Mass: 156.24 kg\n Factor of Safety: 1.17\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": 156.2377752877091, "fos_buckling": 1.167648479014235, "fos_yielding": 3.057100008149719, "deflection": 0.002011948165994577, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.239)" }, "parent_node_id": "node_1579", "improvement_over_parent": null }, "node_1581": { "node_id": "node_1581", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n\nPerformance:\n Mass: 177.12 kg\n Factor of Safety: 1.30\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.1195059762654, "fos_buckling": 1.2995152698102796, "fos_yielding": 3.46485906546902, "deflection": 0.001777274637804644, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_1580", "improvement_over_parent": null }, "node_1582": { "node_id": "node_1582", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 214.70 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 214.69890923538023, "fos_buckling": 1.5226905228712615, "fos_yielding": 4.198180380695797, "deflection": 0.0014699453698616347, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.233)" }, "parent_node_id": "node_1581", "improvement_over_parent": null }, "node_1583": { "node_id": "node_1583", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.31 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.3120138501409, "fos_buckling": 1.5685144822324504, "fos_yielding": 4.1529684800149, "deflection": 0.001450183408377932, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_1582", "improvement_over_parent": null }, "node_1584": { "node_id": "node_1584", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1583", "improvement_over_parent": null }, "node_1585": { "node_id": "node_1585", "content": "INITIAL DESIGN (Trace 230)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0026)]\n\nPerformance:\n Mass: 149.83 kg\n Factor of Safety: 0.74\n Max Deflection: 2.19e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.82870177979967, "fos_buckling": 0.7368361502085385, "fos_yielding": 2.0315638276570582, "deflection": 0.0021874765631028073, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1586": { "node_id": "node_1586", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 194.63 kg\n Factor of Safety: 0.92\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.631399490503, "fos_buckling": 0.919784703459702, "fos_yielding": 2.6540726651260416, "deflection": 0.001687063054698471, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.325)" }, "parent_node_id": "node_1585", "improvement_over_parent": null }, "node_1587": { "node_id": "node_1587", "content": "MODIFICATION: Increase 10 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 210.27 kg\n Factor of Safety: 1.07\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.27376305837936, "fos_buckling": 1.0742078336678142, "fos_yielding": 2.646964104310403, "deflection": 0.0016270902169060937, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.634)" }, "parent_node_id": "node_1586", "improvement_over_parent": null }, "node_1588": { "node_id": "node_1588", "content": "MODIFICATION: Increase 4 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.35 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.35028694616182, "fos_buckling": 1.569202311108893, "fos_yielding": 4.150223619831357, "deflection": 0.0014496745108149626, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.653)" }, "parent_node_id": "node_1587", "improvement_over_parent": null }, "node_1589": { "node_id": "node_1589", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 231)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 162.93 kg\n Factor of Safety: 1.45\n Max Deflection: 8.57e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.93085295374152, "fos_buckling": 1.4522942216712833, "fos_yielding": 3.81963809304762, "deflection": 8573580369403.033, "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 1 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 166.78 kg\n Factor of Safety: 0.47\n Max Deflection: 5.07e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.78427580527918, "fos_buckling": 0.47199521612190465, "fos_yielding": 4.025707284303508, "deflection": 5068159037556.479, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.309)" }, "parent_node_id": "node_1590", "improvement_over_parent": null }, "node_1592": { "node_id": "node_1592", "content": "MODIFICATION: Increase 2 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 168.05 kg\n Factor of Safety: 0.26\n Max Deflection: 3.32e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.0541933828641, "fos_buckling": 0.25747317551895854, "fos_yielding": 4.1838571832396765, "deflection": 3315737818251.3135, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.610)" }, "parent_node_id": "node_1591", "improvement_over_parent": null }, "node_1593": { "node_id": "node_1593", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 180.60 kg\n Factor of Safety: 0.13\n Max Deflection: 4.84e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.60255100296035, "fos_buckling": 0.127884311792929, "fos_yielding": 2.148219241400454, "deflection": 0.004836715112370121, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_1592", "improvement_over_parent": null }, "node_1594": { "node_id": "node_1594", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.25 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25451935433375, "fos_buckling": 1.5681030588640603, "fos_yielding": 4.151353029580505, "deflection": 0.0014504634682890299, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_1593", "improvement_over_parent": null }, "node_1595": { "node_id": "node_1595", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1594", "improvement_over_parent": null }, "node_1596": { "node_id": "node_1596", "content": "INITIAL DESIGN (Trace 232)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 192.70 kg\n Factor of Safety: 1.35\n Max Deflection: 1.70e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.7040822126958, "fos_buckling": 1.3500300545055859, "fos_yielding": 3.7467089845562622, "deflection": 0.0017039998099387223, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1597": { "node_id": "node_1597", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 216.21 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.2120686388828, "fos_buckling": 1.484101206687187, "fos_yielding": 4.201599362738235, "deflection": 0.0015204374872192154, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.134)" }, "parent_node_id": "node_1596", "improvement_over_parent": null }, "node_1598": { "node_id": "node_1598", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 222.37 kg\n Factor of Safety: 1.50\n Max Deflection: 1.45e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 222.36588337718064, "fos_buckling": 1.4953997546521283, "fos_yielding": 4.154741117165217, "deflection": 0.0014520048949635189, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_1597", "improvement_over_parent": null }, "node_1599": { "node_id": "node_1599", "content": "MODIFICATION: Increase 2 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.25 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.24698544925127, "fos_buckling": 1.567961092515526, "fos_yielding": 4.151168806763576, "deflection": 0.001450502757025576, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.362)" }, "parent_node_id": "node_1598", "improvement_over_parent": null }, "node_1600": { "node_id": "node_1600", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1599", "improvement_over_parent": null }, "node_1601": { "node_id": "node_1601", "content": "INITIAL DESIGN (Trace 233)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 204.82 kg\n Factor of Safety: 1.31\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.81540371016516, "fos_buckling": 1.3121395526706767, "fos_yielding": 3.3264948331712634, "deflection": 0.0015366107751519894, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1602": { "node_id": "node_1602", "content": "MODIFICATION: Increase 7 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 206.89 kg\n Factor of Safety: 1.31\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.88883346678958, "fos_buckling": 1.311966656098206, "fos_yielding": 3.3260565112307146, "deflection": 0.0015368563329661734, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.431)" }, "parent_node_id": "node_1601", "improvement_over_parent": null }, "node_1603": { "node_id": "node_1603", "content": "MODIFICATION: Increase 7 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 208.24 kg\n Factor of Safety: 1.31\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.24407716271418, "fos_buckling": 1.3118536713503413, "fos_yielding": 3.32577007585939, "deflection": 0.00153701683547589, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.205)" }, "parent_node_id": "node_1602", "improvement_over_parent": null }, "node_1604": { "node_id": "node_1604", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 211.80 kg\n Factor of Safety: 1.31\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.7984844984122, "fos_buckling": 1.309003477599317, "fos_yielding": 3.318544354504507, "deflection": 0.0015337401393377545, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_1603", "improvement_over_parent": null }, "node_1605": { "node_id": "node_1605", "content": "MODIFICATION: Increase 1 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 215.98 kg\n Factor of Safety: 1.31\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.98451220678402, "fos_buckling": 1.3077948423448027, "fos_yielding": 3.315480260505399, "deflection": 0.0014654250946450446, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.344)" }, "parent_node_id": "node_1604", "improvement_over_parent": null }, "node_1606": { "node_id": "node_1606", "content": "MODIFICATION: Increase 4 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 217.54 kg\n Factor of Safety: 1.31\n Max Deflection: 1.46e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.54383707974318, "fos_buckling": 1.3069730465377678, "fos_yielding": 3.3133968696797362, "deflection": 0.0014621784088536764, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.287)" }, "parent_node_id": "node_1605", "improvement_over_parent": null }, "node_1607": { "node_id": "node_1607", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1606", "improvement_over_parent": null }, "node_1608": { "node_id": "node_1608", "content": "INITIAL DESIGN (Trace 234)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n\nPerformance:\n Mass: 120.34 kg\n Factor of Safety: 0.57\n Max Deflection: 1.78e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.33944136289294, "fos_buckling": 0.569273766142893, "fos_yielding": 2.4840314555689753, "deflection": 17837897429263.53, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1609": { "node_id": "node_1609", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 144.82 kg\n Factor of Safety: 0.42\n Max Deflection: 5.82e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.822858683546, "fos_buckling": 0.41687542980482706, "fos_yielding": 3.7388396648574513, "deflection": 5815256983568.843, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.220)" }, "parent_node_id": "node_1608", "improvement_over_parent": null }, "node_1610": { "node_id": "node_1610", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 181.57 kg\n Factor of Safety: 1.20\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.57282197069594, "fos_buckling": 1.1958704703459424, "fos_yielding": 3.568038203329482, "deflection": 0.0017323992133282315, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004852)" }, "parent_node_id": "node_1609", "improvement_over_parent": null }, "node_1611": { "node_id": "node_1611", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 210.66 kg\n Factor of Safety: 1.34\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.66421743397487, "fos_buckling": 1.339040743996751, "fos_yielding": 4.137413130527399, "deflection": 0.0014961723233272424, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.176)" }, "parent_node_id": "node_1610", "improvement_over_parent": null }, "node_1612": { "node_id": "node_1612", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.21 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.21257505407112, "fos_buckling": 1.5677006211305144, "fos_yielding": 4.150515891825119, "deflection": 0.0014507549358125074, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_1611", "improvement_over_parent": null }, "node_1613": { "node_id": "node_1613", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1612", "improvement_over_parent": null }, "node_1614": { "node_id": "node_1614", "content": "INITIAL DESIGN (Trace 235)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 150.40 kg\n Factor of Safety: 0.97\n Max Deflection: 2.12e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.3968302571356, "fos_buckling": 0.9716169627852491, "fos_yielding": 2.7212865253517236, "deflection": 0.002118152615974538, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1615": { "node_id": "node_1615", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 170.71 kg\n Factor of Safety: 1.09\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.7087619316237, "fos_buckling": 1.0904029618690534, "fos_yielding": 3.092997837522925, "deflection": 0.0018684147891421966, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.145)" }, "parent_node_id": "node_1614", "improvement_over_parent": null }, "node_1616": { "node_id": "node_1616", "content": "MODIFICATION: Increase 5 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 176.36 kg\n Factor of Safety: 1.25\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.362947079653, "fos_buckling": 1.2489739918614373, "fos_yielding": 3.416560880826527, "deflection": 0.0018680898055194954, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.319)" }, "parent_node_id": "node_1615", "improvement_over_parent": null }, "node_1617": { "node_id": "node_1617", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 181.36 kg\n Factor of Safety: 1.32\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.36462980549663, "fos_buckling": 1.3202783418941095, "fos_yielding": 3.3750530003608707, "deflection": 0.0017807032814900507, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002048)" }, "parent_node_id": "node_1616", "improvement_over_parent": null }, "node_1618": { "node_id": "node_1618", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.16 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.1559132997005, "fos_buckling": 1.5674208468130004, "fos_yielding": 4.149652574322825, "deflection": 0.0014510419244131159, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.253)" }, "parent_node_id": "node_1617", "improvement_over_parent": null }, "node_1619": { "node_id": "node_1619", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1618", "improvement_over_parent": null }, "node_1620": { "node_id": "node_1620", "content": "INITIAL DESIGN (Trace 236)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 123.60 kg\n Factor of Safety: 0.04\n Max Deflection: 4.23e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.60296580033253, "fos_buckling": 0.03783333306992126, "fos_yielding": 0.2703169871072125, "deflection": 42297519993561.75, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1621": { "node_id": "node_1621", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n\nPerformance:\n Mass: 146.87 kg\n Factor of Safety: 0.86\n Max Deflection: 2.21e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.8677332823537, "fos_buckling": 0.8642353464452922, "fos_yielding": 2.84255391929714, "deflection": 0.0022077673063804126, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.002984)" }, "parent_node_id": "node_1620", "improvement_over_parent": null }, "node_1622": { "node_id": "node_1622", "content": "MODIFICATION: Increase 6 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n\nPerformance:\n Mass: 152.70 kg\n Factor of Safety: 0.86\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": 152.69934989952512, "fos_buckling": 0.8642353464452922, "fos_yielding": 2.84255391929714, "deflection": 0.0022077673063804126, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.316)" }, "parent_node_id": "node_1621", "improvement_over_parent": null }, "node_1623": { "node_id": "node_1623", "content": "MODIFICATION: Increase 4 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n\nPerformance:\n Mass: 158.31 kg\n Factor of Safety: 0.83\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": 158.3088558119058, "fos_buckling": 0.8300697491969405, "fos_yielding": 3.483111503272464, "deflection": 0.0021860170932662395, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.252)" }, "parent_node_id": "node_1622", "improvement_over_parent": null }, "node_1624": { "node_id": "node_1624", "content": "MODIFICATION: Increase 7 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n\nPerformance:\n Mass: 165.43 kg\n Factor of Safety: 0.86\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": 165.4271259224958, "fos_buckling": 0.8635833748401707, "fos_yielding": 3.502599447491537, "deflection": 0.002078696221901633, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.258)" }, "parent_node_id": "node_1623", "improvement_over_parent": null }, "node_1625": { "node_id": "node_1625", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n\nPerformance:\n Mass: 176.04 kg\n Factor of Safety: 0.89\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": 176.03872190029156, "fos_buckling": 0.8857954369596253, "fos_yielding": 3.5225648761059962, "deflection": 0.0019439928754663967, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002579)" }, "parent_node_id": "node_1624", "improvement_over_parent": null }, "node_1626": { "node_id": "node_1626", "content": "MODIFICATION: Increase 10 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0041)]\n\nPerformance:\n Mass: 181.57 kg\n Factor of Safety: 0.77\n Max Deflection: 1.93e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.57475077470497, "fos_buckling": 0.7743367199936473, "fos_yielding": 3.525257779502246, "deflection": 0.001925333957910641, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.592)" }, "parent_node_id": "node_1625", "improvement_over_parent": null }, "node_1627": { "node_id": "node_1627", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0049)]\n\nPerformance:\n Mass: 214.61 kg\n Factor of Safety: 0.89\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.60787904352296, "fos_buckling": 0.8932343472741322, "fos_yielding": 4.16438714272511, "deflection": 0.001629382813724277, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.200)" }, "parent_node_id": "node_1626", "improvement_over_parent": null }, "node_1628": { "node_id": "node_1628", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1627", "improvement_over_parent": null }, "node_1629": { "node_id": "node_1629", "content": "INITIAL DESIGN (Trace 237)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0010)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0031)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0024)]\n\nPerformance:\n Mass: 110.45 kg\n Factor of Safety: 0.69\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": 110.45319577093193, "fos_buckling": 0.6927796489729198, "fos_yielding": 2.326249180732622, "deflection": 0.0029796510496139833, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1630": { "node_id": "node_1630", "content": "MODIFICATION: Increase 0 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0010)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0031)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0024)]\n\nPerformance:\n Mass: 112.56 kg\n Factor of Safety: 0.72\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": 112.56166238661348, "fos_buckling": 0.717441972609373, "fos_yielding": 2.3342267377426515, "deflection": 0.00287281359002911, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.277)" }, "parent_node_id": "node_1629", "improvement_over_parent": null }, "node_1631": { "node_id": "node_1631", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n\nPerformance:\n Mass: 143.52 kg\n Factor of Safety: 0.90\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": 143.51770184416853, "fos_buckling": 0.8964559346289452, "fos_yielding": 2.9724255758559375, "deflection": 0.0022564931693149215, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.292)" }, "parent_node_id": "node_1630", "improvement_over_parent": null }, "node_1632": { "node_id": "node_1632", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n\nPerformance:\n Mass: 152.52 kg\n Factor of Safety: 0.88\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": 152.520798863777, "fos_buckling": 0.8848129894300429, "fos_yielding": 2.9882589457087936, "deflection": 0.0021634700111449615, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002162)" }, "parent_node_id": "node_1631", "improvement_over_parent": null }, "node_1633": { "node_id": "node_1633", "content": "MODIFICATION: Increase 5 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n\nPerformance:\n Mass: 153.70 kg\n Factor of Safety: 0.99\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": 153.70121532212005, "fos_buckling": 0.9890168332649505, "fos_yielding": 2.983727412916294, "deflection": 0.002150499255219527, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.389)" }, "parent_node_id": "node_1632", "improvement_over_parent": null }, "node_1634": { "node_id": "node_1634", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n\nPerformance:\n Mass: 192.90 kg\n Factor of Safety: 1.20\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.90131116948885, "fos_buckling": 1.197107967710925, "fos_yielding": 3.739575438882654, "deflection": 0.0017166980648426861, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.276)" }, "parent_node_id": "node_1633", "improvement_over_parent": null }, "node_1635": { "node_id": "node_1635", "content": "MODIFICATION: Increase 10 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0035)]\n\nPerformance:\n Mass: 195.74 kg\n Factor of Safety: 1.11\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.73846368908147, "fos_buckling": 1.1059648555514112, "fos_yielding": 3.740829407941082, "deflection": 0.0017101565678132279, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.280)" }, "parent_node_id": "node_1634", "improvement_over_parent": null }, "node_1636": { "node_id": "node_1636", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0040)]\n\nPerformance:\n Mass: 217.85 kg\n Factor of Safety: 1.21\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.85367064173377, "fos_buckling": 1.2072967703046429, "fos_yielding": 4.161147770250909, "deflection": 0.0015378869500136088, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.124)" }, "parent_node_id": "node_1635", "improvement_over_parent": null }, "node_1637": { "node_id": "node_1637", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1636", "improvement_over_parent": null }, "node_1638": { "node_id": "node_1638", "content": "INITIAL DESIGN (Trace 238)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, 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_1639": { "node_id": "node_1639", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 149.37 kg\n Factor of Safety: 0.08\n Max Deflection: 2.10e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.37175332376694, "fos_buckling": 0.07529321632733474, "fos_yielding": 1.1025534460480146, "deflection": 20997294249740.97, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004927)" }, "parent_node_id": "node_1638", "improvement_over_parent": null }, "node_1640": { "node_id": "node_1640", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n\nPerformance:\n Mass: 152.32 kg\n Factor of Safety: 0.00\n Max Deflection: 3.64e+14 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.31939558685022, "fos_buckling": 0.0013183187823667202, "fos_yielding": 0.03789588748016257, "deflection": 363931960908620.25, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001300)" }, "parent_node_id": "node_1639", "improvement_over_parent": null }, "node_1641": { "node_id": "node_1641", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n\nPerformance:\n Mass: 174.38 kg\n Factor of Safety: 0.84\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": 174.37873526075862, "fos_buckling": 0.8421853507531234, "fos_yielding": 2.52820208567768, "deflection": 23888885350435.82, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.159)" }, "parent_node_id": "node_1640", "improvement_over_parent": null }, "node_1642": { "node_id": "node_1642", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 177.93 kg\n Factor of Safety: 0.06\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.93314259645663, "fos_buckling": 0.06037702062985365, "fos_yielding": 1.4761425203810572, "deflection": 0.006101610999742817, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_1641", "improvement_over_parent": null }, "node_1643": { "node_id": "node_1643", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 221.54 kg\n Factor of Safety: 1.38\n Max Deflection: 1.45e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.54419683921734, "fos_buckling": 1.3832898906297706, "fos_yielding": 4.15147053864613, "deflection": 0.0014547018443520768, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_1642", "improvement_over_parent": null }, "node_1644": { "node_id": "node_1644", "content": "MODIFICATION: Increase 3 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0040)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 224.59 kg\n Factor of Safety: 1.28\n Max Deflection: 1.45e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 224.5864815712355, "fos_buckling": 1.28298222810574, "fos_yielding": 4.146135769872368, "deflection": 0.0014485374791480769, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.577)" }, "parent_node_id": "node_1643", "improvement_over_parent": null }, "node_1645": { "node_id": "node_1645", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1644", "improvement_over_parent": null }, "node_1646": { "node_id": "node_1646", "content": "INITIAL DESIGN (Trace 239)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 134.71 kg\n Factor of Safety: 1.01\n Max Deflection: 2.38e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.70786360316788, "fos_buckling": 1.0051496263046447, "fos_yielding": 2.5749259916734584, "deflection": 0.002384705059364517, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1647": { "node_id": "node_1647", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n\nPerformance:\n Mass: 136.38 kg\n Factor of Safety: 1.02\n Max Deflection: 2.35e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.38174967229588, "fos_buckling": 1.0150000229621738, "fos_yielding": 2.551162616938259, "deflection": 0.0023549917706182787, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.000883)" }, "parent_node_id": "node_1646", "improvement_over_parent": null }, "node_1648": { "node_id": "node_1648", "content": "MODIFICATION: Increase 2 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n\nPerformance:\n Mass: 137.32 kg\n Factor of Safety: 1.03\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": 137.32169605307206, "fos_buckling": 1.0332575474537595, "fos_yielding": 2.551573950301121, "deflection": 0.0023511157733680775, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.318)" }, "parent_node_id": "node_1647", "improvement_over_parent": null }, "node_1649": { "node_id": "node_1649", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n\nPerformance:\n Mass: 174.72 kg\n Factor of Safety: 1.27\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.71608494992523, "fos_buckling": 1.2672632425132857, "fos_yielding": 3.2446134274713287, "deflection": 0.0018521175867949255, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.292)" }, "parent_node_id": "node_1648", "improvement_over_parent": null }, "node_1650": { "node_id": "node_1650", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0027)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n\nPerformance:\n Mass: 193.59 kg\n Factor of Safety: 1.38\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.5945302124469, "fos_buckling": 1.3783010145822747, "fos_yielding": 3.5942104997099555, "deflection": 0.00167342164556064, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.117)" }, "parent_node_id": "node_1649", "improvement_over_parent": null }, "node_1651": { "node_id": "node_1651", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n\nPerformance:\n Mass: 223.71 kg\n Factor of Safety: 1.55\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.7105601856115, "fos_buckling": 1.5459013060716766, "fos_yielding": 4.151523823756913, "deflection": 0.0014507817501114722, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.171)" }, "parent_node_id": "node_1650", "improvement_over_parent": null }, "node_1652": { "node_id": "node_1652", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1651", "improvement_over_parent": null }, "node_1653": { "node_id": "node_1653", "content": "INITIAL DESIGN (Trace 240)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\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_1654": { "node_id": "node_1654", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 218.08 kg\n Factor of Safety: 1.32\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.08421434285307, "fos_buckling": 1.3239241119160554, "fos_yielding": 4.137601388506008, "deflection": 0.0014966342472169118, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_1653", "improvement_over_parent": null }, "node_1655": { "node_id": "node_1655", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n\nPerformance:\n Mass: 221.35 kg\n Factor of Safety: 1.35\n Max Deflection: 1.46e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.35171066520627, "fos_buckling": 1.3536572430928462, "fos_yielding": 4.14977023280557, "deflection": 0.0014555890895281893, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001449)" }, "parent_node_id": "node_1654", "improvement_over_parent": null }, "node_1656": { "node_id": "node_1656", "content": "MODIFICATION: Increase 3 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0100)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n\nPerformance:\n Mass: 240.40 kg\n Factor of Safety: 0.87\n Max Deflection: 1.43e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 240.40475896027345, "fos_buckling": 0.8683338437269748, "fos_yielding": 4.82355770958256, "deflection": 0.0014346418620949347, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.639)" }, "parent_node_id": "node_1655", "improvement_over_parent": null }, "node_1657": { "node_id": "node_1657", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1656", "improvement_over_parent": null }, "node_1658": { "node_id": "node_1658", "content": "INITIAL DESIGN (Trace 241)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 198.50 kg\n Factor of Safety: 1.16\n Max Deflection: 1.58e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.5036746820092, "fos_buckling": 1.1612011254296288, "fos_yielding": 2.8907703410620202, "deflection": 0.0015807777942078109, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1659": { "node_id": "node_1659", "content": "MODIFICATION: Increase 4 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 209.45 kg\n Factor of Safety: 1.31\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.452685918327, "fos_buckling": 1.3139343581363294, "fos_yielding": 4.154253180727951, "deflection": 0.0015569141288428786, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.499)" }, "parent_node_id": "node_1658", "improvement_over_parent": null }, "node_1660": { "node_id": "node_1660", "content": "MODIFICATION: Increase 10 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 218.05 kg\n Factor of Safety: 1.42\n Max Deflection: 1.46e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.04524201547142, "fos_buckling": 1.4192550670075181, "fos_yielding": 4.150248510309335, "deflection": 0.0014595476825593797, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.277)" }, "parent_node_id": "node_1659", "improvement_over_parent": null }, "node_1661": { "node_id": "node_1661", "content": "MODIFICATION: Increase 9 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 222.32 kg\n Factor of Safety: 1.49\n Max Deflection: 1.45e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 222.32384299884833, "fos_buckling": 1.4896817106973559, "fos_yielding": 4.152176057341712, "deflection": 0.0014520519298292921, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.567)" }, "parent_node_id": "node_1660", "improvement_over_parent": null }, "node_1662": { "node_id": "node_1662", "content": "MODIFICATION: Increase 2 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.24 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.23643490129777, "fos_buckling": 1.568008591908919, "fos_yielding": 4.1484623238865215, "deflection": 0.0014504884988882634, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.379)" }, "parent_node_id": "node_1661", "improvement_over_parent": null }, "node_1663": { "node_id": "node_1663", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1662", "improvement_over_parent": null }, "node_1664": { "node_id": "node_1664", "content": "INITIAL DESIGN (Trace 242)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0035)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0023)]\n\nPerformance:\n Mass: 119.64 kg\n Factor of Safety: 0.70\n Max Deflection: 2.71e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.63800605672677, "fos_buckling": 0.7028354858103754, "fos_yielding": 2.484472437976439, "deflection": 0.002713554702146303, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1665": { "node_id": "node_1665", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n\nPerformance:\n Mass: 138.62 kg\n Factor of Safety: 0.80\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": 138.62267627620665, "fos_buckling": 0.8003963374759923, "fos_yielding": 2.8769291296398696, "deflection": 0.0023439456909608086, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.168)" }, "parent_node_id": "node_1664", "improvement_over_parent": null }, "node_1666": { "node_id": "node_1666", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n\nPerformance:\n Mass: 172.25 kg\n Factor of Safety: 0.96\n Max Deflection: 1.89e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.25299036391726, "fos_buckling": 0.9641819426122746, "fos_yielding": 3.570826779995423, "deflection": 0.0018891459926118077, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.261)" }, "parent_node_id": "node_1665", "improvement_over_parent": null }, "node_1667": { "node_id": "node_1667", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 202.51 kg\n Factor of Safety: 1.10\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.5057076922903, "fos_buckling": 1.1018364296031593, "fos_yielding": 4.193519278591311, "deflection": 0.001609036260042825, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.192)" }, "parent_node_id": "node_1666", "improvement_over_parent": null }, "node_1668": { "node_id": "node_1668", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 211.12 kg\n Factor of Safety: 1.15\n Max Deflection: 1.59e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.11881230705094, "fos_buckling": 1.1491911214189208, "fos_yielding": 4.156223150290052, "deflection": 0.0015940038897182254, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_1667", "improvement_over_parent": null }, "node_1669": { "node_id": "node_1669", "content": "MODIFICATION: Increase 10 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0037)]\n\nPerformance:\n Mass: 214.33 kg\n Factor of Safety: 1.15\n Max Deflection: 1.59e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.33381725349807, "fos_buckling": 1.1549196595596447, "fos_yielding": 4.150483639662384, "deflection": 0.0015921231214615398, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.429)" }, "parent_node_id": "node_1668", "improvement_over_parent": null }, "node_1670": { "node_id": "node_1670", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1669", "improvement_over_parent": null }, "node_1671": { "node_id": "node_1671", "content": "INITIAL DESIGN (Trace 243)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 136.41 kg\n Factor of Safety: 1.02\n Max Deflection: 2.41e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.4093791122872, "fos_buckling": 1.0180905740231783, "fos_yielding": 2.737055450726299, "deflection": 0.0024083553188378845, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1672": { "node_id": "node_1672", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n\nPerformance:\n Mass: 139.79 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": 139.7897568921338, "fos_buckling": 1.026412242092247, "fos_yielding": 2.7439915030276802, "deflection": 0.0024097696933761516, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001502)" }, "parent_node_id": "node_1671", "improvement_over_parent": null }, "node_1673": { "node_id": "node_1673", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n\nPerformance:\n Mass: 143.81 kg\n Factor of Safety: 0.96\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": 143.80976291069533, "fos_buckling": 0.9621496385548478, "fos_yielding": 2.7077435627506583, "deflection": 0.002285807226258342, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001622)" }, "parent_node_id": "node_1672", "improvement_over_parent": null }, "node_1674": { "node_id": "node_1674", "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n\nPerformance:\n Mass: 145.86 kg\n Factor of Safety: 1.09\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": 145.86422144104665, "fos_buckling": 1.0937127318313233, "fos_yielding": 2.7160530948782298, "deflection": 0.002209265761697172, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.225)" }, "parent_node_id": "node_1673", "improvement_over_parent": null }, "node_1675": { "node_id": "node_1675", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 187.92 kg\n Factor of Safety: 1.36\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.92055436808525, "fos_buckling": 1.3604703471493156, "fos_yielding": 3.496529183778834, "deflection": 0.0017193955408374352, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.311)" }, "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 (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.17 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.16842055305776, "fos_buckling": 1.567521348345345, "fos_yielding": 4.149751204127425, "deflection": 0.0014510474150296107, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.206)" }, "parent_node_id": "node_1675", "improvement_over_parent": null }, "node_1677": { "node_id": "node_1677", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1676", "improvement_over_parent": null }, "node_1678": { "node_id": "node_1678", "content": "INITIAL DESIGN (Trace 244)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 155.46 kg\n Factor of Safety: 1.06\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.46137673574586, "fos_buckling": 1.059590412200922, "fos_yielding": 2.6085333879972623, "deflection": 0.0019665271378561133, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1679": { "node_id": "node_1679", "content": "MODIFICATION: Increase 2 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 156.01 kg\n Factor of Safety: 1.06\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.01066335140038, "fos_buckling": 1.0595534001133968, "fos_yielding": 2.60844227046264, "deflection": 0.001966640512919707, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.264)" }, "parent_node_id": "node_1678", "improvement_over_parent": null }, "node_1680": { "node_id": "node_1680", "content": "MODIFICATION: Increase 7 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 158.26 kg\n Factor of Safety: 1.06\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.2585313994798, "fos_buckling": 1.0595534001133968, "fos_yielding": 2.60844227046264, "deflection": 0.0019681711308327174, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.318)" }, "parent_node_id": "node_1679", "improvement_over_parent": null }, "node_1681": { "node_id": "node_1681", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 165.00 kg\n Factor of Safety: 1.05\n Max Deflection: 1.93e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.9971903478715, "fos_buckling": 1.0525404238772602, "fos_yielding": 2.5911775024442174, "deflection": 0.0019294292543835473, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001965)" }, "parent_node_id": "node_1680", "improvement_over_parent": null }, "node_1682": { "node_id": "node_1682", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n\nPerformance:\n Mass: 169.05 kg\n Factor of Safety: 1.06\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.0450257320086, "fos_buckling": 1.0562352327166016, "fos_yielding": 2.6002735003965483, "deflection": 0.001866855716805378, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001820)" }, "parent_node_id": "node_1681", "improvement_over_parent": null }, "node_1683": { "node_id": "node_1683", "content": "MODIFICATION: Increase 4 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n\nPerformance:\n Mass: 170.27 kg\n Factor of Safety: 1.06\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.2711706960309, "fos_buckling": 1.0555621961931887, "fos_yielding": 2.598616597670317, "deflection": 0.0018625040172151747, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.279)" }, "parent_node_id": "node_1682", "improvement_over_parent": null }, "node_1684": { "node_id": "node_1684", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 217.67 kg\n Factor of Safety: 1.31\n Max Deflection: 1.46e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.66701535420646, "fos_buckling": 1.3138381633947367, "fos_yielding": 3.3337226524844796, "deflection": 0.001461820746097494, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.305)" }, "parent_node_id": "node_1683", "improvement_over_parent": null }, "node_1685": { "node_id": "node_1685", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1684", "improvement_over_parent": null }, "node_1686": { "node_id": "node_1686", "content": "INITIAL DESIGN (Trace 245)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 212.49 kg\n Factor of Safety: 1.46\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.488939550989, "fos_buckling": 1.4573534307106653, "fos_yielding": 4.195651391301074, "deflection": 0.001552671992766838, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1687": { "node_id": "node_1687", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 216.04 kg\n Factor of Safety: 1.46\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.043346886687, "fos_buckling": 1.4568068559521117, "fos_yielding": 4.144815532675499, "deflection": 0.0015004162210205953, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_1686", "improvement_over_parent": null }, "node_1688": { "node_id": "node_1688", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 221.22 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 221.21768976341568, "fos_buckling": 1.5693340214361464, "fos_yielding": 4.15709501810587, "deflection": 0.0014527509228919018, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_1687", "improvement_over_parent": null }, "node_1689": { "node_id": "node_1689", "content": "MODIFICATION: Increase 8 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0076)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 233.95 kg\n Factor of Safety: 1.57\n Max Deflection: 1.36e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 233.95225650136112, "fos_buckling": 1.5728976138827633, "fos_yielding": 4.152707556186076, "deflection": 0.0013639373856227735, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.340)" }, "parent_node_id": "node_1688", "improvement_over_parent": null }, "node_1690": { "node_id": "node_1690", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1689", "improvement_over_parent": null }, "node_1691": { "node_id": "node_1691", "content": "INITIAL DESIGN (Trace 246)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 129.04 kg\n Factor of Safety: 0.05\n Max Deflection: 9.38e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.03675910895322, "fos_buckling": 0.04708111849076728, "fos_yielding": 0.9825636847060645, "deflection": 0.009377866363233477, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1692": { "node_id": "node_1692", "content": "MODIFICATION: Increase 1 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 131.78 kg\n Factor of Safety: 0.05\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": 131.77939694655157, "fos_buckling": 0.04706739370849564, "fos_yielding": 0.9822772541140797, "deflection": 0.009264768887631149, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.285)" }, "parent_node_id": "node_1691", "improvement_over_parent": null }, "node_1693": { "node_id": "node_1693", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 146.10 kg\n Factor of Safety: 0.05\n Max Deflection: 8.36e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.10247650039105, "fos_buckling": 0.05140205605309385, "fos_yielding": 1.0900994791028888, "deflection": 0.008356064275317722, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.117)" }, "parent_node_id": "node_1692", "improvement_over_parent": null }, "node_1694": { "node_id": "node_1694", "content": "MODIFICATION: Increase 7 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 147.84 kg\n Factor of Safety: 0.05\n Max Deflection: 7.40e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.84456010336882, "fos_buckling": 0.05139254958428354, "fos_yielding": 1.2176500680068554, "deflection": 0.007404000631776413, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.351)" }, "parent_node_id": "node_1693", "improvement_over_parent": null }, "node_1695": { "node_id": "node_1695", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 179.49 kg\n Factor of Safety: 0.06\n Max Deflection: 6.11e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.4865757992373, "fos_buckling": 0.06033528570327624, "fos_yielding": 1.4749327640809868, "deflection": 0.006109581024447015, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.235)" }, "parent_node_id": "node_1694", "improvement_over_parent": null }, "node_1696": { "node_id": "node_1696", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.10 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.097630041998, "fos_buckling": 1.5670813310609335, "fos_yielding": 4.1481008511613275, "deflection": 0.0014514133775224262, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_1695", "improvement_over_parent": null }, "node_1697": { "node_id": "node_1697", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1696", "improvement_over_parent": null }, "node_1698": { "node_id": "node_1698", "content": "INITIAL DESIGN (Trace 247)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n\nPerformance:\n Mass: 147.44 kg\n Factor of Safety: 0.08\n Max Deflection: 7.39e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.44315629861683, "fos_buckling": 0.07918348838252036, "fos_yielding": 1.2351934626857033, "deflection": 0.007385118106315167, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1699": { "node_id": "node_1699", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n\nPerformance:\n Mass: 167.56 kg\n Factor of Safety: 0.09\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": 167.5610087291503, "fos_buckling": 0.08897757925308984, "fos_yielding": 1.4070005880288607, "deflection": 0.00648915640717544, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.149)" }, "parent_node_id": "node_1698", "improvement_over_parent": null }, "node_1700": { "node_id": "node_1700", "content": "MODIFICATION: Increase 6 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n\nPerformance:\n Mass: 174.09 kg\n Factor of Safety: 0.09\n Max Deflection: 6.32e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.0880102341882, "fos_buckling": 0.08897757925308981, "fos_yielding": 1.4070005880288603, "deflection": 0.006321742475694399, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.300)" }, "parent_node_id": "node_1699", "improvement_over_parent": null }, "node_1701": { "node_id": "node_1701", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 216.74 kg\n Factor of Safety: 1.54\n Max Deflection: 1.46e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 216.7399785855616, "fos_buckling": 1.5383782026330728, "fos_yielding": 4.146772315611056, "deflection": 0.0014620752967738004, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_1700", "improvement_over_parent": null }, "node_1702": { "node_id": "node_1702", "content": "MODIFICATION: Increase 9 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 221.39 kg\n Factor of Safety: 1.38\n Max Deflection: 1.46e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.39365517782187, "fos_buckling": 1.3842108662559673, "fos_yielding": 4.148616585716405, "deflection": 0.001455487985367384, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.647)" }, "parent_node_id": "node_1701", "improvement_over_parent": null }, "node_1703": { "node_id": "node_1703", "content": "MODIFICATION: Increase 3 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.18 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.17598315002363, "fos_buckling": 1.5678857905424337, "fos_yielding": 4.150047500121498, "deflection": 0.001450803692667078, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.577)" }, "parent_node_id": "node_1702", "improvement_over_parent": null }, "node_1704": { "node_id": "node_1704", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1703", "improvement_over_parent": null }, "node_1705": { "node_id": "node_1705", "content": "INITIAL DESIGN (Trace 248)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0032)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 153.94 kg\n Factor of Safety: 0.87\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": 153.9396691398643, "fos_buckling": 0.8662238082162812, "fos_yielding": 2.9574413441785334, "deflection": 0.0021461105597683117, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1706": { "node_id": "node_1706", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 171.32 kg\n Factor of Safety: 0.95\n Max Deflection: 1.93e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.32366398385955, "fos_buckling": 0.9480170768720714, "fos_yielding": 3.2896624566856776, "deflection": 0.001929983975195621, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.121)" }, "parent_node_id": "node_1705", "improvement_over_parent": null }, "node_1707": { "node_id": "node_1707", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 215.17 kg\n Factor of Safety: 1.14\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.16803235306998, "fos_buckling": 1.1408339152696223, "fos_yielding": 4.125865618458556, "deflection": 0.0015399575897769272, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.280)" }, "parent_node_id": "node_1706", "improvement_over_parent": null }, "node_1708": { "node_id": "node_1708", "content": "MODIFICATION: Increase 7 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.09 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.08882911604417, "fos_buckling": 1.5671305073652761, "fos_yielding": 4.14845467825192, "deflection": 0.0014515742049884814, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.244)" }, "parent_node_id": "node_1707", "improvement_over_parent": null }, "node_1709": { "node_id": "node_1709", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1708", "improvement_over_parent": null }, "node_1710": { "node_id": "node_1710", "content": "INITIAL DESIGN (Trace 249)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n\nPerformance:\n Mass: 136.08 kg\n Factor of Safety: 0.11\n Max Deflection: 6.43e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.0801310217661, "fos_buckling": 0.10914392859331662, "fos_yielding": 1.668942124603609, "deflection": 0.00642635570159101, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1711": { "node_id": "node_1711", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0045)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 165.17 kg\n Factor of Safety: 0.13\n Max Deflection: 5.30e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.17170474921642, "fos_buckling": 0.1279861289540159, "fos_yielding": 2.0322767377927384, "deflection": 0.0053010310911742065, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.233)" }, "parent_node_id": "node_1710", "improvement_over_parent": null }, "node_1712": { "node_id": "node_1712", "content": "MODIFICATION: Increase 4 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 173.66 kg\n Factor of Safety: 0.13\n Max Deflection: 5.31e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.66245005792817, "fos_buckling": 0.12798612895401576, "fos_yielding": 1.970621213022839, "deflection": 0.005312528417444109, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.351)" }, "parent_node_id": "node_1711", "improvement_over_parent": null }, "node_1713": { "node_id": "node_1713", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 216.31 kg\n Factor of Safety: 1.23\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.31441840930157, "fos_buckling": 1.229870326474443, "fos_yielding": 4.13682614834601, "deflection": 0.0015488279679095008, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_1712", "improvement_over_parent": null }, "node_1714": { "node_id": "node_1714", "content": "MODIFICATION: Increase 5 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 218.36 kg\n Factor of Safety: 1.15\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.35890972365087, "fos_buckling": 1.1510710687523211, "fos_yielding": 4.129389966249702, "deflection": 0.0015379634084749132, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.546)" }, "parent_node_id": "node_1713", "improvement_over_parent": null }, "node_1715": { "node_id": "node_1715", "content": "MODIFICATION: Increase 0 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.22 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.21660453051373, "fos_buckling": 1.5680272785904599, "fos_yielding": 4.151403277653693, "deflection": 0.001450826704853923, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.408)" }, "parent_node_id": "node_1714", "improvement_over_parent": null }, "node_1716": { "node_id": "node_1716", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1715", "improvement_over_parent": null }, "node_1717": { "node_id": "node_1717", "content": "INITIAL DESIGN (Trace 250)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 168.38 kg\n Factor of Safety: 1.19\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.3799524932414, "fos_buckling": 1.186776285620184, "fos_yielding": 3.3393723501250294, "deflection": 0.0018968208401434334, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1718": { "node_id": "node_1718", "content": "MODIFICATION: Increase 1 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 170.73 kg\n Factor of Safety: 1.26\n Max Deflection: 1.84e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.72698646556972, "fos_buckling": 1.260459400215536, "fos_yielding": 3.3393723501250294, "deflection": 0.0018427811690618413, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.217)" }, "parent_node_id": "node_1717", "improvement_over_parent": null }, "node_1719": { "node_id": "node_1719", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 177.58 kg\n Factor of Safety: 1.30\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.57734154850294, "fos_buckling": 1.296763799540268, "fos_yielding": 3.3045060709604015, "deflection": 0.0018182621085996462, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002000)" }, "parent_node_id": "node_1718", "improvement_over_parent": null }, "node_1720": { "node_id": "node_1720", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.19 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.1925326284777, "fos_buckling": 1.5675488418028738, "fos_yielding": 4.149972049627841, "deflection": 0.0014508188999532191, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.282)" }, "parent_node_id": "node_1719", "improvement_over_parent": null }, "node_1721": { "node_id": "node_1721", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 251)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n\nPerformance:\n Mass: 133.08 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": 133.07603637478266, "fos_buckling": 1.0044308116742993, "fos_yielding": 2.5131263382543523, "deflection": 0.0024615947032025475, "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 all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 157.09 kg\n Factor of Safety: 1.16\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.09319784749664, "fos_buckling": 1.1599686156215556, "fos_yielding": 2.965036881518301, "deflection": 0.002088006903254699, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.192)" }, "parent_node_id": "node_1722", "improvement_over_parent": null }, "node_1724": { "node_id": "node_1724", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 194.11 kg\n Factor of Safety: 1.38\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.10529610732266, "fos_buckling": 1.3824319941248715, "fos_yielding": 3.660439439150888, "deflection": 0.001693271408635278, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.255)" }, "parent_node_id": "node_1723", "improvement_over_parent": null }, "node_1725": { "node_id": "node_1725", "content": "MODIFICATION: Increase 1 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 196.65 kg\n Factor of Safety: 1.41\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.6547455555857, "fos_buckling": 1.4130878655896337, "fos_yielding": 3.658292312792544, "deflection": 0.001643856933630807, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.214)" }, "parent_node_id": "node_1724", "improvement_over_parent": null }, "node_1726": { "node_id": "node_1726", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.32 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.32266694029536, "fos_buckling": 1.5683000287563122, "fos_yielding": 4.152409085666475, "deflection": 0.0014499908787475126, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.149)" }, "parent_node_id": "node_1725", "improvement_over_parent": null }, "node_1727": { "node_id": "node_1727", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 252)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0018)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n\nPerformance:\n Mass: 106.31 kg\n Factor of Safety: 0.10\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": 106.31458256858318, "fos_buckling": 0.09603125061991173, "fos_yielding": 1.5327684931149381, "deflection": 0.007581812221755342, "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 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0021)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n\nPerformance:\n Mass: 122.93 kg\n Factor of Safety: 0.11\n Max Deflection: 6.56e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.92902206959208, "fos_buckling": 0.1087194039477416, "fos_yielding": 1.768622473613322, "deflection": 0.00656168896764283, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.167)" }, "parent_node_id": "node_1728", "improvement_over_parent": null }, "node_1730": { "node_id": "node_1730", "content": "MODIFICATION: Increase 1 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0021)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n\nPerformance:\n Mass: 125.93 kg\n Factor of Safety: 0.11\n Max Deflection: 6.56e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.92934783001489, "fos_buckling": 0.1086846946132188, "fos_yielding": 1.768057830073603, "deflection": 0.006562938088565844, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.284)" }, "parent_node_id": "node_1729", "improvement_over_parent": null }, "node_1731": { "node_id": "node_1731", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0021)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 160.87 kg\n Factor of Safety: 0.65\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": 160.86623016042824, "fos_buckling": 0.6480620063866738, "fos_yielding": 3.3849907530121555, "deflection": 0.002454603938672845, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004594)" }, "parent_node_id": "node_1730", "improvement_over_parent": null }, "node_1732": { "node_id": "node_1732", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0026)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 196.52 kg\n Factor of Safety: 0.79\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": 196.52418059993795, "fos_buckling": 0.7853017168085943, "fos_yielding": 4.161681566690221, "deflection": 0.0020058996133886634, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.242)" }, "parent_node_id": "node_1731", "improvement_over_parent": null }, "node_1733": { "node_id": "node_1733", "content": "MODIFICATION: Increase 6 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 207.77 kg\n Factor of Safety: 1.16\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.77028944166892, "fos_buckling": 1.1635001717597624, "fos_yielding": 4.194048771547839, "deflection": 0.0016479502274000363, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.585)" }, "parent_node_id": "node_1732", "improvement_over_parent": null }, "node_1734": { "node_id": "node_1734", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 211.32 kg\n Factor of Safety: 0.93\n Max Deflection: 1.60e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.32469677736694, "fos_buckling": 0.9277239181360514, "fos_yielding": 4.112882245631506, "deflection": 0.0015977812990499234, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_1733", "improvement_over_parent": null }, "node_1735": { "node_id": "node_1735", "content": "MODIFICATION: Increase 7 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0036)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 214.40 kg\n Factor of Safety: 0.82\n Max Deflection: 1.59e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.40259809082139, "fos_buckling": 0.8212624964412074, "fos_yielding": 4.101922970917055, "deflection": 0.0015916137354089705, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.410)" }, "parent_node_id": "node_1734", "improvement_over_parent": null }, "node_1736": { "node_id": "node_1736", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1735", "improvement_over_parent": null }, "node_1737": { "node_id": "node_1737", "content": "INITIAL DESIGN (Trace 253)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 203.98 kg\n Factor of Safety: 1.09\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.98236840981707, "fos_buckling": 1.0920161700134632, "fos_yielding": 3.105228223879832, "deflection": 0.0016115456306196275, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1738": { "node_id": "node_1738", "content": "MODIFICATION: Increase 8 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 206.29 kg\n Factor of Safety: 1.09\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.28765941084043, "fos_buckling": 1.092392473161716, "fos_yielding": 3.106298269533712, "deflection": 0.0016087013739163223, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.401)" }, "parent_node_id": "node_1737", "improvement_over_parent": null }, "node_1739": { "node_id": "node_1739", "content": "MODIFICATION: Increase 6 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 217.24 kg\n Factor of Safety: 1.24\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.24449518386967, "fos_buckling": 1.2423532205648578, "fos_yielding": 4.157680667783114, "deflection": 0.0015638718281323252, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.616)" }, "parent_node_id": "node_1738", "improvement_over_parent": null }, "node_1740": { "node_id": "node_1740", "content": "MODIFICATION: Increase 1 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.28 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.2787813950702, "fos_buckling": 1.5681692540213306, "fos_yielding": 4.151359786402836, "deflection": 0.0014504374209562483, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.575)" }, "parent_node_id": "node_1739", "improvement_over_parent": null }, "node_1741": { "node_id": "node_1741", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 254)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\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_1743": { "node_id": "node_1743", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n\nPerformance:\n Mass: 147.50 kg\n Factor of Safety: 0.22\n Max Deflection: 4.45e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.4974870723861, "fos_buckling": 0.21553321334085213, "fos_yielding": 3.743431604089297, "deflection": 4450678670305.368, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002748)" }, "parent_node_id": "node_1742", "improvement_over_parent": null }, "node_1744": { "node_id": "node_1744", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 164.64 kg\n Factor of Safety: 0.04\n Max Deflection: 3.23e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.63787128994736, "fos_buckling": 0.03680850016245716, "fos_yielding": 0.5512767230240074, "deflection": 32326280059259.13, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.127)" }, "parent_node_id": "node_1743", "improvement_over_parent": null }, "node_1745": { "node_id": "node_1745", "content": "MODIFICATION: Increase 6 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 175.45 kg\n Factor of Safety: 0.00\n Max Deflection: 9.74e+15 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.4535709937086, "fos_buckling": 8.637441296116407e-05, "fos_yielding": 0.002111851461775098, "deflection": 9743797417849012.0, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.362)" }, "parent_node_id": "node_1744", "improvement_over_parent": null }, "node_1746": { "node_id": "node_1746", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 218.11 kg\n Factor of Safety: 1.32\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.105539345082, "fos_buckling": 1.3233954900456828, "fos_yielding": 4.138302294991591, "deflection": 0.0014965541500884332, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_1745", "improvement_over_parent": null }, "node_1747": { "node_id": "node_1747", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 223.28 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.27988222181068, "fos_buckling": 1.5681071120009697, "fos_yielding": 4.152047087862249, "deflection": 0.001450357705276651, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_1746", "improvement_over_parent": null }, "node_1748": { "node_id": "node_1748", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1747", "improvement_over_parent": null }, "node_1749": { "node_id": "node_1749", "content": "INITIAL DESIGN (Trace 255)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 172.44 kg\n Factor of Safety: 0.13\n Max Deflection: 5.00e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.4429357303584, "fos_buckling": 0.12799492501318535, "fos_yielding": 2.1500773383380416, "deflection": 0.0049986506273576765, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1750": { "node_id": "node_1750", "content": "MODIFICATION: Increase 8 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 174.36 kg\n Factor of Safety: 0.13\n Max Deflection: 5.00e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.35948892045747, "fos_buckling": 0.12796892668107276, "fos_yielding": 2.149640614579626, "deflection": 0.004999456327757321, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.314)" }, "parent_node_id": "node_1749", "improvement_over_parent": null }, "node_1751": { "node_id": "node_1751", "content": "MODIFICATION: Increase 0 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 180.62 kg\n Factor of Safety: 0.13\n Max Deflection: 4.84e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.61546690540118, "fos_buckling": 0.1278841368541721, "fos_yielding": 2.1482163027538106, "deflection": 0.0048366246782619495, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.587)" }, "parent_node_id": "node_1750", "improvement_over_parent": null }, "node_1752": { "node_id": "node_1752", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.27 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.26743525677458, "fos_buckling": 1.568084112035204, "fos_yielding": 4.151340987748536, "deflection": 0.0014503814253800523, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_1751", "improvement_over_parent": null }, "node_1753": { "node_id": "node_1753", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1752", "improvement_over_parent": null }, "node_1754": { "node_id": "node_1754", "content": "INITIAL DESIGN (Trace 256)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0028)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0027)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0026)]\n\nPerformance:\n Mass: 106.40 kg\n Factor of Safety: 0.81\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": 106.40136973752605, "fos_buckling": 0.8129614531880155, "fos_yielding": 2.0345780116925543, "deflection": 0.0030132882290476513, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1755": { "node_id": "node_1755", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0031)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n\nPerformance:\n Mass: 124.25 kg\n Factor of Safety: 0.94\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": 124.24678711673754, "fos_buckling": 0.9352916310680632, "fos_yielding": 2.3752775608418673, "deflection": 0.0025836418457605335, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.176)" }, "parent_node_id": "node_1754", "improvement_over_parent": null }, "node_1756": { "node_id": "node_1756", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 140.23 kg\n Factor of Safety: 1.04\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": 140.23465044733118, "fos_buckling": 1.0415055750387328, "fos_yielding": 2.6803827754602003, "deflection": 0.002291585424009807, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.136)" }, "parent_node_id": "node_1755", "improvement_over_parent": null }, "node_1757": { "node_id": "node_1757", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 169.31 kg\n Factor of Safety: 1.23\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.3053457354228, "fos_buckling": 1.2264824670097663, "fos_yielding": 3.2348392456538786, "deflection": 0.0019018712082196942, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.222)" }, "parent_node_id": "node_1756", "improvement_over_parent": null }, "node_1758": { "node_id": "node_1758", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 219.44 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 219.44329427915056, "fos_buckling": 1.5209768956739234, "fos_yielding": 4.190149156993104, "deflection": 0.0014723442649057477, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.325)" }, "parent_node_id": "node_1757", "improvement_over_parent": null }, "node_1759": { "node_id": "node_1759", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.00 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 222.99770161484858, "fos_buckling": 1.566507691893546, "fos_yielding": 4.146429476212518, "deflection": 0.00145213142036685, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_1758", "improvement_over_parent": null }, "node_1760": { "node_id": "node_1760", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1759", "improvement_over_parent": null }, "node_1761": { "node_id": "node_1761", "content": "INITIAL DESIGN (Trace 257)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0031)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0008)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n\nPerformance:\n Mass: 121.02 kg\n Factor of Safety: 0.94\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": 121.02176651707194, "fos_buckling": 0.9371252133063135, "fos_yielding": 2.2981263464472055, "deflection": 0.0026235541368386235, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1762": { "node_id": "node_1762", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0009)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 145.26 kg\n Factor of Safety: 1.10\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": 145.260207306909, "fos_buckling": 1.1022611894074779, "fos_yielding": 2.7570073602840064, "deflection": 0.002189366796258702, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.212)" }, "parent_node_id": "node_1761", "improvement_over_parent": null }, "node_1763": { "node_id": "node_1763", "content": "MODIFICATION: Increase 8 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 145.89 kg\n Factor of Safety: 1.11\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": 145.8874879683232, "fos_buckling": 1.1051297935063231, "fos_yielding": 2.7547702152836906, "deflection": 0.0021871163276061655, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.199)" }, "parent_node_id": "node_1762", "improvement_over_parent": null }, "node_1764": { "node_id": "node_1764", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 175.53 kg\n Factor of Safety: 1.30\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.5264453403134, "fos_buckling": 1.296673128065877, "fos_yielding": 3.312380262976248, "deflection": 0.0018214186616132334, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.218)" }, "parent_node_id": "node_1763", "improvement_over_parent": null }, "node_1765": { "node_id": "node_1765", "content": "MODIFICATION: Increase 8 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 177.67 kg\n Factor of Safety: 1.30\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.66965636130612, "fos_buckling": 1.297400881527551, "fos_yielding": 3.3063027287466626, "deflection": 0.001817398822500539, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.488)" }, "parent_node_id": "node_1764", "improvement_over_parent": null }, "node_1766": { "node_id": "node_1766", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 222.99 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 222.98913994860916, "fos_buckling": 1.5664707138434095, "fos_yielding": 4.146308544799488, "deflection": 0.0014521788647277622, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.280)" }, "parent_node_id": "node_1765", "improvement_over_parent": null }, "node_1767": { "node_id": "node_1767", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1766", "improvement_over_parent": null }, "node_1768": { "node_id": "node_1768", "content": "INITIAL DESIGN (Trace 258)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 144.12 kg\n Factor of Safety: 0.94\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": 144.11792430407723, "fos_buckling": 0.9355823557613426, "fos_yielding": 2.9424362703766778, "deflection": 0.0022235270252870696, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1769": { "node_id": "node_1769", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n\nPerformance:\n Mass: 153.04 kg\n Factor of Safety: 1.12\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": 153.03892310275964, "fos_buckling": 1.1242481822888093, "fos_yielding": 2.949503365021464, "deflection": 0.0021606524052906633, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002141)" }, "parent_node_id": "node_1768", "improvement_over_parent": null }, "node_1770": { "node_id": "node_1770", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nPerformance:\n Mass: 172.16 kg\n Factor of Safety: 1.24\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.16351528934058, "fos_buckling": 1.2394067142421823, "fos_yielding": 3.316325301690637, "deflection": 0.0019224057963824624, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.134)" }, "parent_node_id": "node_1769", "improvement_over_parent": null }, "node_1771": { "node_id": "node_1771", "content": "MODIFICATION: Increase 0 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nPerformance:\n Mass: 175.95 kg\n Factor of Safety: 1.30\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.95054721455833, "fos_buckling": 1.3001473278010778, "fos_yielding": 3.3299591812551137, "deflection": 0.0018136638187770482, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.385)" }, "parent_node_id": "node_1770", "improvement_over_parent": null }, "node_1772": { "node_id": "node_1772", "content": "MODIFICATION: Increase 8 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nPerformance:\n Mass: 178.54 kg\n Factor of Safety: 1.30\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.53763008040298, "fos_buckling": 1.3027569733255973, "fos_yielding": 3.3223254394198913, "deflection": 0.0018086385009543232, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.645)" }, "parent_node_id": "node_1771", "improvement_over_parent": null }, "node_1773": { "node_id": "node_1773", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.42 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.41705783260497, "fos_buckling": 1.568858391243452, "fos_yielding": 4.154138032682109, "deflection": 0.0014494176441817378, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.276)" }, "parent_node_id": "node_1772", "improvement_over_parent": null }, "node_1774": { "node_id": "node_1774", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1773", "improvement_over_parent": null }, "node_1775": { "node_id": "node_1775", "content": "INITIAL DESIGN (Trace 259)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0031)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0009)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n\nPerformance:\n Mass: 118.26 kg\n Factor of Safety: 0.89\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": 118.26122649778873, "fos_buckling": 0.8882179243631876, "fos_yielding": 2.3233158612172917, "deflection": 0.002742711286351657, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1776": { "node_id": "node_1776", "content": "MODIFICATION: Increase 7 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0031)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n\nPerformance:\n Mass: 119.82 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": 119.82074454584603, "fos_buckling": 0.8892167622193056, "fos_yielding": 2.3237406545007997, "deflection": 0.002742677439281433, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.511)" }, "parent_node_id": "node_1775", "improvement_over_parent": null }, "node_1777": { "node_id": "node_1777", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 153.28 kg\n Factor of Safety: 1.11\n Max Deflection: 2.15e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.2779028046738, "fos_buckling": 1.1066598896375046, "fos_yielding": 2.9705033605066054, "deflection": 0.00214735660780114, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.297)" }, "parent_node_id": "node_1776", "improvement_over_parent": null }, "node_1778": { "node_id": "node_1778", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 193.42 kg\n Factor of Safety: 1.35\n Max Deflection: 1.70e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.4175326334285, "fos_buckling": 1.34991051285473, "fos_yielding": 3.7452477121722714, "deflection": 0.0017048990396788149, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.284)" }, "parent_node_id": "node_1777", "improvement_over_parent": null }, "node_1779": { "node_id": "node_1779", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n\nPerformance:\n Mass: 198.89 kg\n Factor of Safety: 1.43\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.8940242450466, "fos_buckling": 1.4264893589905652, "fos_yielding": 3.699896826179451, "deflection": 0.0016256414361530756, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002259)" }, "parent_node_id": "node_1778", "improvement_over_parent": null }, "node_1780": { "node_id": "node_1780", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.51 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.50781447512645, "fos_buckling": 1.5693883842787955, "fos_yielding": 4.155943831776581, "deflection": 0.0014488614533069064, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.136)" }, "parent_node_id": "node_1779", "improvement_over_parent": null }, "node_1781": { "node_id": "node_1781", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1780", "improvement_over_parent": null }, "node_1782": { "node_id": "node_1782", "content": "INITIAL DESIGN (Trace 260)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 127.20 kg\n Factor of Safety: 0.59\n Max Deflection: 2.19e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.20484198056967, "fos_buckling": 0.5933648107453595, "fos_yielding": 1.7882472358710308, "deflection": 21935053147832.504, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1783": { "node_id": "node_1783", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 161.04 kg\n Factor of Safety: 0.09\n Max Deflection: 5.32e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.03776563636785, "fos_buckling": 0.08844136758652016, "fos_yielding": 2.1625358968577, "deflection": 5324826628134.949, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.292)" }, "parent_node_id": "node_1782", "improvement_over_parent": null }, "node_1784": { "node_id": "node_1784", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 167.19 kg\n Factor of Safety: 0.06\n Max Deflection: 6.11e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.19158037466568, "fos_buckling": 0.06048222635273578, "fos_yielding": 1.4788892254714423, "deflection": 0.006107430551029765, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_1783", "improvement_over_parent": null }, "node_1785": { "node_id": "node_1785", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 179.74 kg\n Factor of Safety: 0.06\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.73993799476193, "fos_buckling": 0.06040183662100057, "fos_yielding": 1.4769235652226216, "deflection": 0.006099924852552708, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_1784", "improvement_over_parent": null }, "node_1786": { "node_id": "node_1786", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.35 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.35099223752263, "fos_buckling": 1.568663179069655, "fos_yielding": 4.153590917351525, "deflection": 0.0014498654106786116, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_1785", "improvement_over_parent": null }, "node_1787": { "node_id": "node_1787", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1786", "improvement_over_parent": null }, "node_1788": { "node_id": "node_1788", "content": "INITIAL DESIGN (Trace 261)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n\nPerformance:\n Mass: 164.94 kg\n Factor of Safety: 0.88\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.93788640612692, "fos_buckling": 0.883115774905153, "fos_yielding": 3.757566832272838, "deflection": 0.002049416825788846, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1789": { "node_id": "node_1789", "content": "MODIFICATION: Increase 8 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 179.30 kg\n Factor of Safety: 1.33\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.29672017496497, "fos_buckling": 1.333592221885538, "fos_yielding": 3.757566832272838, "deflection": 0.0017249496688035045, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.653)" }, "parent_node_id": "node_1788", "improvement_over_parent": null }, "node_1790": { "node_id": "node_1790", "content": "MODIFICATION: Increase 5 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 180.93 kg\n Factor of Safety: 1.33\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.92827670971468, "fos_buckling": 1.3331316485885791, "fos_yielding": 3.757566832272838, "deflection": 0.0017200013819641117, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.456)" }, "parent_node_id": "node_1789", "improvement_over_parent": null }, "node_1791": { "node_id": "node_1791", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n\nPerformance:\n Mass: 192.16 kg\n Factor of Safety: 1.39\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.16113181842636, "fos_buckling": 1.39174106669074, "fos_yielding": 3.757566832272838, "deflection": 0.001639666520709642, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002743)" }, "parent_node_id": "node_1790", "improvement_over_parent": null }, "node_1792": { "node_id": "node_1792", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 214.72 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 214.71865958948692, "fos_buckling": 1.5235652715227976, "fos_yielding": 4.197584129936096, "deflection": 0.0014696635044493325, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.129)" }, "parent_node_id": "node_1791", "improvement_over_parent": null }, "node_1793": { "node_id": "node_1793", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.33 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.33176420424758, "fos_buckling": 1.5686637898633273, "fos_yielding": 4.152446515439595, "deflection": 0.0014499416461373044, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_1792", "improvement_over_parent": null }, "node_1794": { "node_id": "node_1794", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1793", "improvement_over_parent": null }, "node_1795": { "node_id": "node_1795", "content": "INITIAL DESIGN (Trace 262)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0012)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0024)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0025)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n\nPerformance:\n Mass: 73.10 kg\n Factor of Safety: 0.75\n Max Deflection: 5.38e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 73.10072296453338, "fos_buckling": 0.750514902775416, "fos_yielding": 1.8487977047467594, "deflection": 5376999301804.196, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1796": { "node_id": "node_1796", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0016)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n\nPerformance:\n Mass: 94.83 kg\n Factor of Safety: 0.28\n Max Deflection: 4.48e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 94.82679365421511, "fos_buckling": 0.2767163955813975, "fos_yielding": 2.5097469182171013, "deflection": 4477464484930.192, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.312)" }, "parent_node_id": "node_1795", "improvement_over_parent": null }, "node_1797": { "node_id": "node_1797", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0016)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n\nPerformance:\n Mass: 119.81 kg\n Factor of Safety: 0.87\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": 119.81155343179582, "fos_buckling": 0.8746381511803962, "fos_yielding": 2.4272575957679274, "deflection": 0.002796675462510807, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.003216)" }, "parent_node_id": "node_1796", "improvement_over_parent": null }, "node_1798": { "node_id": "node_1798", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0043)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 156.04 kg\n Factor of Safety: 1.09\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": 156.0415182145237, "fos_buckling": 1.0904185420892731, "fos_yielding": 3.157989657784327, "deflection": 0.002150076814959298, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.323)" }, "parent_node_id": "node_1797", "improvement_over_parent": null }, "node_1799": { "node_id": "node_1799", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 175.27 kg\n Factor of Safety: 1.20\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.27102481790592, "fos_buckling": 1.1963413319243963, "fos_yielding": 3.545191712439781, "deflection": 0.0019154226346572698, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.133)" }, "parent_node_id": "node_1798", "improvement_over_parent": null }, "node_1800": { "node_id": "node_1800", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 204.53 kg\n Factor of Safety: 1.35\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.53499392424297, "fos_buckling": 1.346434799818037, "fos_yielding": 4.133565618389424, "deflection": 0.0016429154565278305, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.183)" }, "parent_node_id": "node_1799", "improvement_over_parent": null }, "node_1801": { "node_id": "node_1801", "content": "MODIFICATION: Increase 1 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 210.47 kg\n Factor of Safety: 1.34\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.474089069245, "fos_buckling": 1.3380190909418634, "fos_yielding": 4.133221169797946, "deflection": 0.0014973906240286113, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.562)" }, "parent_node_id": "node_1800", "improvement_over_parent": null }, "node_1802": { "node_id": "node_1802", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.02 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.02244668934125, "fos_buckling": 1.5670220059818627, "fos_yielding": 4.146303522169473, "deflection": 0.0014519715373452673, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_1801", "improvement_over_parent": null }, "node_1803": { "node_id": "node_1803", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1802", "improvement_over_parent": null }, "node_1804": { "node_id": "node_1804", "content": "INITIAL DESIGN (Trace 263)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 149.60 kg\n Factor of Safety: 0.06\n Max Deflection: 6.82e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.60111427867525, "fos_buckling": 0.055211919198194424, "fos_yielding": 1.3248655848897528, "deflection": 0.006818624882093767, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1805": { "node_id": "node_1805", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n\nPerformance:\n Mass: 160.83 kg\n Factor of Safety: 0.06\n Max Deflection: 6.81e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.83396938738693, "fos_buckling": 0.055146139543305564, "fos_yielding": 1.3232871358480642, "deflection": 0.006809670322521692, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002743)" }, "parent_node_id": "node_1804", "improvement_over_parent": null }, "node_1806": { "node_id": "node_1806", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 179.71 kg\n Factor of Safety: 0.06\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.71400612046875, "fos_buckling": 0.06039251048909226, "fos_yielding": 1.4766449172479683, "deflection": 0.006100749045410798, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.129)" }, "parent_node_id": "node_1805", "improvement_over_parent": null }, "node_1807": { "node_id": "node_1807", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.33 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.32506036322945, "fos_buckling": 1.5684581599982872, "fos_yielding": 4.152820324805977, "deflection": 0.0014500440079154128, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_1806", "improvement_over_parent": null }, "node_1808": { "node_id": "node_1808", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1807", "improvement_over_parent": null }, "node_1809": { "node_id": "node_1809", "content": "INITIAL DESIGN (Trace 264)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 141.78 kg\n Factor of Safety: 0.88\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": 141.77639968703977, "fos_buckling": 0.8778529893207986, "fos_yielding": 2.1197529081680107, "deflection": 0.0022161517760433003, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1810": { "node_id": "node_1810", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 176.63 kg\n Factor of Safety: 1.07\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.63229252489072, "fos_buckling": 1.0736116436783614, "fos_yielding": 2.647843541961934, "deflection": 0.0017833526976767959, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.264)" }, "parent_node_id": "node_1809", "improvement_over_parent": null }, "node_1811": { "node_id": "node_1811", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 215.20 kg\n Factor of Safety: 1.28\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.1993243102153, "fos_buckling": 1.2808525641494197, "fos_yielding": 3.236100981837377, "deflection": 0.0014678929857694048, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.239)" }, "parent_node_id": "node_1810", "improvement_over_parent": null }, "node_1812": { "node_id": "node_1812", "content": "MODIFICATION: Increase 4 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.17 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.16643702215322, "fos_buckling": 1.5673460596474222, "fos_yielding": 4.1517064557334065, "deflection": 0.001451133171315921, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.323)" }, "parent_node_id": "node_1811", "improvement_over_parent": null }, "node_1813": { "node_id": "node_1813", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1812", "improvement_over_parent": null }, "node_1814": { "node_id": "node_1814", "content": "INITIAL DESIGN (Trace 265)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0035)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0011)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n\nPerformance:\n Mass: 123.62 kg\n Factor of Safety: 0.97\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": 123.61731020624748, "fos_buckling": 0.967573229760143, "fos_yielding": 2.46548540065757, "deflection": 0.0026734536289926745, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1815": { "node_id": "node_1815", "content": "MODIFICATION: Increase 0 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0035)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0011)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n\nPerformance:\n Mass: 126.38 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": 126.3807934088583, "fos_buckling": 0.9672891405932633, "fos_yielding": 2.465485400657571, "deflection": 0.0025060858772669647, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.374)" }, "parent_node_id": "node_1814", "improvement_over_parent": null }, "node_1816": { "node_id": "node_1816", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0035)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0011)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n\nPerformance:\n Mass: 128.47 kg\n Factor of Safety: 0.98\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": 128.46757047007094, "fos_buckling": 0.9820428661597347, "fos_yielding": 2.4396959750165426, "deflection": 0.0024694507627097974, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001112)" }, "parent_node_id": "node_1815", "improvement_over_parent": null }, "node_1817": { "node_id": "node_1817", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n\nPerformance:\n Mass: 147.26 kg\n Factor of Safety: 1.11\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": 147.26014508077176, "fos_buckling": 1.1081203798944472, "fos_yielding": 2.795338434149654, "deflection": 0.0021570727718408424, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.155)" }, "parent_node_id": "node_1816", "improvement_over_parent": null }, "node_1818": { "node_id": "node_1818", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n\nPerformance:\n Mass: 177.01 kg\n Factor of Safety: 1.30\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.01176000973626, "fos_buckling": 1.2986626457618955, "fos_yielding": 3.3577074519669625, "deflection": 0.0017981625149061566, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.217)" }, "parent_node_id": "node_1817", "improvement_over_parent": null }, "node_1819": { "node_id": "node_1819", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 219.14 kg\n Factor of Safety: 1.55\n Max Deflection: 1.46e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 219.14397103333658, "fos_buckling": 1.5496245003313627, "fos_yielding": 4.152664510770833, "deflection": 0.0014566354850095084, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.261)" }, "parent_node_id": "node_1818", "improvement_over_parent": null }, "node_1820": { "node_id": "node_1820", "content": "MODIFICATION: Increase 9 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0090)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 240.00 kg\n Factor of Safety: 1.47\n Max Deflection: 1.32e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 239.99854143070587, "fos_buckling": 1.4702828559172065, "fos_yielding": 4.146540122620824, "deflection": 0.001323469075602162, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.570)" }, "parent_node_id": "node_1819", "improvement_over_parent": null }, "node_1821": { "node_id": "node_1821", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1820", "improvement_over_parent": null }, "node_1822": { "node_id": "node_1822", "content": "INITIAL DESIGN (Trace 266)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0019)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0026)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0010)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0018)]\n\nPerformance:\n Mass: 96.33 kg\n Factor of Safety: 0.60\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": 96.32811231806696, "fos_buckling": 0.6022666100552849, "fos_yielding": 1.6647224998084347, "deflection": 0.0033874876198484983, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1823": { "node_id": "node_1823", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0021)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0021)]\n\nPerformance:\n Mass: 109.26 kg\n Factor of Safety: 0.68\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": 109.25721371673235, "fos_buckling": 0.6783413991993381, "fos_yielding": 1.8897360751584225, "deflection": 0.002988483725469364, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.140)" }, "parent_node_id": "node_1822", "improvement_over_parent": null }, "node_1824": { "node_id": "node_1824", "content": "MODIFICATION: Increase 8 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0021)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0021)]\n\nPerformance:\n Mass: 110.00 kg\n Factor of Safety: 0.68\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": 110.00467304870774, "fos_buckling": 0.6779708336408065, "fos_yielding": 1.8900535892352603, "deflection": 0.002985983619162676, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.199)" }, "parent_node_id": "node_1823", "improvement_over_parent": null }, "node_1825": { "node_id": "node_1825", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0026)]\n\nPerformance:\n Mass: 136.27 kg\n Factor of Safety: 0.83\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": 136.2748920863759, "fos_buckling": 0.8280270075326889, "fos_yielding": 2.3457073287203762, "deflection": 0.002413204387460576, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.252)" }, "parent_node_id": "node_1824", "improvement_over_parent": null }, "node_1826": { "node_id": "node_1826", "content": "MODIFICATION: Increase 6 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0026)]\n\nPerformance:\n Mass: 141.87 kg\n Factor of Safety: 0.82\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": 141.87253685129406, "fos_buckling": 0.8207444543491615, "fos_yielding": 2.80097780927204, "deflection": 0.0023658530898047624, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.399)" }, "parent_node_id": "node_1825", "improvement_over_parent": null }, "node_1827": { "node_id": "node_1827", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 183.21 kg\n Factor of Safety: 1.02\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.20898779735182, "fos_buckling": 1.022122833994326, "fos_yielding": 3.61119120900556, "deflection": 0.0018349684464425108, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.314)" }, "parent_node_id": "node_1826", "improvement_over_parent": null }, "node_1828": { "node_id": "node_1828", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 211.35 kg\n Factor of Safety: 1.15\n Max Deflection: 1.59e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.3509817497418, "fos_buckling": 1.1499294411355487, "fos_yielding": 4.161120358417407, "deflection": 0.0015923001509666294, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.168)" }, "parent_node_id": "node_1827", "improvement_over_parent": null }, "node_1829": { "node_id": "node_1829", "content": "MODIFICATION: Increase 10 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.39 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.39369807654953, "fos_buckling": 1.5693727993364233, "fos_yielding": 4.153293401946671, "deflection": 0.0014494959120804486, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.431)" }, "parent_node_id": "node_1828", "improvement_over_parent": null }, "node_1830": { "node_id": "node_1830", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1829", "improvement_over_parent": null }, "node_1831": { "node_id": "node_1831", "content": "INITIAL DESIGN (Trace 267)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n\nPerformance:\n Mass: 139.13 kg\n Factor of Safety: 0.91\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": 139.13457507792606, "fos_buckling": 0.9083948595842299, "fos_yielding": 2.5332062108105013, "deflection": 0.002310182178875171, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1832": { "node_id": "node_1832", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 162.08 kg\n Factor of Safety: 1.04\n Max Deflection: 1.99e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.08415323622566, "fos_buckling": 1.043976735067776, "fos_yielding": 2.9542683780521872, "deflection": 0.0019857084742080744, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.176)" }, "parent_node_id": "node_1831", "improvement_over_parent": null }, "node_1833": { "node_id": "node_1833", "content": "MODIFICATION: Increase 6 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 167.16 kg\n Factor of Safety: 1.02\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.160310744979, "fos_buckling": 1.018480009291382, "fos_yielding": 3.241893213105582, "deflection": 0.001961386921816375, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.292)" }, "parent_node_id": "node_1832", "improvement_over_parent": null }, "node_1834": { "node_id": "node_1834", "content": "MODIFICATION: Increase 5 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 168.35 kg\n Factor of Safety: 1.11\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.3467020793227, "fos_buckling": 1.112300034977278, "fos_yielding": 3.237642431230129, "deflection": 0.0019512979011961085, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.353)" }, "parent_node_id": "node_1833", "improvement_over_parent": null }, "node_1835": { "node_id": "node_1835", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 188.61 kg\n Factor of Safety: 1.23\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.60569162898813, "fos_buckling": 1.2292999438287597, "fos_yielding": 3.6249138827665766, "deflection": 0.0017435357189503175, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.130)" }, "parent_node_id": "node_1834", "improvement_over_parent": null }, "node_1836": { "node_id": "node_1836", "content": "MODIFICATION: Increase 10 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 194.67 kg\n Factor of Safety: 1.40\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.6714379562401, "fos_buckling": 1.4012710936805637, "fos_yielding": 3.6214565415360265, "deflection": 0.001660503372283321, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.211)" }, "parent_node_id": "node_1835", "improvement_over_parent": null }, "node_1837": { "node_id": "node_1837", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.03 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.02580575595417, "fos_buckling": 1.5666975645523293, "fos_yielding": 4.1468331922461505, "deflection": 0.0014519852443647136, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.160)" }, "parent_node_id": "node_1836", "improvement_over_parent": null }, "node_1838": { "node_id": "node_1838", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 268)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0018)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0025)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0010)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0023)]\n\nPerformance:\n Mass: 89.67 kg\n Factor of Safety: 0.69\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": 89.66872483220544, "fos_buckling": 0.6947091927744159, "fos_yielding": 1.798901422454635, "deflection": 0.003561020063822086, "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: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0018)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0025)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0010)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0023)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0010)]\n\nPerformance:\n Mass: 93.36 kg\n Factor of Safety: 0.66\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": 93.35656231576053, "fos_buckling": 0.658761202021401, "fos_yielding": 1.7754078813098437, "deflection": 0.003466068124706528, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001042)" }, "parent_node_id": "node_1839", "improvement_over_parent": null }, "node_1841": { "node_id": "node_1841", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n\nPerformance:\n Mass: 108.67 kg\n Factor of Safety: 0.75\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": 108.66566598206528, "fos_buckling": 0.7530139653362373, "fos_yielding": 2.06594377277122, "deflection": 0.002980939122507449, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.171)" }, "parent_node_id": "node_1840", "improvement_over_parent": null }, "node_1842": { "node_id": "node_1842", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n\nPerformance:\n Mass: 137.48 kg\n Factor of Safety: 0.92\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": 137.48480451019213, "fos_buckling": 0.9205264879844857, "fos_yielding": 2.612411667425211, "deflection": 0.0023608150009590103, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.280)" }, "parent_node_id": "node_1841", "improvement_over_parent": null }, "node_1843": { "node_id": "node_1843", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 179.63 kg\n Factor of Safety: 1.14\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.63000771799284, "fos_buckling": 1.1430129222299905, "fos_yielding": 3.4104853188807827, "deflection": 0.0018122106462557124, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.330)" }, "parent_node_id": "node_1842", "improvement_over_parent": null }, "node_1844": { "node_id": "node_1844", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n\nPerformance:\n Mass: 183.89 kg\n Factor of Safety: 1.34\n Max Deflection: 1.76e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.89041874911402, "fos_buckling": 1.3358063733225767, "fos_yielding": 3.4217057995418934, "deflection": 0.0017566008883335646, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001923)" }, "parent_node_id": "node_1843", "improvement_over_parent": null }, "node_1845": { "node_id": "node_1845", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 223.41 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.40754250261523, "fos_buckling": 1.5688383617725021, "fos_yielding": 4.15408034738854, "deflection": 0.0014494916220928354, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.236)" }, "parent_node_id": "node_1844", "improvement_over_parent": null }, "node_1846": { "node_id": "node_1846", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1845", "improvement_over_parent": null }, "node_1847": { "node_id": "node_1847", "content": "INITIAL DESIGN (Trace 269)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0017)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0028)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n\nPerformance:\n Mass: 105.42 kg\n Factor of Safety: 0.69\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": 105.41871024964529, "fos_buckling": 0.6932325191304367, "fos_yielding": 1.8915825974554843, "deflection": 0.003052795055107739, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1848": { "node_id": "node_1848", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n\nPerformance:\n Mass: 126.88 kg\n Factor of Safety: 0.82\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": 126.88256788650969, "fos_buckling": 0.8243795236389483, "fos_yielding": 2.2793109662458266, "deflection": 0.0025398457683348126, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.214)" }, "parent_node_id": "node_1847", "improvement_over_parent": null }, "node_1849": { "node_id": "node_1849", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0045)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n\nPerformance:\n Mass: 156.31 kg\n Factor of Safety: 1.00\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": 156.3079608283157, "fos_buckling": 0.9986365433129705, "fos_yielding": 2.812559588056455, "deflection": 0.0020655652445153785, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.247)" }, "parent_node_id": "node_1848", "improvement_over_parent": null }, "node_1850": { "node_id": "node_1850", "content": "MODIFICATION: Increase 1 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0045)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n\nPerformance:\n Mass: 158.88 kg\n Factor of Safety: 1.00\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": 158.8761794601168, "fos_buckling": 1.0043389087058108, "fos_yielding": 2.8286197278216467, "deflection": 0.001993722931748, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.261)" }, "parent_node_id": "node_1849", "improvement_over_parent": null }, "node_1851": { "node_id": "node_1851", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 181.86 kg\n Factor of Safety: 1.13\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.86126176585336, "fos_buckling": 1.1347056289674877, "fos_yielding": 3.242508271417141, "deflection": 0.0017447121501606424, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.156)" }, "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 (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 213.24 kg\n Factor of Safety: 1.31\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.23627110598193, "fos_buckling": 1.3064926378107864, "fos_yielding": 3.809895936138787, "deflection": 0.0014914725563097285, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.189)" }, "parent_node_id": "node_1851", "improvement_over_parent": null }, "node_1853": { "node_id": "node_1853", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 216.79 kg\n Factor of Safety: 1.31\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.79067844167994, "fos_buckling": 1.3104028745411083, "fos_yielding": 3.8212986755014495, "deflection": 0.0014686137244321084, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_1852", "improvement_over_parent": null }, "node_1854": { "node_id": "node_1854", "content": "MODIFICATION: Increase 6 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0075)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 228.14 kg\n Factor of Safety: 1.31\n Max Deflection: 1.38e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 228.14066247732697, "fos_buckling": 1.3084903953382057, "fos_yielding": 3.815721646950184, "deflection": 0.0013841874001089796, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.295)" }, "parent_node_id": "node_1853", "improvement_over_parent": null }, "node_1855": { "node_id": "node_1855", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1854", "improvement_over_parent": null }, "node_1856": { "node_id": "node_1856", "content": "INITIAL DESIGN (Trace 270)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0007)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n\nPerformance:\n Mass: 90.49 kg\n Factor of Safety: 0.02\n Max Deflection: 1.80e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 90.49158090394863, "fos_buckling": 0.024312716699346894, "fos_yielding": 0.5327685719436881, "deflection": 0.01799899591397793, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1857": { "node_id": "node_1857", "content": "MODIFICATION: Increase 2 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n\nPerformance:\n Mass: 91.23 kg\n Factor of Safety: 0.04\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 91.22978253524286, "fos_buckling": 0.03711428487119546, "fos_yielding": 0.8415345372713874, "deflection": 0.016573719332243983, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.608)" }, "parent_node_id": "node_1856", "improvement_over_parent": null }, "node_1858": { "node_id": "node_1858", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n\nPerformance:\n Mass: 114.40 kg\n Factor of Safety: 0.05\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": 114.40185705458823, "fos_buckling": 0.04547003352568034, "fos_yielding": 1.056739551166568, "deflection": 0.013229748192159543, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.274)" }, "parent_node_id": "node_1857", "improvement_over_parent": null }, "node_1859": { "node_id": "node_1859", "content": "MODIFICATION: Increase 1 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n\nPerformance:\n Mass: 117.88 kg\n Factor of Safety: 0.05\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.87515128610873, "fos_buckling": 0.04545320935074683, "fos_yielding": 1.05634855143137, "deflection": 0.013232754497302808, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.321)" }, "parent_node_id": "node_1858", "improvement_over_parent": null }, "node_1860": { "node_id": "node_1860", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 136.34 kg\n Factor of Safety: 0.05\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.33924241573493, "fos_buckling": 0.051626427564753004, "fos_yielding": 1.2236451704644566, "deflection": 0.011445783004182319, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.172)" }, "parent_node_id": "node_1859", "improvement_over_parent": null }, "node_1861": { "node_id": "node_1861", "content": "MODIFICATION: Increase 2 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 136.96 kg\n Factor of Safety: 0.06\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.96163238976962, "fos_buckling": 0.060660669867405086, "fos_yielding": 1.2420250073727275, "deflection": 0.011150227810754866, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.233)" }, "parent_node_id": "node_1860", "improvement_over_parent": null }, "node_1862": { "node_id": "node_1862", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 180.57 kg\n Factor of Safety: 0.13\n Max Deflection: 4.84e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.57268663253032, "fos_buckling": 0.12784573180137956, "fos_yielding": 2.1474282584980813, "deflection": 0.004838224185631253, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_1861", "improvement_over_parent": null }, "node_1863": { "node_id": "node_1863", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.22 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.22465498390372, "fos_buckling": 1.567971382173475, "fos_yielding": 4.149837696022493, "deflection": 0.0014505077793487884, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_1862", "improvement_over_parent": null }, "node_1864": { "node_id": "node_1864", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1863", "improvement_over_parent": null }, "node_1865": { "node_id": "node_1865", "content": "INITIAL DESIGN (Trace 271)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0024)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0032)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n\nPerformance:\n Mass: 116.58 kg\n Factor of Safety: 0.75\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": 116.57957215832486, "fos_buckling": 0.7453064744444302, "fos_yielding": 1.774236859862149, "deflection": 0.002660063445227624, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1866": { "node_id": "node_1866", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 136.99 kg\n Factor of Safety: 0.87\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": 136.98532147102713, "fos_buckling": 0.8665573466931068, "fos_yielding": 2.08821300333768, "deflection": 0.002267052653089577, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.185)" }, "parent_node_id": "node_1865", "improvement_over_parent": null }, "node_1867": { "node_id": "node_1867", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0035)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 165.13 kg\n Factor of Safety: 1.03\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.1252777725023, "fos_buckling": 1.0292181723745029, "fos_yielding": 2.523159881445336, "deflection": 0.0018844662256930463, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.220)" }, "parent_node_id": "node_1866", "improvement_over_parent": null }, "node_1868": { "node_id": "node_1868", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0035)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 170.08 kg\n Factor of Safety: 1.02\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.07929066042024, "fos_buckling": 1.0204087579866061, "fos_yielding": 2.501563332181843, "deflection": 0.0018276354490583248, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002027)" }, "parent_node_id": "node_1867", "improvement_over_parent": null }, "node_1869": { "node_id": "node_1869", "content": "MODIFICATION: Increase 4 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 177.41 kg\n Factor of Safety: 1.30\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.40909349725032, "fos_buckling": 1.300162225773197, "fos_yielding": 3.3447234331178834, "deflection": 0.0018023030484101811, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.377)" }, "parent_node_id": "node_1868", "improvement_over_parent": null }, "node_1870": { "node_id": "node_1870", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 220.44 kg\n Factor of Safety: 1.56\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 220.43676790817054, "fos_buckling": 1.556259108762593, "fos_yielding": 4.151821078697913, "deflection": 0.0014547079190189223, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.266)" }, "parent_node_id": "node_1869", "improvement_over_parent": null }, "node_1871": { "node_id": "node_1871", "content": "MODIFICATION: Increase 9 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0076)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 232.63 kg\n Factor of Safety: 1.55\n Max Deflection: 1.37e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 232.63001079189658, "fos_buckling": 1.5476528853807532, "fos_yielding": 4.147457667452662, "deflection": 0.0013664953262612983, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.325)" }, "parent_node_id": "node_1870", "improvement_over_parent": null }, "node_1872": { "node_id": "node_1872", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 272)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\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_1874": { "node_id": "node_1874", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 161.91 kg\n Factor of Safety: 0.24\n Max Deflection: 9.11e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.9072407056825, "fos_buckling": 0.2360239853760644, "fos_yielding": 2.1625358968577, "deflection": 9114600340585.309, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_1873", "improvement_over_parent": null }, "node_1875": { "node_id": "node_1875", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 168.06 kg\n Factor of Safety: 0.18\n Max Deflection: 3.27e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.06105544398034, "fos_buckling": 0.17690045272099605, "fos_yielding": 4.090880364128216, "deflection": 3274489691888.6533, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_1874", "improvement_over_parent": null }, "node_1876": { "node_id": "node_1876", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 210.71 kg\n Factor of Safety: 1.34\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.71302379535373, "fos_buckling": 1.3391847216908876, "fos_yielding": 4.138237187227239, "deflection": 0.0014958150964429536, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_1875", "improvement_over_parent": null }, "node_1877": { "node_id": "node_1877", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.26138141545, "fos_buckling": 1.5680860648903423, "fos_yielding": 4.151338430127532, "deflection": 0.0014504210666294822, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_1876", "improvement_over_parent": null }, "node_1878": { "node_id": "node_1878", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 273)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 167.88 kg\n Factor of Safety: 1.26\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.8777885282136, "fos_buckling": 1.2609613173539533, "fos_yielding": 3.3397430305241027, "deflection": 0.0018519845485076454, "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 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 211.06 kg\n Factor of Safety: 1.52\n Max Deflection: 1.48e-03 m\n Status: FEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 211.05750365684563, "fos_buckling": 1.5235368883839153, "fos_yielding": 4.19552903664487, "deflection": 0.0014777318222643863, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.282)" }, "parent_node_id": "node_1879", "improvement_over_parent": null }, "node_1881": { "node_id": "node_1881", "content": "MODIFICATION: Increase 8 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 214.60 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 214.5953528258216, "fos_buckling": 1.5229680675007289, "fos_yielding": 4.19552903664487, "deflection": 0.0014704835192588844, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.431)" }, "parent_node_id": "node_1880", "improvement_over_parent": null }, "node_1882": { "node_id": "node_1882", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n\nPerformance:\n Mass: 220.81 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 220.80998591211446, "fos_buckling": 1.5677199553934489, "fos_yielding": 4.1573423911601495, "deflection": 0.0014535544947515654, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001802)" }, "parent_node_id": "node_1881", "improvement_over_parent": null }, "node_1883": { "node_id": "node_1883", "content": "MODIFICATION: Increase 8 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n\nPerformance:\n Mass: 225.42 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 225.41914448962532, "fos_buckling": 1.5653892062082793, "fos_yielding": 4.158533224593121, "deflection": 0.0014484166659432943, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.422)" }, "parent_node_id": "node_1882", "improvement_over_parent": null }, "node_1884": { "node_id": "node_1884", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1883", "improvement_over_parent": null }, "node_1885": { "node_id": "node_1885", "content": "INITIAL DESIGN (Trace 274)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0007)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0028)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 134.73 kg\n Factor of Safety: 0.49\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": 134.72703868831852, "fos_buckling": 0.49176028138362177, "fos_yielding": 2.677419861746736, "deflection": 0.0024289850626403667, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1886": { "node_id": "node_1886", "content": "MODIFICATION: Increase 2 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0028)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 135.16 kg\n Factor of Safety: 0.59\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": 135.16235918806098, "fos_buckling": 0.5857493042407816, "fos_yielding": 2.6731761521413766, "deflection": 0.0024228981136485373, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.362)" }, "parent_node_id": "node_1885", "improvement_over_parent": null }, "node_1887": { "node_id": "node_1887", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0045)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0032)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n\nPerformance:\n Mass: 157.75 kg\n Factor of Safety: 0.67\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": 157.75035552493193, "fos_buckling": 0.6741094459222986, "fos_yielding": 3.117053637288263, "deflection": 0.0020783318461268787, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.178)" }, "parent_node_id": "node_1886", "improvement_over_parent": null }, "node_1888": { "node_id": "node_1888", "content": "MODIFICATION: Increase 2 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0045)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0032)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n\nPerformance:\n Mass: 158.46 kg\n Factor of Safety: 0.81\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": 158.4573773645345, "fos_buckling": 0.8120289315103034, "fos_yielding": 3.1124634782043277, "deflection": 0.0020736152468182195, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.383)" }, "parent_node_id": "node_1887", "improvement_over_parent": null }, "node_1889": { "node_id": "node_1889", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 175.57 kg\n Factor of Safety: 0.89\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.5674380167484, "fos_buckling": 0.8854549917085728, "fos_yielding": 3.4462332170766663, "deflection": 0.0018731179344531265, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.116)" }, "parent_node_id": "node_1888", "improvement_over_parent": null }, "node_1890": { "node_id": "node_1890", "content": "MODIFICATION: Increase 7 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 183.69 kg\n Factor of Safety: 1.34\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.68773380687495, "fos_buckling": 1.3394740276371657, "fos_yielding": 3.4702578878792716, "deflection": 0.0017382735993063893, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.309)" }, "parent_node_id": "node_1889", "improvement_over_parent": null }, "node_1891": { "node_id": "node_1891", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 220.02 kg\n Factor of Safety: 1.55\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 220.0237795052267, "fos_buckling": 1.5543635797867483, "fos_yielding": 4.153174113019956, "deflection": 0.001454781009879709, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.217)" }, "parent_node_id": "node_1890", "improvement_over_parent": null }, "node_1892": { "node_id": "node_1892", "content": "MODIFICATION: Increase 9 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.44 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.439029920106, "fos_buckling": 1.5690337669947687, "fos_yielding": 4.15474230982212, "deflection": 0.0014492319736430245, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.410)" }, "parent_node_id": "node_1891", "improvement_over_parent": null }, "node_1893": { "node_id": "node_1893", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1892", "improvement_over_parent": null }, "node_1894": { "node_id": "node_1894", "content": "INITIAL DESIGN (Trace 275)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n\nPerformance:\n Mass: 137.45 kg\n Factor of Safety: 1.06\n Max Deflection: 2.24e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.45103440107306, "fos_buckling": 1.0643763925239431, "fos_yielding": 2.8856729035073507, "deflection": 0.002235326737307854, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1895": { "node_id": "node_1895", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 154.65 kg\n Factor of Safety: 1.18\n Max Deflection: 1.99e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.64943323819358, "fos_buckling": 1.1784268454410296, "fos_yielding": 3.245864281442233, "deflection": 0.001991745872286495, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.134)" }, "parent_node_id": "node_1894", "improvement_over_parent": null }, "node_1896": { "node_id": "node_1896", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n\nPerformance:\n Mass: 161.31 kg\n Factor of Safety: 1.17\n Max Deflection: 1.93e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.30813071470644, "fos_buckling": 1.1691245657652793, "fos_yielding": 3.2045475012179003, "deflection": 0.0019305877269267019, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001940)" }, "parent_node_id": "node_1895", "improvement_over_parent": null }, "node_1897": { "node_id": "node_1897", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n\nPerformance:\n Mass: 171.01 kg\n Factor of Safety: 1.12\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.0067566869796, "fos_buckling": 1.1214091511933226, "fos_yielding": 3.217229873801368, "deflection": 0.0018819801813589267, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002341)" }, "parent_node_id": "node_1896", "improvement_over_parent": null }, "node_1898": { "node_id": "node_1898", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n\nPerformance:\n Mass: 189.84 kg\n Factor of Safety: 1.24\n Max Deflection: 1.70e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.83520284948582, "fos_buckling": 1.2406766644943243, "fos_yielding": 3.569990339081098, "deflection": 0.0016972536182024837, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.119)" }, "parent_node_id": "node_1897", "improvement_over_parent": null }, "node_1899": { "node_id": "node_1899", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 221.31 kg\n Factor of Safety: 1.44\n Max Deflection: 1.46e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.3076720884722, "fos_buckling": 1.4379452053671364, "fos_yielding": 4.158975651363381, "deflection": 0.0014586618531679432, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.182)" }, "parent_node_id": "node_1898", "improvement_over_parent": null }, "node_1900": { "node_id": "node_1900", "content": "MODIFICATION: Increase 5 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.32 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.32424280726462, "fos_buckling": 1.5683747873140401, "fos_yielding": 4.152513406800483, "deflection": 0.0014500220953571016, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.534)" }, "parent_node_id": "node_1899", "improvement_over_parent": null }, "node_1901": { "node_id": "node_1901", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1900", "improvement_over_parent": null }, "node_1902": { "node_id": "node_1902", "content": "INITIAL DESIGN (Trace 276)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n\nPerformance:\n Mass: 116.83 kg\n Factor of Safety: 0.05\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 116.82968423028814, "fos_buckling": 0.053722601035547234, "fos_yielding": 1.0731531995393861, "deflection": 0.01343483568030847, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1903": { "node_id": "node_1903", "content": "MODIFICATION: Increase 3 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n\nPerformance:\n Mass: 118.28 kg\n Factor of Safety: 0.05\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 118.28492781347, "fos_buckling": 0.053714273083793604, "fos_yielding": 1.072985875442363, "deflection": 0.012900439738894817, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.522)" }, "parent_node_id": "node_1902", "improvement_over_parent": null }, "node_1904": { "node_id": "node_1904", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 155.11 kg\n Factor of Safety: 0.05\n Max Deflection: 7.06e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.1118408441157, "fos_buckling": 0.05350437903719846, "fos_yielding": 1.2766886057263236, "deflection": 0.007058763009942114, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004863)" }, "parent_node_id": "node_1903", "improvement_over_parent": null }, "node_1905": { "node_id": "node_1905", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n\nPerformance:\n Mass: 192.76 kg\n Factor of Safety: 1.39\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.7631700684829, "fos_buckling": 1.3898753132632342, "fos_yielding": 3.586194434327248, "deflection": 0.001676668041419463, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004917)" }, "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 (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.29 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.29475622510864, "fos_buckling": 1.5683121606845523, "fos_yielding": 4.151945259238219, "deflection": 0.0014502000831415807, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.174)" }, "parent_node_id": "node_1905", "improvement_over_parent": null }, "node_1907": { "node_id": "node_1907", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 277)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0019)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 103.35 kg\n Factor of Safety: 0.04\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": 103.34866700184648, "fos_buckling": 0.041152517720083416, "fos_yielding": 0.9442261684128687, "deflection": 0.010643603179108601, "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 all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 119.03 kg\n Factor of Safety: 0.05\n Max Deflection: 9.25e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.02882652597782, "fos_buckling": 0.04653948941472924, "fos_yielding": 1.085467699167735, "deflection": 0.009247128754352876, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.161)" }, "parent_node_id": "node_1908", "improvement_over_parent": null }, "node_1910": { "node_id": "node_1910", "content": "MODIFICATION: Increase 1 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 122.58 kg\n Factor of Safety: 0.05\n Max Deflection: 9.06e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.58303754521498, "fos_buckling": 0.046521903988666125, "fos_yielding": 1.0850575440025696, "deflection": 0.009062223508087153, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.408)" }, "parent_node_id": "node_1909", "improvement_over_parent": null }, "node_1911": { "node_id": "node_1911", "content": "MODIFICATION: Increase 4 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 130.32 kg\n Factor of Safety: 0.05\n Max Deflection: 8.67e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.319037037827, "fos_buckling": 0.04652190398866613, "fos_yielding": 1.0850575440025698, "deflection": 0.008670212242085454, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.460)" }, "parent_node_id": "node_1910", "improvement_over_parent": null }, "node_1912": { "node_id": "node_1912", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 153.11 kg\n Factor of Safety: 0.05\n Max Deflection: 7.39e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.11123119785242, "fos_buckling": 0.053364757763877765, "fos_yielding": 1.272683208228939, "deflection": 0.007385456421643386, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.189)" }, "parent_node_id": "node_1911", "improvement_over_parent": null }, "node_1913": { "node_id": "node_1913", "content": "MODIFICATION: Increase 5 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 154.56 kg\n Factor of Safety: 0.05\n Max Deflection: 7.08e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.56140599837596, "fos_buckling": 0.0533483341939331, "fos_yielding": 1.2722915264793426, "deflection": 0.007083964602779731, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.408)" }, "parent_node_id": "node_1912", "improvement_over_parent": null }, "node_1914": { "node_id": "node_1914", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 179.75 kg\n Factor of Safety: 0.06\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.74544527744615, "fos_buckling": 0.0604028155993827, "fos_yielding": 1.4769526498197434, "deflection": 0.006100063548774582, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.179)" }, "parent_node_id": "node_1913", "improvement_over_parent": null }, "node_1915": { "node_id": "node_1915", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.36 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.35649952020685, "fos_buckling": 1.5687602845418636, "fos_yielding": 4.154408571160691, "deflection": 0.0014499569706106954, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_1914", "improvement_over_parent": null }, "node_1916": { "node_id": "node_1916", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 278)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0027)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n\nPerformance:\n Mass: 109.21 kg\n Factor of Safety: 0.84\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": 109.21243766792531, "fos_buckling": 0.8436053935082887, "fos_yielding": 2.0348737061860596, "deflection": 0.0029437955382784708, "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 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 141.68 kg\n Factor of Safety: 1.07\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": 141.6823600628392, "fos_buckling": 1.0659913718963294, "fos_yielding": 2.638328950318714, "deflection": 0.002273824203409695, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.314)" }, "parent_node_id": "node_1917", "improvement_over_parent": null }, "node_1919": { "node_id": "node_1919", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 173.29 kg\n Factor of Safety: 1.27\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.28568508766472, "fos_buckling": 1.2700637497853977, "fos_yielding": 3.22500595634865, "deflection": 0.0018628475401526814, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.239)" }, "parent_node_id": "node_1918", "improvement_over_parent": null }, "node_1920": { "node_id": "node_1920", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.17 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.17444017106928, "fos_buckling": 1.567532576693042, "fos_yielding": 4.149782145979392, "deflection": 0.001450979228680893, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.316)" }, "parent_node_id": "node_1919", "improvement_over_parent": null }, "node_1921": { "node_id": "node_1921", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1920", "improvement_over_parent": null }, "node_1922": { "node_id": "node_1922", "content": "INITIAL DESIGN (Trace 279)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n\nPerformance:\n Mass: 93.54 kg\n Factor of Safety: 0.07\n Max Deflection: 9.14e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 93.54259111614826, "fos_buckling": 0.07377344266300451, "fos_yielding": 1.1421140967929122, "deflection": 0.00913687740141241, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1923": { "node_id": "node_1923", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0019)]\n\nPerformance:\n Mass: 108.92 kg\n Factor of Safety: 0.61\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": 108.92423084396165, "fos_buckling": 0.6076252347792169, "fos_yielding": 2.2193010821798462, "deflection": 0.003071566431306989, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.001942)" }, "parent_node_id": "node_1922", "improvement_over_parent": null }, "node_1924": { "node_id": "node_1924", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0023)]\n\nPerformance:\n Mass: 129.10 kg\n Factor of Safety: 0.71\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": 129.1010448714641, "fos_buckling": 0.7073680493173333, "fos_yielding": 2.62860447587192, "deflection": 0.002593724137983895, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.195)" }, "parent_node_id": "node_1923", "improvement_over_parent": null }, "node_1925": { "node_id": "node_1925", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n\nPerformance:\n Mass: 168.61 kg\n Factor of Safety: 0.89\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": 168.607573488723, "fos_buckling": 0.8915012115948776, "fos_yielding": 3.4282648703348495, "deflection": 0.001989214271618227, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.328)" }, "parent_node_id": "node_1924", "improvement_over_parent": null }, "node_1926": { "node_id": "node_1926", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n\nPerformance:\n Mass: 171.51 kg\n Factor of Safety: 0.93\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": 171.5109807019396, "fos_buckling": 0.9293580089319057, "fos_yielding": 3.4005250099682893, "deflection": 0.0019713187194503982, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001580)" }, "parent_node_id": "node_1925", "improvement_over_parent": null }, "node_1927": { "node_id": "node_1927", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 209.96 kg\n Factor of Safety: 1.10\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.9620883607353, "fos_buckling": 1.1000491300307302, "fos_yielding": 4.156190467964107, "deflection": 0.001612385293594969, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.245)" }, "parent_node_id": "node_1926", "improvement_over_parent": null }, "node_1928": { "node_id": "node_1928", "content": "MODIFICATION: Increase 10 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0029)]\n\nPerformance:\n Mass: 211.46 kg\n Factor of Safety: 1.10\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.45514623328415, "fos_buckling": 1.1037849925016172, "fos_yielding": 4.15299961767078, "deflection": 0.0016113376179583134, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.486)" }, "parent_node_id": "node_1927", "improvement_over_parent": null }, "node_1929": { "node_id": "node_1929", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1928", "improvement_over_parent": null }, "node_1930": { "node_id": "node_1930", "content": "INITIAL DESIGN (Trace 280)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 196.50 kg\n Factor of Safety: 1.30\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.50370023642043, "fos_buckling": 1.3032038728418534, "fos_yielding": 3.3001942703474754, "deflection": 0.0015206372133080017, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1931": { "node_id": "node_1931", "content": "MODIFICATION: Increase 7 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 200.99 kg\n Factor of Safety: 1.30\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.98623787944533, "fos_buckling": 1.3032038728418534, "fos_yielding": 3.3001942703474754, "deflection": 0.0015206291735262547, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.610)" }, "parent_node_id": "node_1930", "improvement_over_parent": null }, "node_1932": { "node_id": "node_1932", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 209.60 kg\n Factor of Safety: 1.31\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.59934249420598, "fos_buckling": 1.3114991118063288, "fos_yielding": 3.3212008838729763, "deflection": 0.0015202258965002367, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_1931", "improvement_over_parent": null }, "node_1933": { "node_id": "node_1933", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 215.75 kg\n Factor of Safety: 1.30\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.7531572325038, "fos_buckling": 1.2991247415435445, "fos_yielding": 3.2898644010006954, "deflection": 0.001465965196914799, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_1932", "improvement_over_parent": null }, "node_1934": { "node_id": "node_1934", "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.25 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25459383527019, "fos_buckling": 1.5679699325610614, "fos_yielding": 4.15192529503303, "deflection": 0.0014504421773396104, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.299)" }, "parent_node_id": "node_1933", "improvement_over_parent": null }, "node_1935": { "node_id": "node_1935", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1934", "improvement_over_parent": null }, "node_1936": { "node_id": "node_1936", "content": "INITIAL DESIGN (Trace 281)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0013)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0009)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0029)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n\nPerformance:\n Mass: 111.69 kg\n Factor of Safety: 0.60\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": 111.68951184171215, "fos_buckling": 0.5974560361880236, "fos_yielding": 2.1764696579214418, "deflection": 0.0030329420768184603, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1937": { "node_id": "node_1937", "content": "MODIFICATION: Increase 2 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0013)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0009)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0029)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n\nPerformance:\n Mass: 111.97 kg\n Factor of Safety: 0.59\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": 111.96934731016069, "fos_buckling": 0.593924237394441, "fos_yielding": 2.1758656983158886, "deflection": 0.0030321670245704382, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.186)" }, "parent_node_id": "node_1936", "improvement_over_parent": null }, "node_1938": { "node_id": "node_1938", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0015)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0010)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0032)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n\nPerformance:\n Mass: 125.41 kg\n Factor of Safety: 0.66\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": 125.40728042807933, "fos_buckling": 0.6633247327987947, "fos_yielding": 2.4359911620830315, "deflection": 0.0027084958339587263, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.126)" }, "parent_node_id": "node_1937", "improvement_over_parent": null }, "node_1939": { "node_id": "node_1939", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0017)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 143.30 kg\n Factor of Safety: 0.76\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": 143.3028353356433, "fos_buckling": 0.7551127537253128, "fos_yielding": 2.782054576183191, "deflection": 0.0023716807010400517, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.151)" }, "parent_node_id": "node_1938", "improvement_over_parent": null }, "node_1940": { "node_id": "node_1940", "content": "MODIFICATION: Increase 1 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 147.63 kg\n Factor of Safety: 0.99\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": 147.62850169133412, "fos_buckling": 0.9934013272546061, "fos_yielding": 2.776136123711809, "deflection": 0.0021770889053879176, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.621)" }, "parent_node_id": "node_1939", "improvement_over_parent": null }, "node_1941": { "node_id": "node_1941", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 172.29 kg\n Factor of Safety: 1.15\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.29240729751913, "fos_buckling": 1.153597677374894, "fos_yielding": 3.2382207176344906, "deflection": 0.001868242536112185, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.179)" }, "parent_node_id": "node_1940", "improvement_over_parent": null }, "node_1942": { "node_id": "node_1942", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 221.14 kg\n Factor of Safety: 1.47\n Max Deflection: 1.46e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.14459356251703, "fos_buckling": 1.465467072718035, "fos_yielding": 4.151992806565309, "deflection": 0.0014598764767610726, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.311)" }, "parent_node_id": "node_1941", "improvement_over_parent": null }, "node_1943": { "node_id": "node_1943", "content": "MODIFICATION: Increase 5 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 222.98 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 222.98217830386733, "fos_buckling": 1.5664274146409718, "fos_yielding": 4.146245885842942, "deflection": 0.0014521805390430298, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.468)" }, "parent_node_id": "node_1942", "improvement_over_parent": null }, "node_1944": { "node_id": "node_1944", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1943", "improvement_over_parent": null }, "node_1945": { "node_id": "node_1945", "content": "INITIAL DESIGN (Trace 282)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0045)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\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_1946": { "node_id": "node_1946", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0045)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n\nPerformance:\n Mass: 122.48 kg\n Factor of Safety: 0.05\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.4805180211299, "fos_buckling": 0.04711270255439915, "fos_yielding": 1.1149741923518586, "deflection": 0.013302701948853217, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004198)" }, "parent_node_id": "node_1945", "improvement_over_parent": null }, "node_1947": { "node_id": "node_1947", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n\nPerformance:\n Mass: 138.87 kg\n Factor of Safety: 0.05\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.87396265436394, "fos_buckling": 0.0524832087106035, "fos_yielding": 1.2637356982388661, "deflection": 0.01173936520739027, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_1946", "improvement_over_parent": null }, "node_1948": { "node_id": "node_1948", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 174.92 kg\n Factor of Safety: 1.00\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.92306178092673, "fos_buckling": 0.9983422622445424, "fos_yielding": 2.802921460244064, "deflection": 0.0017972000148451964, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004752)" }, "parent_node_id": "node_1947", "improvement_over_parent": null }, "node_1949": { "node_id": "node_1949", "content": "MODIFICATION: Increase 5 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 183.44 kg\n Factor of Safety: 1.29\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.4397299939542, "fos_buckling": 1.2916308675283181, "fos_yielding": 3.552644082581479, "deflection": 0.0017966884887045738, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.534)" }, "parent_node_id": "node_1948", "improvement_over_parent": null }, "node_1950": { "node_id": "node_1950", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 217.18 kg\n Factor of Safety: 1.49\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.17535927209119, "fos_buckling": 1.485299365604701, "fos_yielding": 4.203025070187825, "deflection": 0.0015199761033767528, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.202)" }, "parent_node_id": "node_1949", "improvement_over_parent": null }, "node_1951": { "node_id": "node_1951", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n\nPerformance:\n Mass: 221.57 kg\n Factor of Safety: 1.48\n Max Deflection: 1.46e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.57231299501814, "fos_buckling": 1.482245602833463, "fos_yielding": 4.157836773466277, "deflection": 0.001457197379025929, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001784)" }, "parent_node_id": "node_1950", "improvement_over_parent": null }, "node_1952": { "node_id": "node_1952", "content": "MODIFICATION: Increase 5 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0082)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n\nPerformance:\n Mass: 233.19 kg\n Factor of Safety: 1.17\n Max Deflection: 1.44e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 233.18817309704121, "fos_buckling": 1.1742734051649346, "fos_yielding": 4.164850717652669, "deflection": 0.0014402955899509844, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.439)" }, "parent_node_id": "node_1951", "improvement_over_parent": null }, "node_1953": { "node_id": "node_1953", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1952", "improvement_over_parent": null }, "node_1954": { "node_id": "node_1954", "content": "INITIAL DESIGN (Trace 283)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0029)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 134.91 kg\n Factor of Safety: 0.88\n Max Deflection: 2.41e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.9126173220447, "fos_buckling": 0.8792606760169367, "fos_yielding": 2.7467790951682534, "deflection": 0.0024074081185115484, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1955": { "node_id": "node_1955", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 161.90 kg\n Factor of Safety: 1.04\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.90232034100467, "fos_buckling": 1.036428169075044, "fos_yielding": 3.2938048908034228, "deflection": 0.0020087316125094, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.214)" }, "parent_node_id": "node_1954", "improvement_over_parent": null }, "node_1956": { "node_id": "node_1956", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 168.66 kg\n Factor of Safety: 0.93\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.66014790633656, "fos_buckling": 0.9277761980551533, "fos_yielding": 3.2408372463410844, "deflection": 0.0019616125840827324, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001971)" }, "parent_node_id": "node_1955", "improvement_over_parent": null }, "node_1957": { "node_id": "node_1957", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 215.22 kg\n Factor of Safety: 1.13\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.2166154218454, "fos_buckling": 1.1316102559018453, "fos_yielding": 4.129364925836214, "deflection": 0.0015406837727575183, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.302)" }, "parent_node_id": "node_1956", "improvement_over_parent": null }, "node_1958": { "node_id": "node_1958", "content": "MODIFICATION: Increase 7 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.37 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.36530569547847, "fos_buckling": 1.5684079363043513, "fos_yielding": 4.1526745816695945, "deflection": 0.0014496582666424906, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.252)" }, "parent_node_id": "node_1957", "improvement_over_parent": null }, "node_1959": { "node_id": "node_1959", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1958", "improvement_over_parent": null }, "node_1960": { "node_id": "node_1960", "content": "INITIAL DESIGN (Trace 284)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0009)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 156.29 kg\n Factor of Safety: 0.06\n Max Deflection: 7.54e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.28566036616496, "fos_buckling": 0.05530492430128279, "fos_yielding": 1.2974112280625552, "deflection": 0.007543920458173778, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1961": { "node_id": "node_1961", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0009)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n\nPerformance:\n Mass: 195.43 kg\n Factor of Safety: 1.03\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.43094587503836, "fos_buckling": 1.0262473140618842, "fos_yielding": 3.7314275602881226, "deflection": 0.0016301517471443126, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005129)" }, "parent_node_id": "node_1960", "improvement_over_parent": null }, "node_1962": { "node_id": "node_1962", "content": "MODIFICATION: Increase 3 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n\nPerformance:\n Mass: 196.66 kg\n Factor of Safety: 1.36\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.66084541812583, "fos_buckling": 1.3564196699453328, "fos_yielding": 3.7331638314951134, "deflection": 0.0016236312595707672, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.650)" }, "parent_node_id": "node_1961", "improvement_over_parent": null }, "node_1963": { "node_id": "node_1963", "content": "MODIFICATION: Increase 5 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n\nPerformance:\n Mass: 197.63 kg\n Factor of Safety: 1.30\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.62659196685917, "fos_buckling": 1.298814404727558, "fos_yielding": 3.7308138535178124, "deflection": 0.0016198082824144934, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.230)" }, "parent_node_id": "node_1962", "improvement_over_parent": null }, "node_1964": { "node_id": "node_1964", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 220.13 kg\n Factor of Safety: 1.42\n Max Deflection: 1.46e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 220.13389499713466, "fos_buckling": 1.423115789592127, "fos_yielding": 4.1535577904050855, "deflection": 0.0014563978040355913, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.125)" }, "parent_node_id": "node_1963", "improvement_over_parent": null }, "node_1965": { "node_id": "node_1965", "content": "MODIFICATION: Increase 8 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0038)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 222.75 kg\n Factor of Safety: 1.34\n Max Deflection: 1.45e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 222.75132203959262, "fos_buckling": 1.3351963288465027, "fos_yielding": 4.154186674234597, "deflection": 0.0014538527685658883, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.235)" }, "parent_node_id": "node_1964", "improvement_over_parent": null }, "node_1966": { "node_id": "node_1966", "content": "MODIFICATION: Increase 3 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0038)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 224.32 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 224.31886477358617, "fos_buckling": 1.5693845194461604, "fos_yielding": 4.155459330686844, "deflection": 0.0014492293776874703, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.477)" }, "parent_node_id": "node_1965", "improvement_over_parent": null }, "node_1967": { "node_id": "node_1967", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1966", "improvement_over_parent": null }, "node_1968": { "node_id": "node_1968", "content": "INITIAL DESIGN (Trace 285)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n\nPerformance:\n Mass: 131.87 kg\n Factor of Safety: 0.11\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": 131.86871251771936, "fos_buckling": 0.10542234678731194, "fos_yielding": 1.3733178888924644, "deflection": 0.007080890833720154, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1969": { "node_id": "node_1969", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 165.66 kg\n Factor of Safety: 0.97\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.65905106071708, "fos_buckling": 0.9720890488875524, "fos_yielding": 2.3703249875547576, "deflection": 0.0018641499144592302, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004432)" }, "parent_node_id": "node_1968", "improvement_over_parent": null }, "node_1970": { "node_id": "node_1970", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 209.49 kg\n Factor of Safety: 1.20\n Max Deflection: 1.48e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.48819508978383, "fos_buckling": 1.2031347209196845, "fos_yielding": 3.0107570344387624, "deflection": 0.0014792991021778483, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.289)" }, "parent_node_id": "node_1969", "improvement_over_parent": null }, "node_1971": { "node_id": "node_1971", "content": "MODIFICATION: Increase 4 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 219.45 kg\n Factor of Safety: 1.55\n Max Deflection: 1.46e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 219.44967762455926, "fos_buckling": 1.5512788926963665, "fos_yielding": 4.155323884432208, "deflection": 0.001456070022232039, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.435)" }, "parent_node_id": "node_1970", "improvement_over_parent": null }, "node_1972": { "node_id": "node_1972", "content": "MODIFICATION: Increase 9 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.45 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.45263953004002, "fos_buckling": 1.5690429589750352, "fos_yielding": 4.157233393635701, "deflection": 0.001449329584035154, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.513)" }, "parent_node_id": "node_1971", "improvement_over_parent": null }, "node_1973": { "node_id": "node_1973", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1972", "improvement_over_parent": null }, "node_1974": { "node_id": "node_1974", "content": "INITIAL DESIGN (Trace 286)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\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_1975": { "node_id": "node_1975", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 204.56 kg\n Factor of Safety: 1.46\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.55709913441294, "fos_buckling": 1.4595233644802716, "fos_yielding": 4.182449083354115, "deflection": 0.0015207944207637554, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_1974", "improvement_over_parent": null }, "node_1976": { "node_id": "node_1976", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n\nPerformance:\n Mass: 212.76 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.76218298541286, "fos_buckling": 1.4819022552959267, "fos_yielding": 4.200356198777439, "deflection": 0.0015205382009271307, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.001959)" }, "parent_node_id": "node_1975", "improvement_over_parent": null }, "node_1977": { "node_id": "node_1977", "content": "MODIFICATION: Increase 8 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0038)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n\nPerformance:\n Mass: 215.33 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.33219906360904, "fos_buckling": 1.4823473106803329, "fos_yielding": 4.2010731742000464, "deflection": 0.0015209436617226013, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.580)" }, "parent_node_id": "node_1976", "improvement_over_parent": null }, "node_1978": { "node_id": "node_1978", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0038)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 221.49 kg\n Factor of Safety: 1.55\n Max Deflection: 1.46e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 221.48601380190686, "fos_buckling": 1.5543656312842344, "fos_yielding": 4.14993442763199, "deflection": 0.001455746621975855, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_1977", "improvement_over_parent": null }, "node_1979": { "node_id": "node_1979", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1978", "improvement_over_parent": null }, "node_1980": { "node_id": "node_1980", "content": "INITIAL DESIGN (Trace 287)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n\nPerformance:\n Mass: 112.25 kg\n Factor of Safety: 1.09\n Max Deflection: 7.81e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.2468844541425, "fos_buckling": 1.0905425915457407, "fos_yielding": 2.8652500788604485, "deflection": 7808024824404.152, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1981": { "node_id": "node_1981", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 135.32 kg\n Factor of Safety: 1.35\n Max Deflection: 5.15e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.31891581794565, "fos_buckling": 1.3495802771922927, "fos_yielding": 3.4389938071690875, "deflection": 5151430464221.634, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.221)" }, "parent_node_id": "node_1980", "improvement_over_parent": null }, "node_1982": { "node_id": "node_1982", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n\nPerformance:\n Mass: 145.63 kg\n Factor of Safety: 0.11\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": 145.6289620450913, "fos_buckling": 0.10875558025816019, "fos_yielding": 1.770019071758508, "deflection": 0.005874649547193581, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002500)" }, "parent_node_id": "node_1981", "improvement_over_parent": null }, "node_1983": { "node_id": "node_1983", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 177.38 kg\n Factor of Safety: 0.13\n Max Deflection: 4.83e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.37626898752444, "fos_buckling": 0.1279987985150462, "fos_yielding": 2.1504021777362703, "deflection": 0.004832925841376245, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.239)" }, "parent_node_id": "node_1982", "improvement_over_parent": null }, "node_1984": { "node_id": "node_1984", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 207.88 kg\n Factor of Safety: 1.02\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.8841436173972, "fos_buckling": 1.0249846880053248, "fos_yielding": 4.164756232138164, "deflection": 0.0016419012684085299, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.003973)" }, "parent_node_id": "node_1983", "improvement_over_parent": null }, "node_1985": { "node_id": "node_1985", "content": "MODIFICATION: Increase 1 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 211.24 kg\n Factor of Safety: 1.14\n Max Deflection: 1.59e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.23501574105057, "fos_buckling": 1.1431238412971403, "fos_yielding": 4.162058212916773, "deflection": 0.0015944698560838848, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.259)" }, "parent_node_id": "node_1984", "improvement_over_parent": null }, "node_1986": { "node_id": "node_1986", "content": "MODIFICATION: Increase 10 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.39 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.38726767319255, "fos_buckling": 1.5683875144384594, "fos_yielding": 4.1541196453836085, "deflection": 0.001449641261034184, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.437)" }, "parent_node_id": "node_1985", "improvement_over_parent": null }, "node_1987": { "node_id": "node_1987", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1986", "improvement_over_parent": null }, "node_1988": { "node_id": "node_1988", "content": "INITIAL DESIGN (Trace 288)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0008)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 111.82 kg\n Factor of Safety: 0.05\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": 111.82482456654172, "fos_buckling": 0.045395715905410625, "fos_yielding": 1.054956726697499, "deflection": 0.008818893687484956, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1989": { "node_id": "node_1989", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0008)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n\nPerformance:\n Mass: 120.75 kg\n Factor of Safety: 0.05\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": 120.7497351845643, "fos_buckling": 0.045352634623199044, "fos_yielding": 1.053955555385242, "deflection": 0.008809185662461838, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002142)" }, "parent_node_id": "node_1988", "improvement_over_parent": null }, "node_1990": { "node_id": "node_1990", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n\nPerformance:\n Mass: 139.43 kg\n Factor of Safety: 0.05\n Max Deflection: 7.64e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.43002483616027, "fos_buckling": 0.05128980812683029, "fos_yielding": 1.2147597049147205, "deflection": 0.007638211743007633, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.166)" }, "parent_node_id": "node_1989", "improvement_over_parent": null }, "node_1991": { "node_id": "node_1991", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 169.92 kg\n Factor of Safety: 0.06\n Max Deflection: 6.28e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.91635862966837, "fos_buckling": 0.06036896341019487, "fos_yielding": 1.475856702926926, "deflection": 0.0062802531559882, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.239)" }, "parent_node_id": "node_1990", "improvement_over_parent": null }, "node_1992": { "node_id": "node_1992", "content": "MODIFICATION: Increase 3 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 170.62 kg\n Factor of Safety: 0.06\n Max Deflection: 6.28e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.6195116588437, "fos_buckling": 0.06036446631053163, "fos_yielding": 1.4757467610908102, "deflection": 0.006279888067193731, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.269)" }, "parent_node_id": "node_1991", "improvement_over_parent": null }, "node_1993": { "node_id": "node_1993", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 214.23 kg\n Factor of Safety: 1.31\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.2305659016044, "fos_buckling": 1.3074882312648082, "fos_yielding": 3.314765553622754, "deflection": 0.001470464044150585, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_1992", "improvement_over_parent": null }, "node_1994": { "node_id": "node_1994", "content": "MODIFICATION: Increase 3 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 215.93 kg\n Factor of Safety: 1.31\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.92866991651698, "fos_buckling": 1.3079402342890043, "fos_yielding": 3.3159114790841935, "deflection": 0.0014657561602223516, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.536)" }, "parent_node_id": "node_1993", "improvement_over_parent": null }, "node_1995": { "node_id": "node_1995", "content": "MODIFICATION: Increase 4 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.19 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.1881913771885, "fos_buckling": 1.5674682073169206, "fos_yielding": 4.150172778122072, "deflection": 0.001450852477000259, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.287)" }, "parent_node_id": "node_1994", "improvement_over_parent": null }, "node_1996": { "node_id": "node_1996", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1995", "improvement_over_parent": null }, "node_1997": { "node_id": "node_1997", "content": "INITIAL DESIGN (Trace 289)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0019)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0006)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0025)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0025)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0025)]\n\nPerformance:\n Mass: 101.43 kg\n Factor of Safety: 0.56\n Max Deflection: 3.23e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 101.4278384318206, "fos_buckling": 0.562943033786396, "fos_yielding": 1.9241767888765746, "deflection": 0.0032323727736926324, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1998": { "node_id": "node_1998", "content": "MODIFICATION: Increase 0 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0019)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0006)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0025)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0025)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0025)]\n\nPerformance:\n Mass: 103.04 kg\n Factor of Safety: 0.77\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": 103.04046984809983, "fos_buckling": 0.7653920240387947, "fos_yielding": 1.930277995386299, "deflection": 0.0031088772582582008, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.250)" }, "parent_node_id": "node_1997", "improvement_over_parent": null }, "node_1999": { "node_id": "node_1999", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 135.52 kg\n Factor of Safety: 0.98\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": 135.51665960510567, "fos_buckling": 0.9766549622493419, "fos_yielding": 2.5370986804269515, "deflection": 0.002368805274552895, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.332)" }, "parent_node_id": "node_1998", "improvement_over_parent": null }, "node_2000": { "node_id": "node_2000", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 176.32 kg\n Factor of Safety: 1.22\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.3169514489777, "fos_buckling": 1.2231729688763486, "fos_yielding": 3.2983819816514677, "deflection": 0.0018254512603607346, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.323)" }, "parent_node_id": "node_1999", "improvement_over_parent": null }, "node_2001": { "node_id": "node_2001", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 222.42 kg\n Factor of Safety: 1.48\n Max Deflection: 1.45e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 222.42412112106157, "fos_buckling": 1.4776031073113758, "fos_yielding": 4.157230603731907, "deflection": 0.0014513462907833794, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.287)" }, "parent_node_id": "node_2000", "improvement_over_parent": null }, "node_2002": { "node_id": "node_2002", "content": "MODIFICATION: Increase 2 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.37 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.3689878874507, "fos_buckling": 1.5686211536567456, "fos_yielding": 4.1533459739915575, "deflection": 0.001449711360018213, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.397)" }, "parent_node_id": "node_2001", "improvement_over_parent": null }, "node_2003": { "node_id": "node_2003", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2002", "improvement_over_parent": null }, "node_2004": { "node_id": "node_2004", "content": "INITIAL DESIGN (Trace 290)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 144.79 kg\n Factor of Safety: 0.99\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.79191097099445, "fos_buckling": 0.9918380978991534, "fos_yielding": 2.783503228646737, "deflection": 0.002093208308093577, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2005": { "node_id": "node_2005", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n\nPerformance:\n Mass: 154.00 kg\n Factor of Safety: 0.97\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": 153.99784705221353, "fos_buckling": 0.9735650215206377, "fos_yielding": 2.7322215051430305, "deflection": 0.002030765396477767, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002214)" }, "parent_node_id": "node_2004", "improvement_over_parent": null }, "node_2006": { "node_id": "node_2006", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n\nPerformance:\n Mass: 190.41 kg\n Factor of Safety: 1.18\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.40856927487894, "fos_buckling": 1.1793450973063364, "fos_yielding": 3.3864182423117093, "deflection": 0.0016472174510843514, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.256)" }, "parent_node_id": "node_2005", "improvement_over_parent": null }, "node_2007": { "node_id": "node_2007", "content": "MODIFICATION: Increase 2 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n\nPerformance:\n Mass: 191.44 kg\n Factor of Safety: 1.18\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.43641474805722, "fos_buckling": 1.1779498741860295, "fos_yielding": 3.3824119433602884, "deflection": 0.0016450624022990657, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.305)" }, "parent_node_id": "node_2006", "improvement_over_parent": null }, "node_2008": { "node_id": "node_2008", "content": "MODIFICATION: Increase 7 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n\nPerformance:\n Mass: 192.83 kg\n Factor of Safety: 1.18\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.82897703656081, "fos_buckling": 1.1779109946644095, "fos_yielding": 3.3823003031613608, "deflection": 0.0016452400870612934, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.236)" }, "parent_node_id": "node_2007", "improvement_over_parent": null }, "node_2009": { "node_id": "node_2009", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 212.89 kg\n Factor of Safety: 1.29\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.8867723634402, "fos_buckling": 1.2858498884508192, "fos_yielding": 3.7397402628888177, "deflection": 0.0014924556956319379, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.114)" }, "parent_node_id": "node_2008", "improvement_over_parent": null }, "node_2010": { "node_id": "node_2010", "content": "MODIFICATION: Increase 5 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 219.85 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 219.84624947558504, "fos_buckling": 1.5232098267127305, "fos_yielding": 4.197787800824289, "deflection": 0.0014696783417711635, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.325)" }, "parent_node_id": "node_2009", "improvement_over_parent": null }, "node_2011": { "node_id": "node_2011", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.40 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.40065681128306, "fos_buckling": 1.5688688701480509, "fos_yielding": 4.154016918609757, "deflection": 0.0014495153803886962, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_2010", "improvement_over_parent": null }, "node_2012": { "node_id": "node_2012", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2011", "improvement_over_parent": null }, "node_2013": { "node_id": "node_2013", "content": "INITIAL DESIGN (Trace 291)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\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_2014": { "node_id": "node_2014", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 210.71 kg\n Factor of Safety: 1.34\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.7101995994855, "fos_buckling": 1.3392381279372176, "fos_yielding": 4.1382395123962565, "deflection": 0.0014958364087349614, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_2013", "improvement_over_parent": null }, "node_2015": { "node_id": "node_2015", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25855721958175, "fos_buckling": 1.5680092556121514, "fos_yielding": 4.15134237523279, "deflection": 0.001450439482037813, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_2014", "improvement_over_parent": null }, "node_2016": { "node_id": "node_2016", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2015", "improvement_over_parent": null }, "node_2017": { "node_id": "node_2017", "content": "INITIAL DESIGN (Trace 292)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 150.72 kg\n Factor of Safety: 1.11\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": 150.71676191910532, "fos_buckling": 1.1114803217815659, "fos_yielding": 3.0354351038361616, "deflection": 0.0021951992160992844, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2018": { "node_id": "node_2018", "content": "MODIFICATION: Increase 6 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 151.55 kg\n Factor of Safety: 1.11\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": 151.55203529684303, "fos_buckling": 1.1113818627491674, "fos_yielding": 3.035273925630365, "deflection": 0.0021958208546835364, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.230)" }, "parent_node_id": "node_2017", "improvement_over_parent": null }, "node_2019": { "node_id": "node_2019", "content": "MODIFICATION: Increase 6 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 153.14 kg\n Factor of Safety: 1.11\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": 153.14479376751854, "fos_buckling": 1.1111941624259851, "fos_yielding": 3.034966627039749, "deflection": 0.0021970062391901603, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.366)" }, "parent_node_id": "node_2018", "improvement_over_parent": null }, "node_2020": { "node_id": "node_2020", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n\nPerformance:\n Mass: 155.71 kg\n Factor of Safety: 0.87\n Max Deflection: 2.12e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.71411285838974, "fos_buckling": 0.8699204088149853, "fos_yielding": 2.9872715736326043, "deflection": 0.002116782439143679, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001386)" }, "parent_node_id": "node_2019", "improvement_over_parent": null }, "node_2021": { "node_id": "node_2021", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n\nPerformance:\n Mass: 184.27 kg\n Factor of Safety: 1.00\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.27076050339943, "fos_buckling": 0.9978553092454452, "fos_yielding": 3.532767941711249, "deflection": 0.0017918893833411163, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.198)" }, "parent_node_id": "node_2020", "improvement_over_parent": null }, "node_2022": { "node_id": "node_2022", "content": "MODIFICATION: Increase 0 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n\nPerformance:\n Mass: 186.55 kg\n Factor of Safety: 1.18\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.54503559600482, "fos_buckling": 1.177138801808236, "fos_yielding": 3.5412203895008454, "deflection": 0.0017458372905376496, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.188)" }, "parent_node_id": "node_2021", "improvement_over_parent": null }, "node_2023": { "node_id": "node_2023", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 218.13 kg\n Factor of Safety: 1.32\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.13164876303293, "fos_buckling": 1.324071036900742, "fos_yielding": 4.138341587385131, "deflection": 0.0014962995023687683, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.186)" }, "parent_node_id": "node_2022", "improvement_over_parent": null }, "node_2024": { "node_id": "node_2024", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 223.31 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.3059916397616, "fos_buckling": 1.5682326593361153, "fos_yielding": 4.152087334595318, "deflection": 0.0014501125046877661, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_2023", "improvement_over_parent": null }, "node_2025": { "node_id": "node_2025", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2024", "improvement_over_parent": null }, "node_2026": { "node_id": "node_2026", "content": "INITIAL DESIGN (Trace 293)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\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_2027": { "node_id": "node_2027", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n\nPerformance:\n Mass: 108.59 kg\n Factor of Safety: 0.80\n Max Deflection: 4.49e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 108.58600250392584, "fos_buckling": 0.7999256511457803, "fos_yielding": 2.3645245618138957, "deflection": 44876082520135.51, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001117)" }, "parent_node_id": "node_2026", "improvement_over_parent": null }, "node_2028": { "node_id": "node_2028", "content": "MODIFICATION: Increase 2 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n\nPerformance:\n Mass: 110.59 kg\n Factor of Safety: 0.02\n Max Deflection: 8.51e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 110.58990876736675, "fos_buckling": 0.015359343191088316, "fos_yielding": 0.2703169871072125, "deflection": 85107978253815.77, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.506)" }, "parent_node_id": "node_2027", "improvement_over_parent": null }, "node_2029": { "node_id": "node_2029", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 118.04 kg\n Factor of Safety: 0.04\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 118.0415265138595, "fos_buckling": 0.0384500667164865, "fos_yielding": 0.7690010706867901, "deflection": 0.014878484708790093, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002190)" }, "parent_node_id": "node_2028", "improvement_over_parent": null }, "node_2030": { "node_id": "node_2030", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n\nPerformance:\n Mass: 155.77 kg\n Factor of Safety: 0.13\n Max Deflection: 5.57e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.77063547436234, "fos_buckling": 0.12916191062467786, "fos_yielding": 1.8099496936846335, "deflection": 0.005572191913567901, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004928)" }, "parent_node_id": "node_2029", "improvement_over_parent": null }, "node_2031": { "node_id": "node_2031", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0036)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 179.99 kg\n Factor of Safety: 0.15\n Max Deflection: 4.83e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.9914246533935, "fos_buckling": 0.1472840154991761, "fos_yielding": 2.0990724066199284, "deflection": 0.004828383178906659, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.171)" }, "parent_node_id": "node_2030", "improvement_over_parent": null }, "node_2032": { "node_id": "node_2032", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0036)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 222.64 kg\n Factor of Safety: 1.46\n Max Deflection: 1.46e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 222.6433930047669, "fos_buckling": 1.4598076498272408, "fos_yielding": 4.161392897512197, "deflection": 0.0014566748969574179, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_2031", "improvement_over_parent": null }, "node_2033": { "node_id": "node_2033", "content": "MODIFICATION: Increase 5 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0036)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0082)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 234.05 kg\n Factor of Safety: 1.14\n Max Deflection: 1.44e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 234.05354396955735, "fos_buckling": 1.1421269661794629, "fos_yielding": 4.1680423151143735, "deflection": 0.0014383996765198772, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.431)" }, "parent_node_id": "node_2032", "improvement_over_parent": null }, "node_2034": { "node_id": "node_2034", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2033", "improvement_over_parent": null }, "node_2035": { "node_id": "node_2035", "content": "INITIAL DESIGN (Trace 294)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2036": { "node_id": "node_2036", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n\nPerformance:\n Mass: 168.41 kg\n Factor of Safety: 1.17\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.40731564088387, "fos_buckling": 1.166728054906828, "fos_yielding": 2.9072401056447004, "deflection": 0.0018187459596429192, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001206)" }, "parent_node_id": "node_2035", "improvement_over_parent": null }, "node_2037": { "node_id": "node_2037", "content": "MODIFICATION: Increase 2 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n\nPerformance:\n Mass: 169.51 kg\n Factor of Safety: 1.17\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.5140429553388, "fos_buckling": 1.166728054906828, "fos_yielding": 2.9072401056447004, "deflection": 0.0018154314687950587, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.292)" }, "parent_node_id": "node_2036", "improvement_over_parent": null }, "node_2038": { "node_id": "node_2038", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n\nPerformance:\n Mass: 210.34 kg\n Factor of Safety: 1.41\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.33794594629134, "fos_buckling": 1.4091349594191347, "fos_yielding": 3.6156918205544057, "deflection": 0.0014677326538749546, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.264)" }, "parent_node_id": "node_2037", "improvement_over_parent": null }, "node_2039": { "node_id": "node_2039", "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n\nPerformance:\n Mass: 211.30 kg\n Factor of Safety: 1.41\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.30495098150655, "fos_buckling": 1.4091349594191347, "fos_yielding": 3.6156918205544057, "deflection": 0.00146642057492936, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.176)" }, "parent_node_id": "node_2038", "improvement_over_parent": null }, "node_2040": { "node_id": "node_2040", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 219.92 kg\n Factor of Safety: 1.40\n Max Deflection: 1.46e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 219.9180555962672, "fos_buckling": 1.4004505227860569, "fos_yielding": 3.5934084712623786, "deflection": 0.0014558791373660185, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_2039", "improvement_over_parent": null }, "node_2041": { "node_id": "node_2041", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2040", "improvement_over_parent": null }, "node_2042": { "node_id": "node_2042", "content": "INITIAL DESIGN (Trace 295)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 121.52 kg\n Factor of Safety: 0.96\n Max Deflection: 2.65e+14 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.51601660725038, "fos_buckling": 0.9624392086995053, "fos_yielding": 0.20213797545085518, "deflection": 264912312262243.7, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2043": { "node_id": "node_2043", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n\nPerformance:\n Mass: 123.69 kg\n Factor of Safety: 0.96\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": 123.6864545273085, "fos_buckling": 0.9595883274468431, "fos_yielding": 2.560585843960874, "deflection": 0.002480223127590143, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001159)" }, "parent_node_id": "node_2042", "improvement_over_parent": null }, "node_2044": { "node_id": "node_2044", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0043)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n\nPerformance:\n Mass: 155.37 kg\n Factor of Safety: 1.17\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.36749590746567, "fos_buckling": 1.1708128277943763, "fos_yielding": 3.213281951202171, "deflection": 0.001977857451249824, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.274)" }, "parent_node_id": "node_2043", "improvement_over_parent": null }, "node_2045": { "node_id": "node_2045", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0043)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n\nPerformance:\n Mass: 160.09 kg\n Factor of Safety: 1.17\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.0889035401847, "fos_buckling": 1.1696410596585969, "fos_yielding": 3.1825880451319293, "deflection": 0.0019481834569668264, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001925)" }, "parent_node_id": "node_2044", "improvement_over_parent": null }, "node_2046": { "node_id": "node_2046", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 208.70 kg\n Factor of Safety: 1.46\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.69944059273277, "fos_buckling": 1.4577347593028644, "fos_yielding": 4.144433676415692, "deflection": 0.001499683556840815, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.333)" }, "parent_node_id": "node_2045", "improvement_over_parent": null }, "node_2047": { "node_id": "node_2047", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 221.25 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 221.24779821282903, "fos_buckling": 1.569318613061709, "fos_yielding": 4.156195243797211, "deflection": 0.0014528995323694392, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_2046", "improvement_over_parent": null }, "node_2048": { "node_id": "node_2048", "content": "MODIFICATION: Increase 8 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0026)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 222.27 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 222.2665903533503, "fos_buckling": 1.568626252741261, "fos_yielding": 4.15391383876922, "deflection": 0.001452066719311608, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.326)" }, "parent_node_id": "node_2047", "improvement_over_parent": null }, "node_2049": { "node_id": "node_2049", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2048", "improvement_over_parent": null }, "node_2050": { "node_id": "node_2050", "content": "INITIAL DESIGN (Trace 296)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 144.46 kg\n Factor of Safety: 1.33\n Max Deflection: 8.47e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.46117720479745, "fos_buckling": 1.3312224604724228, "fos_yielding": 3.796669198419994, "deflection": 8470638514957.747, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2051": { "node_id": "node_2051", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n\nPerformance:\n Mass: 149.14 kg\n Factor of Safety: 0.12\n Max Deflection: 1.13e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.14143522376023, "fos_buckling": 0.11523995390503554, "fos_yielding": 2.1625358968577, "deflection": 11332570904775.67, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002129)" }, "parent_node_id": "node_2050", "improvement_over_parent": null }, "node_2052": { "node_id": "node_2052", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n\nPerformance:\n Mass: 156.93 kg\n Factor of Safety: 0.06\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.9309930305513, "fos_buckling": 0.055683835248320476, "fos_yielding": 1.3383806446163087, "deflection": 0.010891601196420079, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002298)" }, "parent_node_id": "node_2051", "improvement_over_parent": null }, "node_2053": { "node_id": "node_2053", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n\nPerformance:\n Mass: 196.38 kg\n Factor of Safety: 1.37\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.37799300326853, "fos_buckling": 1.3671184333510635, "fos_yielding": 3.8024210216595407, "deflection": 0.0016793641240617036, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005172)" }, "parent_node_id": "node_2052", "improvement_over_parent": null }, "node_2054": { "node_id": "node_2054", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n\nPerformance:\n Mass: 201.94 kg\n Factor of Safety: 1.44\n Max Deflection: 1.60e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.94364267222673, "fos_buckling": 1.4446134743792494, "fos_yielding": 3.7564109516654365, "deflection": 0.0016013698387503715, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002299)" }, "parent_node_id": "node_2053", "improvement_over_parent": null }, "node_2055": { "node_id": "node_2055", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25944096218382, "fos_buckling": 1.5680065257932472, "fos_yielding": 4.151332074546831, "deflection": 0.0014504241580754632, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.116)" }, "parent_node_id": "node_2054", "improvement_over_parent": null }, "node_2056": { "node_id": "node_2056", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 297)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 99.85 kg\n Factor of Safety: 0.04\n Max Deflection: 7.74e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 99.85484459427794, "fos_buckling": 0.042103180525578335, "fos_yielding": 0.6767424242642062, "deflection": 77362724801176.0, "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: Increase 4 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 107.41 kg\n Factor of Safety: 0.04\n Max Deflection: 7.74e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 107.4057599154123, "fos_buckling": 0.042103180525578335, "fos_yielding": 0.6767424242642062, "deflection": 77362724801176.0, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.548)" }, "parent_node_id": "node_2057", "improvement_over_parent": null }, "node_2059": { "node_id": "node_2059", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n\nPerformance:\n Mass: 134.89 kg\n Factor of Safety: 1.03\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": 134.89312923403827, "fos_buckling": 1.0303979770734712, "fos_yielding": 2.648531159728402, "deflection": 0.0023197777418523177, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003513)" }, "parent_node_id": "node_2058", "improvement_over_parent": null }, "node_2060": { "node_id": "node_2060", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n\nPerformance:\n Mass: 172.19 kg\n Factor of Safety: 1.27\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.18728593190008, "fos_buckling": 1.272833291471837, "fos_yielding": 3.379186461052296, "deflection": 0.0018220393741320313, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.297)" }, "parent_node_id": "node_2059", "improvement_over_parent": null }, "node_2061": { "node_id": "node_2061", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 213.92 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 213.9168211920026, "fos_buckling": 1.5226677871182266, "fos_yielding": 4.195905946431063, "deflection": 0.001470849854000217, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.266)" }, "parent_node_id": "node_2060", "improvement_over_parent": null }, "node_2062": { "node_id": "node_2062", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 222.53 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 222.52992580676326, "fos_buckling": 1.5679876077137298, "fos_yielding": 4.1529742140627555, "deflection": 0.0014521856922893395, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_2061", "improvement_over_parent": null }, "node_2063": { "node_id": "node_2063", "content": "MODIFICATION: Increase 2 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.16 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.15643639211382, "fos_buckling": 1.567294820914118, "fos_yielding": 4.150579557597178, "deflection": 0.0014511876546452777, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.235)" }, "parent_node_id": "node_2062", "improvement_over_parent": null }, "node_2064": { "node_id": "node_2064", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 298)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0017)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0005)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0006)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0010)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0022)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0022)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0010)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0012)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0022)]\n\nPerformance:\n Mass: 88.77 kg\n Factor of Safety: 0.60\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": 88.77379441660298, "fos_buckling": 0.5986638015608148, "fos_yielding": 1.680184013994365, "deflection": 0.003584499137426019, "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 all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0006)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0007)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0026)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0026)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0026)]\n\nPerformance:\n Mass: 103.63 kg\n Factor of Safety: 0.69\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": 103.63001517518707, "fos_buckling": 0.6902822848191674, "fos_yielding": 1.9607407714045726, "deflection": 0.0030736548410492176, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.174)" }, "parent_node_id": "node_2065", "improvement_over_parent": null }, "node_2067": { "node_id": "node_2067", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0007)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0008)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0031)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n\nPerformance:\n Mass: 124.87 kg\n Factor of Safety: 0.82\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": 124.8698434335165, "fos_buckling": 0.8172233140807181, "fos_yielding": 2.361536065291466, "deflection": 0.0025544290018259595, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.215)" }, "parent_node_id": "node_2066", "improvement_over_parent": null }, "node_2068": { "node_id": "node_2068", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0009)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 139.65 kg\n Factor of Safety: 0.90\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": 139.65159461689126, "fos_buckling": 0.9028158381915189, "fos_yielding": 2.640247210874111, "deflection": 0.002286284972091673, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.125)" }, "parent_node_id": "node_2067", "improvement_over_parent": null }, "node_2069": { "node_id": "node_2069", "content": "MODIFICATION: Increase 3 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 140.83 kg\n Factor of Safety: 0.94\n Max Deflection: 2.28e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.82911765043443, "fos_buckling": 0.9361289870045132, "fos_yielding": 2.6410849910353904, "deflection": 0.0022782681544844833, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.590)" }, "parent_node_id": "node_2068", "improvement_over_parent": null }, "node_2070": { "node_id": "node_2070", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 171.34 kg\n Factor of Safety: 1.11\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": 171.34357738084051, "fos_buckling": 1.1099810004605022, "fos_yielding": 3.2114680689771387, "deflection": 0.0018762309286698483, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.232)" }, "parent_node_id": "node_2069", "improvement_over_parent": null }, "node_2071": { "node_id": "node_2071", "content": "MODIFICATION: Increase 2 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 172.33 kg\n Factor of Safety: 1.26\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.32982203163257, "fos_buckling": 1.2640583411815292, "fos_yielding": 3.2072029989855873, "deflection": 0.001873095041632591, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.600)" }, "parent_node_id": "node_2070", "improvement_over_parent": null }, "node_2072": { "node_id": "node_2072", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.51 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.50723753832074, "fos_buckling": 1.5694036365932449, "fos_yielding": 4.155859312081519, "deflection": 0.0014488700397398916, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.326)" }, "parent_node_id": "node_2071", "improvement_over_parent": null }, "node_2073": { "node_id": "node_2073", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2072", "improvement_over_parent": null }, "node_2074": { "node_id": "node_2074", "content": "INITIAL DESIGN (Trace 299)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 174.17 kg\n Factor of Safety: 0.86\n Max Deflection: 1.84e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.17056755843677, "fos_buckling": 0.8589176348974396, "fos_yielding": 3.536122593651803, "deflection": 0.0018359882614643126, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2075": { "node_id": "node_2075", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n\nPerformance:\n Mass: 184.94 kg\n Factor of Safety: 1.02\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.9418763040507, "fos_buckling": 1.0219839420164274, "fos_yielding": 3.5464314705070694, "deflection": 0.0017872908907350874, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002621)" }, "parent_node_id": "node_2074", "improvement_over_parent": null }, "node_2076": { "node_id": "node_2076", "content": "MODIFICATION: Increase 7 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n\nPerformance:\n Mass: 191.65 kg\n Factor of Safety: 1.38\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.65202619663813, "fos_buckling": 1.3830240925619444, "fos_yielding": 3.5654920394386487, "deflection": 0.0016862393417448275, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.236)" }, "parent_node_id": "node_2075", "improvement_over_parent": null }, "node_2077": { "node_id": "node_2077", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.23 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.23127670801813, "fos_buckling": 1.5677951701823893, "fos_yielding": 4.150653823541105, "deflection": 0.0014505801248153407, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_2076", "improvement_over_parent": null }, "node_2078": { "node_id": "node_2078", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2077", "improvement_over_parent": null }, "node_2079": { "node_id": "node_2079", "content": "INITIAL DESIGN (Trace 300)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0029)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 145.39 kg\n Factor of Safety: 0.87\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": 145.3868308483118, "fos_buckling": 0.8662179083538157, "fos_yielding": 3.031261404524269, "deflection": 0.0023527173497376423, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2080": { "node_id": "node_2080", "content": "MODIFICATION: Increase 5 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 154.16 kg\n Factor of Safety: 1.12\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.16278978745723, "fos_buckling": 1.1201189383105823, "fos_yielding": 3.0312614045242694, "deflection": 0.00210012117281705, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.412)" }, "parent_node_id": "node_2079", "improvement_over_parent": null }, "node_2081": { "node_id": "node_2081", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 182.69 kg\n Factor of Safety: 1.30\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.6932178799285, "fos_buckling": 1.296311234103479, "fos_yielding": 3.590908370116946, "deflection": 0.0017744424317619972, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.200)" }, "parent_node_id": "node_2080", "improvement_over_parent": null }, "node_2082": { "node_id": "node_2082", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n\nPerformance:\n Mass: 185.74 kg\n Factor of Safety: 1.30\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.73764385554767, "fos_buckling": 1.304978039857613, "fos_yielding": 3.597658178673064, "deflection": 0.0017748835323887172, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001663)" }, "parent_node_id": "node_2081", "improvement_over_parent": null }, "node_2083": { "node_id": "node_2083", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 191.01 kg\n Factor of Safety: 1.38\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.0057919812471, "fos_buckling": 1.3793000836055012, "fos_yielding": 3.5539860965924195, "deflection": 0.0016920578909228508, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002166)" }, "parent_node_id": "node_2082", "improvement_over_parent": null }, "node_2084": { "node_id": "node_2084", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.18 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.17584243079955, "fos_buckling": 1.567678360163626, "fos_yielding": 4.150172609591885, "deflection": 0.001451089158233779, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.185)" }, "parent_node_id": "node_2083", "improvement_over_parent": null }, "node_2085": { "node_id": "node_2085", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 301)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n\nPerformance:\n Mass: 109.02 kg\n Factor of Safety: 0.86\n Max Deflection: 3.09e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.02498718712306, "fos_buckling": 0.8628591808071747, "fos_yielding": 2.2665419429804956, "deflection": 0.00309054283214662, "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: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 124.45 kg\n Factor of Safety: 0.97\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": 124.44780608642765, "fos_buckling": 0.9718570995778583, "fos_yielding": 2.586309397920055, "deflection": 0.0027083123287613524, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.149)" }, "parent_node_id": "node_2086", "improvement_over_parent": null }, "node_2088": { "node_id": "node_2088", "content": "MODIFICATION: Increase 0 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 128.38 kg\n Factor of Safety: 0.97\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": 128.37893757494385, "fos_buckling": 0.9722657335520365, "fos_yielding": 2.586309397920055, "deflection": 0.0024599582124536275, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.582)" }, "parent_node_id": "node_2087", "improvement_over_parent": null }, "node_2089": { "node_id": "node_2089", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n\nPerformance:\n Mass: 142.77 kg\n Factor of Safety: 1.07\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": 142.76604047299088, "fos_buckling": 1.0682731469417217, "fos_yielding": 2.8756641801040237, "deflection": 0.0022135961739430544, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.119)" }, "parent_node_id": "node_2088", "improvement_over_parent": null }, "node_2090": { "node_id": "node_2090", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n\nPerformance:\n Mass: 148.66 kg\n Factor of Safety: 1.08\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": 148.6593132386824, "fos_buckling": 1.0774740215109533, "fos_yielding": 2.881360721723453, "deflection": 0.0022133857028553932, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001703)" }, "parent_node_id": "node_2089", "improvement_over_parent": null }, "node_2091": { "node_id": "node_2091", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n\nPerformance:\n Mass: 193.22 kg\n Factor of Safety: 1.35\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.22109588846212, "fos_buckling": 1.3488085725643086, "fos_yielding": 3.7415690683919687, "deflection": 0.0017064588678678075, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.325)" }, "parent_node_id": "node_2090", "improvement_over_parent": null }, "node_2092": { "node_id": "node_2092", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 217.14 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.1355877876485, "fos_buckling": 1.4846921401098137, "fos_yielding": 4.202544810367335, "deflection": 0.0015202052118154954, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.136)" }, "parent_node_id": "node_2091", "improvement_over_parent": null }, "node_2093": { "node_id": "node_2093", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.29 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.28940252594631, "fos_buckling": 1.5681886252981336, "fos_yielding": 4.151936170532135, "deflection": 0.0014501672663311909, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_2092", "improvement_over_parent": null }, "node_2094": { "node_id": "node_2094", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2093", "improvement_over_parent": null }, "node_2095": { "node_id": "node_2095", "content": "INITIAL DESIGN (Trace 302)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 149.47 kg\n Factor of Safety: 0.05\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.47297732730433, "fos_buckling": 0.05397639055419607, "fos_yielding": 1.1954155000598239, "deflection": 0.011945254501914429, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2096": { "node_id": "node_2096", "content": "MODIFICATION: Increase 3 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 151.14 kg\n Factor of Safety: 0.05\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.13880432543843, "fos_buckling": 0.053966839961220404, "fos_yielding": 1.2894812623923955, "deflection": 0.011306708619356207, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.634)" }, "parent_node_id": "node_2095", "improvement_over_parent": null }, "node_2097": { "node_id": "node_2097", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 173.56 kg\n Factor of Safety: 0.06\n Max Deflection: 9.85e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.56202194794756, "fos_buckling": 0.060472205098766545, "fos_yielding": 1.4785981199341787, "deflection": 0.009853739388424501, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.163)" }, "parent_node_id": "node_2096", "improvement_over_parent": null }, "node_2098": { "node_id": "node_2098", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 217.17 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.17307619070826, "fos_buckling": 1.4849468911993904, "fos_yielding": 4.203541418442137, "deflection": 0.001520087151890525, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_2097", "improvement_over_parent": null }, "node_2099": { "node_id": "node_2099", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.33 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.32689092900608, "fos_buckling": 1.5684721219588817, "fos_yielding": 4.152893860968412, "deflection": 0.00145003189624317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_2098", "improvement_over_parent": null }, "node_2100": { "node_id": "node_2100", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2099", "improvement_over_parent": null }, "node_2101": { "node_id": "node_2101", "content": "INITIAL DESIGN (Trace 303)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, 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_2102": { "node_id": "node_2102", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 169.53 kg\n Factor of Safety: 1.28\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.52561361471317, "fos_buckling": 1.2814106168973636, "fos_yielding": 3.571765309454058, "deflection": 0.0019354495043444678, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002157)" }, "parent_node_id": "node_2101", "improvement_over_parent": null }, "node_2103": { "node_id": "node_2103", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n\nPerformance:\n Mass: 180.23 kg\n Factor of Safety: 1.28\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.228525444629, "fos_buckling": 1.2807523159128673, "fos_yielding": 3.5700053648676233, "deflection": 0.0019353793570495985, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002603)" }, "parent_node_id": "node_2102", "improvement_over_parent": null }, "node_2104": { "node_id": "node_2104", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 185.48 kg\n Factor of Safety: 0.93\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.47643329439393, "fos_buckling": 0.9282711680071741, "fos_yielding": 3.5190750665023907, "deflection": 0.0018277254330951232, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002157)" }, "parent_node_id": "node_2103", "improvement_over_parent": null }, "node_2105": { "node_id": "node_2105", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 217.45 kg\n Factor of Safety: 1.06\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.45355992358583, "fos_buckling": 1.0569666965412796, "fos_yielding": 4.122614647945949, "deflection": 0.0015608141116705276, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.189)" }, "parent_node_id": "node_2104", "improvement_over_parent": null }, "node_2106": { "node_id": "node_2106", "content": "MODIFICATION: Increase 0 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.20 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.19662719597738, "fos_buckling": 1.5676994850908268, "fos_yielding": 4.150346901919852, "deflection": 0.0014509038298030305, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.517)" }, "parent_node_id": "node_2105", "improvement_over_parent": null }, "node_2107": { "node_id": "node_2107", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2106", "improvement_over_parent": null }, "node_2108": { "node_id": "node_2108", "content": "INITIAL DESIGN (Trace 304)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 167.42 kg\n Factor of Safety: 1.03\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.41738925018774, "fos_buckling": 1.025523321708977, "fos_yielding": 2.5425179570999292, "deflection": 0.0018717871872135584, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2109": { "node_id": "node_2109", "content": "MODIFICATION: Increase 3 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 168.90 kg\n Factor of Safety: 1.04\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.90274422262854, "fos_buckling": 1.0356511758417943, "fos_yielding": 2.543536825256474, "deflection": 0.001864781290842014, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.618)" }, "parent_node_id": "node_2108", "improvement_over_parent": null }, "node_2110": { "node_id": "node_2110", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 215.51 kg\n Factor of Safety: 1.29\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.51253673937688, "fos_buckling": 1.2880817055898657, "fos_yielding": 3.25732801869694, "deflection": 0.0014664695097202514, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.302)" }, "parent_node_id": "node_2109", "improvement_over_parent": null }, "node_2111": { "node_id": "node_2111", "content": "MODIFICATION: Increase 4 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.31 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.30957415412087, "fos_buckling": 1.5682184594292592, "fos_yielding": 4.1533761646904965, "deflection": 0.0014501815110787063, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.314)" }, "parent_node_id": "node_2110", "improvement_over_parent": null }, "node_2112": { "node_id": "node_2112", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2111", "improvement_over_parent": null }, "node_2113": { "node_id": "node_2113", "content": "INITIAL DESIGN (Trace 305)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 201.05 kg\n Factor of Safety: 1.46\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.05200437241785, "fos_buckling": 1.459114918170805, "fos_yielding": 4.19673441055088, "deflection": 0.0015437251054960094, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2114": { "node_id": "node_2114", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 209.67 kg\n Factor of Safety: 1.10\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.6651089871785, "fos_buckling": 1.099699726060741, "fos_yielding": 4.143743501667936, "deflection": 0.0014988867216569031, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_2113", "improvement_over_parent": null }, "node_2115": { "node_id": "node_2115", "content": "MODIFICATION: Increase 2 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 210.71 kg\n Factor of Safety: 1.34\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.71283174007252, "fos_buckling": 1.339701088536315, "fos_yielding": 4.138228407907002, "deflection": 0.001495830440120403, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.458)" }, "parent_node_id": "node_2114", "improvement_over_parent": null }, "node_2116": { "node_id": "node_2116", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.26118936016877, "fos_buckling": 1.5680058263230052, "fos_yielding": 4.151333322405688, "deflection": 0.0014504361698941901, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_2115", "improvement_over_parent": null }, "node_2117": { "node_id": "node_2117", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2116", "improvement_over_parent": null }, "node_2118": { "node_id": "node_2118", "content": "INITIAL DESIGN (Trace 306)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 136.00 kg\n Factor of Safety: 0.79\n Max Deflection: 2.37e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.99890257334067, "fos_buckling": 0.7940036202350552, "fos_yielding": 2.6226480649472963, "deflection": 0.0023660058722811176, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2119": { "node_id": "node_2119", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n\nPerformance:\n Mass: 139.27 kg\n Factor of Safety: 1.06\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": 139.26639889569387, "fos_buckling": 1.0604022664088153, "fos_yielding": 2.6298299327839936, "deflection": 0.00229067658439275, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001449)" }, "parent_node_id": "node_2118", "improvement_over_parent": null }, "node_2120": { "node_id": "node_2120", "content": "MODIFICATION: Increase 2 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n\nPerformance:\n Mass: 139.96 kg\n Factor of Safety: 1.06\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": 139.96450357441776, "fos_buckling": 1.0619258578169637, "fos_yielding": 2.6274470851597753, "deflection": 0.002288076408038882, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.477)" }, "parent_node_id": "node_2119", "improvement_over_parent": null }, "node_2121": { "node_id": "node_2121", "content": "MODIFICATION: Increase 8 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n\nPerformance:\n Mass: 141.71 kg\n Factor of Safety: 1.06\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": 141.71059455547268, "fos_buckling": 1.062538395834678, "fos_yielding": 2.627984818978728, "deflection": 0.002282816220983707, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.236)" }, "parent_node_id": "node_2120", "improvement_over_parent": null }, "node_2122": { "node_id": "node_2122", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n\nPerformance:\n Mass: 162.43 kg\n Factor of Safety: 1.20\n Max Deflection: 1.99e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.43446560858354, "fos_buckling": 1.1974081000527141, "fos_yielding": 3.0114912153901634, "deflection": 0.0019940244225643243, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.156)" }, "parent_node_id": "node_2121", "improvement_over_parent": null }, "node_2123": { "node_id": "node_2123", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0032)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n\nPerformance:\n Mass: 189.64 kg\n Factor of Safety: 1.37\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.64442793149598, "fos_buckling": 1.3666337235783745, "fos_yielding": 3.514726685732104, "deflection": 0.001710679434181957, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_2122", "improvement_over_parent": null }, "node_2124": { "node_id": "node_2124", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0038)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 224.48 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 224.48199647368406, "fos_buckling": 1.570345480259774, "fos_yielding": 4.158548427776105, "deflection": 0.0014481663741364602, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.202)" }, "parent_node_id": "node_2123", "improvement_over_parent": null }, "node_2125": { "node_id": "node_2125", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2124", "improvement_over_parent": null }, "node_2126": { "node_id": "node_2126", "content": "INITIAL DESIGN (Trace 307)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 162.54 kg\n Factor of Safety: 0.03\n Max Deflection: 6.84e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.53650200556584, "fos_buckling": 0.031128094258289104, "fos_yielding": 0.7208452989525668, "deflection": 6844672795648.37, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2127": { "node_id": "node_2127", "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 163.11 kg\n Factor of Safety: 0.06\n Max Deflection: 7.07e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.1116170309549, "fos_buckling": 0.06053595684970952, "fos_yielding": 1.4416905979051335, "deflection": 7074772586382.981, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.253)" }, "parent_node_id": "node_2126", "improvement_over_parent": null }, "node_2128": { "node_id": "node_2128", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 169.27 kg\n Factor of Safety: 0.05\n Max Deflection: 6.35e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.26543176925273, "fos_buckling": 0.052893050464984874, "fos_yielding": 1.2596714005728376, "deflection": 0.006352746015361119, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_2127", "improvement_over_parent": null }, "node_2129": { "node_id": "node_2129", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 174.44 kg\n Factor of Safety: 0.05\n Max Deflection: 6.34e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.4397746459814, "fos_buckling": 0.05286404485851818, "fos_yielding": 1.258980619220634, "deflection": 0.006343360598319355, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_2128", "improvement_over_parent": null }, "node_2130": { "node_id": "node_2130", "content": "MODIFICATION: Increase 2 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 174.96 kg\n Factor of Safety: 0.06\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.96396134473932, "fos_buckling": 0.06039890639803252, "fos_yielding": 1.4766729545752637, "deflection": 0.006101097333069528, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.190)" }, "parent_node_id": "node_2129", "improvement_over_parent": null }, "node_2131": { "node_id": "node_2131", "content": "MODIFICATION: Increase 0 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 179.66 kg\n Factor of Safety: 0.06\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.66164731983176, "fos_buckling": 0.0603688524930481, "fos_yielding": 1.4759381765583006, "deflection": 0.006103038125814534, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.389)" }, "parent_node_id": "node_2130", "improvement_over_parent": null }, "node_2132": { "node_id": "node_2132", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.27 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.27270156259246, "fos_buckling": 1.5680240680764754, "fos_yielding": 4.151385268169949, "deflection": 0.0014502674706291002, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_2131", "improvement_over_parent": null }, "node_2133": { "node_id": "node_2133", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2132", "improvement_over_parent": null }, "node_2134": { "node_id": "node_2134", "content": "INITIAL DESIGN (Trace 308)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 138.09 kg\n Factor of Safety: 0.64\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": 138.08817845800922, "fos_buckling": 0.6449286325894287, "fos_yielding": 1.8065717308580536, "deflection": 13675821495527.236, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2135": { "node_id": "node_2135", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 158.57 kg\n Factor of Safety: 0.67\n Max Deflection: 4.27e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.5747811773457, "fos_buckling": 0.6664977348311067, "fos_yielding": 1.0742710716527486, "deflection": 42692949388200.445, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.163)" }, "parent_node_id": "node_2134", "improvement_over_parent": null }, "node_2136": { "node_id": "node_2136", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 171.12 kg\n Factor of Safety: 0.07\n Max Deflection: 2.15e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.12313879744195, "fos_buckling": 0.07361215586672391, "fos_yielding": 1.0742710716527486, "deflection": 21544928531069.79, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_2135", "improvement_over_parent": null }, "node_2137": { "node_id": "node_2137", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 214.73 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 214.73419304020265, "fos_buckling": 1.5232620295691037, "fos_yielding": 4.198725335188626, "deflection": 0.0014696126321126486, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_2136", "improvement_over_parent": null }, "node_2138": { "node_id": "node_2138", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.35 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.3472976549633, "fos_buckling": 1.5686613462895629, "fos_yielding": 4.153541418159365, "deflection": 0.001449874038560212, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_2137", "improvement_over_parent": null }, "node_2139": { "node_id": "node_2139", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2138", "improvement_over_parent": null }, "node_2140": { "node_id": "node_2140", "content": "INITIAL DESIGN (Trace 309)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\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_2141": { "node_id": "node_2141", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n\nPerformance:\n Mass: 130.05 kg\n Factor of Safety: 0.10\n Max Deflection: 6.58e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.05428494097347, "fos_buckling": 0.09879701682077754, "fos_yielding": 1.5837908622896213, "deflection": 0.006584569342771577, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001837)" }, "parent_node_id": "node_2140", "improvement_over_parent": null }, "node_2142": { "node_id": "node_2142", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 161.38 kg\n Factor of Safety: 1.18\n Max Deflection: 1.99e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.38209280460833, "fos_buckling": 1.1771006887759714, "fos_yielding": 3.0837441464637685, "deflection": 0.0019941882881751895, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004087)" }, "parent_node_id": "node_2141", "improvement_over_parent": null }, "node_2143": { "node_id": "node_2143", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n\nPerformance:\n Mass: 163.99 kg\n Factor of Safety: 1.21\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.99308237241524, "fos_buckling": 1.211324824378027, "fos_yielding": 3.052555383695372, "deflection": 0.001967263473087144, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001410)" }, "parent_node_id": "node_2142", "improvement_over_parent": null }, "node_2144": { "node_id": "node_2144", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n\nPerformance:\n Mass: 195.49 kg\n Factor of Safety: 1.41\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.48882456908754, "fos_buckling": 1.4061775861444616, "fos_yielding": 3.636767597949213, "deflection": 0.00165359534395599, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.208)" }, "parent_node_id": "node_2143", "improvement_over_parent": null }, "node_2145": { "node_id": "node_2145", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.25 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.2464871958832, "fos_buckling": 1.567948359855165, "fos_yielding": 4.1510977444392045, "deflection": 0.0014505269434494303, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.156)" }, "parent_node_id": "node_2144", "improvement_over_parent": null }, "node_2146": { "node_id": "node_2146", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2145", "improvement_over_parent": null }, "node_2147": { "node_id": "node_2147", "content": "INITIAL DESIGN (Trace 310)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 142.38 kg\n Factor of Safety: 1.00\n Max Deflection: 2.26e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.38306949124055, "fos_buckling": 1.000176260410276, "fos_yielding": 2.727836001548575, "deflection": 0.00226478376035673, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2148": { "node_id": "node_2148", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 172.89 kg\n Factor of Safety: 1.17\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.88719325122355, "fos_buckling": 1.1671431500490679, "fos_yielding": 3.30995784130998, "deflection": 0.0018691489437152025, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.230)" }, "parent_node_id": "node_2147", "improvement_over_parent": null }, "node_2149": { "node_id": "node_2149", "content": "MODIFICATION: Increase 4 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 174.21 kg\n Factor of Safety: 1.12\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.21431314177553, "fos_buckling": 1.116003477016436, "fos_yielding": 3.308035596794429, "deflection": 0.0018678336174009428, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.397)" }, "parent_node_id": "node_2148", "improvement_over_parent": null }, "node_2150": { "node_id": "node_2150", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n\nPerformance:\n Mass: 178.35 kg\n Factor of Safety: 1.30\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.34904334988937, "fos_buckling": 1.3016271549045868, "fos_yielding": 3.318904317914592, "deflection": 0.0018105517527959255, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001862)" }, "parent_node_id": "node_2149", "improvement_over_parent": null }, "node_2151": { "node_id": "node_2151", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 223.19 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.18640491269187, "fos_buckling": 1.5675984201359416, "fos_yielding": 4.149960956880591, "deflection": 0.0014509121057051167, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.276)" }, "parent_node_id": "node_2150", "improvement_over_parent": null }, "node_2152": { "node_id": "node_2152", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2151", "improvement_over_parent": null }, "node_2153": { "node_id": "node_2153", "content": "INITIAL DESIGN (Trace 311)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 171.07 kg\n Factor of Safety: 1.21\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.07030270311157, "fos_buckling": 1.2083271779268174, "fos_yielding": 3.347146012796326, "deflection": 0.0019361889173462, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2154": { "node_id": "node_2154", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n\nPerformance:\n Mass: 173.91 kg\n Factor of Safety: 1.11\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.90533908196255, "fos_buckling": 1.1144958051733682, "fos_yielding": 3.3021925798855567, "deflection": 0.0018711089519819915, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001540)" }, "parent_node_id": "node_2153", "improvement_over_parent": null }, "node_2155": { "node_id": "node_2155", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n\nPerformance:\n Mass: 194.89 kg\n Factor of Safety: 1.22\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.8910035344179, "fos_buckling": 1.2174164167837624, "fos_yielding": 3.6991951747760194, "deflection": 0.0016720602758189603, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.131)" }, "parent_node_id": "node_2154", "improvement_over_parent": null }, "node_2156": { "node_id": "node_2156", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n\nPerformance:\n Mass: 199.51 kg\n Factor of Safety: 1.43\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.51258461470124, "fos_buckling": 1.4301990870381958, "fos_yielding": 3.7114096685567497, "deflection": 0.0016206344622963303, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002100)" }, "parent_node_id": "node_2155", "improvement_over_parent": null }, "node_2157": { "node_id": "node_2157", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 223.30 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.2969960530993, "fos_buckling": 1.568226085935872, "fos_yielding": 4.152092072780063, "deflection": 0.001450183812558174, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.131)" }, "parent_node_id": "node_2156", "improvement_over_parent": null }, "node_2158": { "node_id": "node_2158", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2157", "improvement_over_parent": null }, "node_2159": { "node_id": "node_2159", "content": "INITIAL DESIGN (Trace 312)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 155.53 kg\n Factor of Safety: 1.16\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.5297976228443, "fos_buckling": 1.1637888156728542, "fos_yielding": 3.0427530378183865, "deflection": 0.0020208038976300435, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2160": { "node_id": "node_2160", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 177.33 kg\n Factor of Safety: 1.30\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.32579130812093, "fos_buckling": 1.301559083278662, "fos_yielding": 3.4683012404742444, "deflection": 0.0017750538793973342, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.151)" }, "parent_node_id": "node_2159", "improvement_over_parent": null }, "node_2161": { "node_id": "node_2161", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 214.79 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 214.78554113869174, "fos_buckling": 1.5240333874271854, "fos_yielding": 4.19917586423166, "deflection": 0.001469216669830084, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.232)" }, "parent_node_id": "node_2160", "improvement_over_parent": null }, "node_2162": { "node_id": "node_2162", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.40 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.3986457534524, "fos_buckling": 1.5688339834973577, "fos_yielding": 4.154041940778846, "deflection": 0.0014495157100630764, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_2161", "improvement_over_parent": null }, "node_2163": { "node_id": "node_2163", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2162", "improvement_over_parent": null }, "node_2164": { "node_id": "node_2164", "content": "INITIAL DESIGN (Trace 313)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n\nPerformance:\n Mass: 180.48 kg\n Factor of Safety: 0.94\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.47544735063448, "fos_buckling": 0.9360107590067839, "fos_yielding": 3.736110114059021, "deflection": 0.0019033958976727562, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2165": { "node_id": "node_2165", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n\nPerformance:\n Mass: 183.64 kg\n Factor of Safety: 0.99\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.64127288907525, "fos_buckling": 0.9901921783790617, "fos_yielding": 3.6947962796235134, "deflection": 0.0018783439163878141, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001735)" }, "parent_node_id": "node_2164", "improvement_over_parent": null }, "node_2166": { "node_id": "node_2166", "content": "MODIFICATION: Increase 10 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0026)]\n\nPerformance:\n Mass: 185.09 kg\n Factor of Safety: 1.00\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.09454313768077, "fos_buckling": 0.9950143016555165, "fos_yielding": 3.690945548587575, "deflection": 0.0018763717390012128, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.522)" }, "parent_node_id": "node_2165", "improvement_over_parent": null }, "node_2167": { "node_id": "node_2167", "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0026)]\n\nPerformance:\n Mass: 187.86 kg\n Factor of Safety: 0.98\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.85716601309335, "fos_buckling": 0.9761744377401466, "fos_yielding": 3.703123330033781, "deflection": 0.0018209310793881961, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.227)" }, "parent_node_id": "node_2166", "improvement_over_parent": null }, "node_2168": { "node_id": "node_2168", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0030)]\n\nPerformance:\n Mass: 211.02 kg\n Factor of Safety: 1.07\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.0171157118195, "fos_buckling": 1.0749230039033597, "fos_yielding": 4.156169795359052, "deflection": 0.0016219859757796121, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.135)" }, "parent_node_id": "node_2167", "improvement_over_parent": null }, "node_2169": { "node_id": "node_2169", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2168", "improvement_over_parent": null }, "node_2170": { "node_id": "node_2170", "content": "INITIAL DESIGN (Trace 314)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n\nPerformance:\n Mass: 123.93 kg\n Factor of Safety: 0.04\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": 123.93041108156108, "fos_buckling": 0.044153048482457546, "fos_yielding": 1.0223273382860472, "deflection": 0.00881916321561635, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2171": { "node_id": "node_2171", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n\nPerformance:\n Mass: 154.01 kg\n Factor of Safety: 1.15\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.01008044068794, "fos_buckling": 1.14706394520251, "fos_yielding": 2.8673117954444445, "deflection": 0.002093467884554052, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003865)" }, "parent_node_id": "node_2170", "improvement_over_parent": null }, "node_2172": { "node_id": "node_2172", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n\nPerformance:\n Mass: 173.41 kg\n Factor of Safety: 1.27\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.4065737627682, "fos_buckling": 1.2708427036345817, "fos_yielding": 3.2273102240436646, "deflection": 0.0018615811430599462, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.135)" }, "parent_node_id": "node_2171", "improvement_over_parent": null }, "node_2173": { "node_id": "node_2173", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.33 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.32621641021507, "fos_buckling": 1.5684164387604214, "fos_yielding": 4.152670379498103, "deflection": 0.001450020704322958, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.316)" }, "parent_node_id": "node_2172", "improvement_over_parent": null }, "node_2174": { "node_id": "node_2174", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 315)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n\nPerformance:\n Mass: 88.81 kg\n Factor of Safety: 0.03\n Max Deflection: 1.92e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 88.81434601496002, "fos_buckling": 0.03385973827115186, "fos_yielding": 0.7608733723441345, "deflection": 0.019198371742639157, "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: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n\nPerformance:\n Mass: 91.96 kg\n Factor of Safety: 0.03\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 91.96390613765583, "fos_buckling": 0.033837004988322004, "fos_yielding": 0.7603625252302945, "deflection": 0.011863350407576094, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001255)" }, "parent_node_id": "node_2175", "improvement_over_parent": null }, "node_2177": { "node_id": "node_2177", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0028)]\n\nPerformance:\n Mass: 114.28 kg\n Factor of Safety: 0.88\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": 114.28421066572335, "fos_buckling": 0.8792154950764169, "fos_yielding": 2.1292367041782505, "deflection": 0.0028140908442754885, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.002823)" }, "parent_node_id": "node_2176", "improvement_over_parent": null }, "node_2178": { "node_id": "node_2178", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0035)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n\nPerformance:\n Mass: 133.18 kg\n Factor of Safety: 1.01\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": 133.17754728988382, "fos_buckling": 1.0090146371186148, "fos_yielding": 2.4804008832916074, "deflection": 0.002417758473265691, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.174)" }, "parent_node_id": "node_2177", "improvement_over_parent": null }, "node_2179": { "node_id": "node_2179", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n\nPerformance:\n Mass: 151.25 kg\n Factor of Safety: 1.13\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": 151.25238246731993, "fos_buckling": 1.1290992728188511, "fos_yielding": 2.816129674480446, "deflection": 0.0021312686212181463, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_2178", "improvement_over_parent": null }, "node_2180": { "node_id": "node_2180", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n\nPerformance:\n Mass: 172.57 kg\n Factor of Safety: 1.27\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.56889288427377, "fos_buckling": 1.2655979189825732, "fos_yielding": 3.2117916490014005, "deflection": 0.0018705215044402305, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.151)" }, "parent_node_id": "node_2179", "improvement_over_parent": null }, "node_2181": { "node_id": "node_2181", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n\nPerformance:\n Mass: 193.93 kg\n Factor of Safety: 1.40\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.9295173225337, "fos_buckling": 1.396838211403513, "fos_yielding": 3.60796995063353, "deflection": 0.0016667348845801659, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.134)" }, "parent_node_id": "node_2180", "improvement_over_parent": null }, "node_2182": { "node_id": "node_2182", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.41 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.40705664328658, "fos_buckling": 1.5688810027491902, "fos_yielding": 4.154197099287157, "deflection": 0.0014495054913731885, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.167)" }, "parent_node_id": "node_2181", "improvement_over_parent": null }, "node_2183": { "node_id": "node_2183", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 316)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0020)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 131.70 kg\n Factor of Safety: 0.67\n Max Deflection: 2.36e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.69597235948822, "fos_buckling": 0.6700185523977693, "fos_yielding": 1.8210880464035524, "deflection": 0.0023649869138016744, "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 all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0026)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 168.24 kg\n Factor of Safety: 0.85\n Max Deflection: 1.84e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.24414996582465, "fos_buckling": 0.8475242437569248, "fos_yielding": 2.343659570350808, "deflection": 0.0018376599797642079, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_2184", "improvement_over_parent": null }, "node_2186": { "node_id": "node_2186", "content": "MODIFICATION: Increase 6 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 175.92 kg\n Factor of Safety: 1.22\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.91736810478915, "fos_buckling": 1.2162622226451096, "fos_yielding": 3.051041959238973, "deflection": 0.0016850376217350817, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.567)" }, "parent_node_id": "node_2185", "improvement_over_parent": null }, "node_2187": { "node_id": "node_2187", "content": "MODIFICATION: Increase 4 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 181.70 kg\n Factor of Safety: 1.24\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.70178084989533, "fos_buckling": 1.2439093096649665, "fos_yielding": 3.588798640158075, "deflection": 0.001669942417602316, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.245)" }, "parent_node_id": "node_2186", "improvement_over_parent": null }, "node_2188": { "node_id": "node_2188", "content": "MODIFICATION: Increase 8 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 183.78 kg\n Factor of Safety: 1.24\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.7802190917572, "fos_buckling": 1.235036058502044, "fos_yielding": 3.588798640158075, "deflection": 0.0016651232351415246, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.399)" }, "parent_node_id": "node_2187", "improvement_over_parent": null }, "node_2189": { "node_id": "node_2189", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 204.91 kg\n Factor of Safety: 1.34\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.90742071197235, "fos_buckling": 1.3405949259971521, "fos_yielding": 4.008037226110152, "deflection": 0.0014960753628981123, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.126)" }, "parent_node_id": "node_2188", "improvement_over_parent": null }, "node_2190": { "node_id": "node_2190", "content": "MODIFICATION: Increase 6 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 210.66 kg\n Factor of Safety: 1.34\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.66069576071146, "fos_buckling": 1.3405949259971521, "fos_yielding": 4.135094595371578, "deflection": 0.0014960753628981123, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.256)" }, "parent_node_id": "node_2189", "improvement_over_parent": null }, "node_2191": { "node_id": "node_2191", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.21 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.20905338080772, "fos_buckling": 1.5678470112212357, "fos_yielding": 4.148191249576374, "deflection": 0.001450670030483682, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_2190", "improvement_over_parent": null }, "node_2192": { "node_id": "node_2192", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2191", "improvement_over_parent": null }, "node_2193": { "node_id": "node_2193", "content": "INITIAL DESIGN (Trace 317)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 175.37 kg\n Factor of Safety: 1.16\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.3675330036752, "fos_buckling": 1.158939324550181, "fos_yielding": 3.3217835971274123, "deflection": 0.0017695835326780502, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2194": { "node_id": "node_2194", "content": "MODIFICATION: Increase 6 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 179.98 kg\n Factor of Safety: 1.32\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.98412830311506, "fos_buckling": 1.3178086215914224, "fos_yielding": 3.5197645988068227, "deflection": 0.0017492830010632989, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.238)" }, "parent_node_id": "node_2193", "improvement_over_parent": null }, "node_2195": { "node_id": "node_2195", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 214.72 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 214.72479437771628, "fos_buckling": 1.5235422316405096, "fos_yielding": 4.1974951507295595, "deflection": 0.0014697327677593106, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.212)" }, "parent_node_id": "node_2194", "improvement_over_parent": null }, "node_2196": { "node_id": "node_2196", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.34 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.33789899247694, "fos_buckling": 1.5684704297038758, "fos_yielding": 4.152389998801816, "deflection": 0.0014500293116551661, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_2195", "improvement_over_parent": null }, "node_2197": { "node_id": "node_2197", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2196", "improvement_over_parent": null }, "node_2198": { "node_id": "node_2198", "content": "INITIAL DESIGN (Trace 318)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2199": { "node_id": "node_2199", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n\nPerformance:\n Mass: 135.71 kg\n Factor of Safety: 0.77\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": 135.707901366278, "fos_buckling": 0.7666704046668157, "fos_yielding": 2.105726982046404, "deflection": 0.0023110498246254755, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001322)" }, "parent_node_id": "node_2198", "improvement_over_parent": null }, "node_2200": { "node_id": "node_2200", "content": "MODIFICATION: Increase 5 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n\nPerformance:\n Mass: 142.52 kg\n Factor of Safety: 1.05\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": 142.52246019094534, "fos_buckling": 1.0453571777895576, "fos_yielding": 2.903872988863955, "deflection": 0.002249854811225233, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.548)" }, "parent_node_id": "node_2199", "improvement_over_parent": null }, "node_2201": { "node_id": "node_2201", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n\nPerformance:\n Mass: 175.86 kg\n Factor of Safety: 1.29\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.8632319143053, "fos_buckling": 1.288651262153254, "fos_yielding": 3.5799332093045018, "deflection": 0.0018264327083682172, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.252)" }, "parent_node_id": "node_2200", "improvement_over_parent": null }, "node_2202": { "node_id": "node_2202", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0054)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 206.38 kg\n Factor of Safety: 1.47\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.38481679294756, "fos_buckling": 1.4742702100589582, "fos_yielding": 4.197631028427652, "deflection": 0.0015587271651595833, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.190)" }, "parent_node_id": "node_2201", "improvement_over_parent": null }, "node_2203": { "node_id": "node_2203", "content": "MODIFICATION: Increase 6 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0054)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0095)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 230.03 kg\n Factor of Safety: 1.47\n Max Deflection: 1.39e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 230.03474603479827, "fos_buckling": 1.4668384110425872, "fos_yielding": 4.197631028427652, "deflection": 0.0013942863471479582, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.637)" }, "parent_node_id": "node_2202", "improvement_over_parent": null }, "node_2204": { "node_id": "node_2204", "content": "MODIFICATION: Increase 1 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0054)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0095)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 234.79 kg\n Factor of Safety: 1.52\n Max Deflection: 1.31e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 234.78953939697982, "fos_buckling": 1.5221391795748227, "fos_yielding": 4.197631028427652, "deflection": 0.001312926481292803, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.408)" }, "parent_node_id": "node_2203", "improvement_over_parent": null }, "node_2205": { "node_id": "node_2205", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0054)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0095)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 243.40 kg\n Factor of Safety: 1.52\n Max Deflection: 1.31e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 243.40264401174048, "fos_buckling": 1.5218801819876855, "fos_yielding": 4.194381533536939, "deflection": 0.0013133880546794176, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_2204", "improvement_over_parent": null }, "node_2206": { "node_id": "node_2206", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2205", "improvement_over_parent": null }, "node_2207": { "node_id": "node_2207", "content": "INITIAL DESIGN (Trace 319)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 145.89 kg\n Factor of Safety: 1.02\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": 145.88871204238242, "fos_buckling": 1.0230036031488277, "fos_yielding": 2.9269088202593494, "deflection": 0.002234038677395561, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2208": { "node_id": "node_2208", "content": "MODIFICATION: Increase 1 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 148.84 kg\n Factor of Safety: 1.02\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": 148.8420562343873, "fos_buckling": 1.019748943070371, "fos_yielding": 2.9267873942107077, "deflection": 0.0021086966910937727, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.333)" }, "parent_node_id": "node_2207", "improvement_over_parent": null }, "node_2209": { "node_id": "node_2209", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 171.94 kg\n Factor of Safety: 1.15\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.93760625232068, "fos_buckling": 1.1457389134763185, "fos_yielding": 3.3794430749855118, "deflection": 0.0018283690499382424, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.167)" }, "parent_node_id": "node_2208", "improvement_over_parent": null }, "node_2210": { "node_id": "node_2210", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n\nPerformance:\n Mass: 182.17 kg\n Factor of Safety: 1.33\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.17490625476017, "fos_buckling": 1.325395359474277, "fos_yielding": 3.3901346312098735, "deflection": 0.0017730107270153648, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002481)" }, "parent_node_id": "node_2209", "improvement_over_parent": null }, "node_2211": { "node_id": "node_2211", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.32 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.31866426762875, "fos_buckling": 1.5684858790502303, "fos_yielding": 4.152729781334447, "deflection": 0.0014501085086299787, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.248)" }, "parent_node_id": "node_2210", "improvement_over_parent": null }, "node_2212": { "node_id": "node_2212", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 320)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 157.46 kg\n Factor of Safety: 0.95\n Max Deflection: 1.99e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.4561649704894, "fos_buckling": 0.9505718786836176, "fos_yielding": 2.3134161714326136, "deflection": 0.0019924833812728646, "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 4 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 164.59 kg\n Factor of Safety: 0.95\n Max Deflection: 1.99e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.58987082482722, "fos_buckling": 0.9505718786836178, "fos_yielding": 2.3134161714326136, "deflection": 0.0019924833812728624, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.427)" }, "parent_node_id": "node_2213", "improvement_over_parent": null }, "node_2215": { "node_id": "node_2215", "content": "MODIFICATION: Increase 2 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 165.25 kg\n Factor of Safety: 0.95\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.24699669049062, "fos_buckling": 0.9505322856947093, "fos_yielding": 2.3133198135843855, "deflection": 0.0019828384421457074, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.311)" }, "parent_node_id": "node_2214", "improvement_over_parent": null }, "node_2216": { "node_id": "node_2216", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 200.46 kg\n Factor of Safety: 1.13\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.45569762818943, "fos_buckling": 1.1347290588490027, "fos_yielding": 2.818707692164921, "deflection": 0.0016454803382090506, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.233)" }, "parent_node_id": "node_2215", "improvement_over_parent": null }, "node_2217": { "node_id": "node_2217", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 205.63 kg\n Factor of Safety: 1.15\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.6300405049181, "fos_buckling": 1.1511701218510868, "fos_yielding": 2.8595478825081106, "deflection": 0.0015206654947604314, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_2216", "improvement_over_parent": null }, "node_2218": { "node_id": "node_2218", "content": "MODIFICATION: Increase 4 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0087)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 219.50 kg\n Factor of Safety: 1.14\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 219.49612762783897, "fos_buckling": 1.135686211167526, "fos_yielding": 2.874104761323332, "deflection": 0.001520382536846389, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.529)" }, "parent_node_id": "node_2217", "improvement_over_parent": null }, "node_2219": { "node_id": "node_2219", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0087)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 225.65 kg\n Factor of Safety: 1.12\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 225.6499423661368, "fos_buckling": 1.1210209092489272, "fos_yielding": 2.842649908741223, "deflection": 0.0015150825943713233, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_2218", "improvement_over_parent": null }, "node_2220": { "node_id": "node_2220", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2219", "improvement_over_parent": null }, "node_2221": { "node_id": "node_2221", "content": "INITIAL DESIGN (Trace 321)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 185.53 kg\n Factor of Safety: 1.35\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.52884929286554, "fos_buckling": 1.3480895442007725, "fos_yielding": 3.766979672972891, "deflection": 0.0016923954926503823, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2222": { "node_id": "node_2222", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n\nPerformance:\n Mass: 189.28 kg\n Factor of Safety: 1.25\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.28328218890442, "fos_buckling": 1.247675515583558, "fos_yielding": 3.766979672972891, "deflection": 0.0016456120516793623, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001509)" }, "parent_node_id": "node_2221", "improvement_over_parent": null }, "node_2223": { "node_id": "node_2223", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n\nPerformance:\n Mass: 211.01 kg\n Factor of Safety: 1.37\n Max Deflection: 1.48e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.01403998150107, "fos_buckling": 1.3671037674485746, "fos_yielding": 4.19782856484861, "deflection": 0.0014783761640436248, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.126)" }, "parent_node_id": "node_2222", "improvement_over_parent": null }, "node_2224": { "node_id": "node_2224", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 219.63 kg\n Factor of Safety: 1.53\n Max Deflection: 1.46e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 219.62714459626173, "fos_buckling": 1.5250803156899029, "fos_yielding": 4.15727166588189, "deflection": 0.0014618755073082979, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_2223", "improvement_over_parent": null }, "node_2225": { "node_id": "node_2225", "content": "MODIFICATION: Increase 3 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 221.38 kg\n Factor of Safety: 1.45\n Max Deflection: 1.46e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.37790231057934, "fos_buckling": 1.4480183346507678, "fos_yielding": 4.158920217563441, "deflection": 0.0014582711698053912, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.560)" }, "parent_node_id": "node_2224", "improvement_over_parent": null }, "node_2226": { "node_id": "node_2226", "content": "MODIFICATION: Increase 5 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0086)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 234.80 kg\n Factor of Safety: 1.12\n Max Deflection: 1.44e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 234.79757074792602, "fos_buckling": 1.121949647337142, "fos_yielding": 4.1669250560090925, "deflection": 0.0014398472158699842, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.511)" }, "parent_node_id": "node_2225", "improvement_over_parent": null }, "node_2227": { "node_id": "node_2227", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2226", "improvement_over_parent": null }, "node_2228": { "node_id": "node_2228", "content": "INITIAL DESIGN (Trace 322)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 185.73 kg\n Factor of Safety: 1.24\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.7258033315813, "fos_buckling": 1.2353374283396767, "fos_yielding": 3.562634587782855, "deflection": 0.00174946856323132, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2229": { "node_id": "node_2229", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 216.41 kg\n Factor of Safety: 1.41\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.4099349767272, "fos_buckling": 1.4083538893441483, "fos_yielding": 4.147532909934622, "deflection": 0.0015040865821729396, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_2228", "improvement_over_parent": null }, "node_2230": { "node_id": "node_2230", "content": "MODIFICATION: Increase 3 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 218.17 kg\n Factor of Safety: 1.57\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 218.17000859252494, "fos_buckling": 1.5675862725589267, "fos_yielding": 4.148719347252543, "deflection": 0.0014995176954074817, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.565)" }, "parent_node_id": "node_2229", "improvement_over_parent": null }, "node_2231": { "node_id": "node_2231", "content": "MODIFICATION: Increase 8 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 220.40 kg\n Factor of Safety: 1.38\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 220.39820166712542, "fos_buckling": 1.3768514017171827, "fos_yielding": 4.140892962757212, "deflection": 0.0014959154396239117, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.383)" }, "parent_node_id": "node_2230", "improvement_over_parent": null }, "node_2232": { "node_id": "node_2232", "content": "MODIFICATION: Increase 0 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.33 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.3252862281916, "fos_buckling": 1.56837346383568, "fos_yielding": 4.152531856261722, "deflection": 0.001449952484382751, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.214)" }, "parent_node_id": "node_2231", "improvement_over_parent": null }, "node_2233": { "node_id": "node_2233", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2232", "improvement_over_parent": null }, "node_2234": { "node_id": "node_2234", "content": "INITIAL DESIGN (Trace 323)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0019)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 126.88 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": 126.88144388049699, "fos_buckling": 0.9879635767704795, "fos_yielding": 2.633960688769283, "deflection": 0.002591438837421037, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2235": { "node_id": "node_2235", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 157.25 kg\n Factor of Safety: 1.19\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.2458602613226, "fos_buckling": 1.1920586832082838, "fos_yielding": 3.2620988377381783, "deflection": 0.0020926170483552063, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.256)" }, "parent_node_id": "node_2234", "improvement_over_parent": null }, "node_2236": { "node_id": "node_2236", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 202.34 kg\n Factor of Safety: 1.47\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.33514696275614, "fos_buckling": 1.4722667054331848, "fos_yielding": 4.1931324878592795, "deflection": 0.001628020428835778, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.314)" }, "parent_node_id": "node_2235", "improvement_over_parent": null }, "node_2237": { "node_id": "node_2237", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 208.49 kg\n Factor of Safety: 1.28\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.48896170105397, "fos_buckling": 1.2821208421529475, "fos_yielding": 4.1931324878592795, "deflection": 0.0015506083463120192, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_2236", "improvement_over_parent": null }, "node_2238": { "node_id": "node_2238", "content": "MODIFICATION: Increase 2 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 209.67 kg\n Factor of Safety: 1.28\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.67230436384241, "fos_buckling": 1.281809767598569, "fos_yielding": 4.19281722802183, "deflection": 0.0015507918002114689, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.548)" }, "parent_node_id": "node_2237", "improvement_over_parent": null }, "node_2239": { "node_id": "node_2239", "content": "MODIFICATION: Increase 1 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 214.46 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 214.45607555494203, "fos_buckling": 1.5221742077105773, "fos_yielding": 4.19281722802183, "deflection": 0.0014715145396111734, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.412)" }, "parent_node_id": "node_2238", "improvement_over_parent": null }, "node_2240": { "node_id": "node_2240", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n\nPerformance:\n Mass: 219.91 kg\n Factor of Safety: 1.56\n Max Deflection: 1.46e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 219.91394958198845, "fos_buckling": 1.5638249766217296, "fos_yielding": 4.15732358972963, "deflection": 0.001455689645669846, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001570)" }, "parent_node_id": "node_2239", "improvement_over_parent": null }, "node_2241": { "node_id": "node_2241", "content": "MODIFICATION: Increase 8 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0093)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n\nPerformance:\n Mass: 242.92 kg\n Factor of Safety: 1.57\n Max Deflection: 1.32e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 242.92163290556078, "fos_buckling": 1.5679542626050813, "fos_yielding": 4.15113907009646, "deflection": 0.001318994473663642, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.634)" }, "parent_node_id": "node_2240", "improvement_over_parent": null }, "node_2242": { "node_id": "node_2242", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2241", "improvement_over_parent": null }, "node_2243": { "node_id": "node_2243", "content": "INITIAL DESIGN (Trace 324)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 169.09 kg\n Factor of Safety: 1.10\n Max Deflection: 1.89e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.08653166359716, "fos_buckling": 1.1005718950718915, "fos_yielding": 2.723942042343154, "deflection": 0.0018850648773256194, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2244": { "node_id": "node_2244", "content": "MODIFICATION: Increase 5 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 170.02 kg\n Factor of Safety: 1.10\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.01615532936881, "fos_buckling": 1.0999001769408083, "fos_yielding": 2.722279523732553, "deflection": 0.0018803105851862084, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.245)" }, "parent_node_id": "node_2243", "improvement_over_parent": null }, "node_2245": { "node_id": "node_2245", "content": "MODIFICATION: Increase 2 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 171.04 kg\n Factor of Safety: 1.10\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.04416373011665, "fos_buckling": 1.0988455506076202, "fos_yielding": 2.7196692980664277, "deflection": 0.0018779951406014172, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.592)" }, "parent_node_id": "node_2244", "improvement_over_parent": null }, "node_2246": { "node_id": "node_2246", "content": "MODIFICATION: Increase 4 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 176.70 kg\n Factor of Safety: 1.07\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.69875015194117, "fos_buckling": 1.065653777299059, "fos_yielding": 3.3677655865437917, "deflection": 0.0018585839630691295, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.266)" }, "parent_node_id": "node_2245", "improvement_over_parent": null }, "node_2247": { "node_id": "node_2247", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 217.04 kg\n Factor of Safety: 1.26\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.04067459747228, "fos_buckling": 1.2560120920053874, "fos_yielding": 4.1318658026127055, "deflection": 0.0015163327935222126, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.250)" }, "parent_node_id": "node_2246", "improvement_over_parent": null }, "node_2248": { "node_id": "node_2248", "content": "MODIFICATION: Increase 7 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.21 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.21199582627315, "fos_buckling": 1.5676722503968603, "fos_yielding": 4.148705971438436, "deflection": 0.001450587618140218, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.181)" }, "parent_node_id": "node_2247", "improvement_over_parent": null }, "node_2249": { "node_id": "node_2249", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2248", "improvement_over_parent": null }, "node_2250": { "node_id": "node_2250", "content": "INITIAL DESIGN (Trace 325)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nPerformance:\n Mass: 124.29 kg\n Factor of Safety: 0.15\n Max Deflection: 9.93e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.28608267245848, "fos_buckling": 0.15288152301364485, "fos_yielding": 1.9921908068952219, "deflection": 9934115998802.36, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2251": { "node_id": "node_2251", "content": "MODIFICATION: Increase 5 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nPerformance:\n Mass: 131.36 kg\n Factor of Safety: 0.15\n Max Deflection: 9.93e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.35779347863104, "fos_buckling": 0.15288152301364485, "fos_yielding": 2.2051068920960297, "deflection": 9934115998802.357, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.449)" }, "parent_node_id": "node_2250", "improvement_over_parent": null }, "node_2252": { "node_id": "node_2252", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 166.89 kg\n Factor of Safety: 0.15\n Max Deflection: 1.09e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.89493097314468, "fos_buckling": 0.14722506947188052, "fos_yielding": 2.2051068920960297, "deflection": 10869175597448.863, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.297)" }, "parent_node_id": "node_2251", "improvement_over_parent": null }, "node_2253": { "node_id": "node_2253", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 175.51 kg\n Factor of Safety: 0.07\n Max Deflection: 1.36e+13 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.50803558790534, "fos_buckling": 0.07361253473594026, "fos_yielding": 1.1025534460480149, "deflection": 13612200505015.73, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_2252", "improvement_over_parent": null }, "node_2254": { "node_id": "node_2254", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 206.70 kg\n Factor of Safety: 1.12\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.6994027300038, "fos_buckling": 1.118148617134833, "fos_yielding": 4.139930514741528, "deflection": 0.001673671079537459, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004068)" }, "parent_node_id": "node_2253", "improvement_over_parent": null }, "node_2255": { "node_id": "node_2255", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 211.87 kg\n Factor of Safety: 1.17\n Max Deflection: 1.58e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.87374560673248, "fos_buckling": 1.1740715096798156, "fos_yielding": 4.160823645187821, "deflection": 0.0015839695851392647, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_2254", "improvement_over_parent": null }, "node_2256": { "node_id": "node_2256", "content": "MODIFICATION: Increase 10 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0033)]\n\nPerformance:\n Mass: 213.69 kg\n Factor of Safety: 1.26\n Max Deflection: 1.58e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.69301997465695, "fos_buckling": 1.2625066649390475, "fos_yielding": 4.16204588607266, "deflection": 0.0015788924711601959, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.403)" }, "parent_node_id": "node_2255", "improvement_over_parent": null }, "node_2257": { "node_id": "node_2257", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2256", "improvement_over_parent": null }, "node_2258": { "node_id": "node_2258", "content": "INITIAL DESIGN (Trace 326)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\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_2259": { "node_id": "node_2259", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 168.06 kg\n Factor of Safety: 0.01\n Max Deflection: 1.04e+14 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.06002479818238, "fos_buckling": 0.01474985050380952, "fos_yielding": 0.2744539092851078, "deflection": 103580663962479.28, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_2258", "improvement_over_parent": null }, "node_2260": { "node_id": "node_2260", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 210.71 kg\n Factor of Safety: 1.34\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.71199314955578, "fos_buckling": 1.339237367689591, "fos_yielding": 4.138239481074689, "deflection": 0.0014958161507800359, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_2259", "improvement_over_parent": null }, "node_2261": { "node_id": "node_2261", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.26035076965204, "fos_buckling": 1.5680842806615805, "fos_yielding": 4.151341494353928, "deflection": 0.001450423544149228, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_2260", "improvement_over_parent": null }, "node_2262": { "node_id": "node_2262", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2261", "improvement_over_parent": null }, "node_2263": { "node_id": "node_2263", "content": "INITIAL DESIGN (Trace 327)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0010)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 106.00 kg\n Factor of Safety: 0.04\n Max Deflection: 4.16e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 106.00055800278959, "fos_buckling": 0.04068302398709843, "fos_yielding": 0.5512767230240074, "deflection": 41622349778145.586, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2264": { "node_id": "node_2264", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0010)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n\nPerformance:\n Mass: 114.25 kg\n Factor of Safety: 0.08\n Max Deflection: 5.92e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.24913530090772, "fos_buckling": 0.08136604797419686, "fos_yielding": 1.1025534460480149, "deflection": 5915379909381.297, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.001970)" }, "parent_node_id": "node_2263", "improvement_over_parent": null }, "node_2265": { "node_id": "node_2265", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n\nPerformance:\n Mass: 134.73 kg\n Factor of Safety: 0.07\n Max Deflection: 1.13e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.73407876953232, "fos_buckling": 0.0669804786029519, "fos_yielding": 1.08126794842885, "deflection": 11300616327999.652, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.192)" }, "parent_node_id": "node_2264", "improvement_over_parent": null }, "node_2266": { "node_id": "node_2266", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 173.92 kg\n Factor of Safety: 0.08\n Max Deflection: 1.04e+13 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.92419810174127, "fos_buckling": 0.07837133670942006, "fos_yielding": 1.1025534460480146, "deflection": 10433809993170.902, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_2265", "improvement_over_parent": null }, "node_2267": { "node_id": "node_2267", "content": "MODIFICATION: Increase 4 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 176.12 kg\n Factor of Safety: 0.29\n Max Deflection: 3.40e+12 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.1224546318036, "fos_buckling": 0.2945139543990732, "fos_yielding": 3.4455668361996796, "deflection": 3403159154813.3564, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.610)" }, "parent_node_id": "node_2266", "improvement_over_parent": null }, "node_2268": { "node_id": "node_2268", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 179.68 kg\n Factor of Safety: 0.06\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.67686196750162, "fos_buckling": 0.060365821836410316, "fos_yielding": 1.475868723910045, "deflection": 0.006103023224051345, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_2267", "improvement_over_parent": null }, "node_2269": { "node_id": "node_2269", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.29 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.28791621026232, "fos_buckling": 1.5682115551647597, "fos_yielding": 4.152056548919831, "deflection": 0.0014502561951509724, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_2268", "improvement_over_parent": null }, "node_2270": { "node_id": "node_2270", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2269", "improvement_over_parent": null }, "node_2271": { "node_id": "node_2271", "content": "INITIAL DESIGN (Trace 328)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 168.47 kg\n Factor of Safety: 1.21\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.46565142876364, "fos_buckling": 1.2111036396631012, "fos_yielding": 3.3137634889957552, "deflection": 0.001983980315406015, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2272": { "node_id": "node_2272", "content": "MODIFICATION: Increase 3 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 169.25 kg\n Factor of Safety: 1.21\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.24992627969806, "fos_buckling": 1.2113454665089016, "fos_yielding": 3.3140424886324475, "deflection": 0.001984157179072103, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.255)" }, "parent_node_id": "node_2271", "improvement_over_parent": null }, "node_2273": { "node_id": "node_2273", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 174.11 kg\n Factor of Safety: 1.17\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.10609566011283, "fos_buckling": 1.1723258194860042, "fos_yielding": 3.271053630389954, "deflection": 0.0018844782059702677, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001984)" }, "parent_node_id": "node_2272", "improvement_over_parent": null }, "node_2274": { "node_id": "node_2274", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 220.78 kg\n Factor of Safety: 1.41\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 220.7834036956749, "fos_buckling": 1.4137918767875999, "fos_yielding": 4.143771771832687, "deflection": 0.0014898537032513573, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.294)" }, "parent_node_id": "node_2273", "improvement_over_parent": null }, "node_2275": { "node_id": "node_2275", "content": "MODIFICATION: Increase 0 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.41 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.4071785992267, "fos_buckling": 1.5688238420341998, "fos_yielding": 4.154013949101162, "deflection": 0.0014494509058603476, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.188)" }, "parent_node_id": "node_2274", "improvement_over_parent": null }, "node_2276": { "node_id": "node_2276", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2275", "improvement_over_parent": null }, "node_2277": { "node_id": "node_2277", "content": "INITIAL DESIGN (Trace 329)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 214.43 kg\n Factor of Safety: 1.12\n Max Deflection: 1.59e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.42791179869775, "fos_buckling": 1.1232161374571565, "fos_yielding": 4.127655060438894, "deflection": 0.0015896086675030912, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2278": { "node_id": "node_2278", "content": "MODIFICATION: Increase 3 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 215.38 kg\n Factor of Safety: 1.13\n Max Deflection: 1.59e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.378093817431, "fos_buckling": 1.1348543862303664, "fos_yielding": 4.128326387441056, "deflection": 0.001587234292624725, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.247)" }, "parent_node_id": "node_2277", "improvement_over_parent": null }, "node_2279": { "node_id": "node_2279", "content": "MODIFICATION: Increase 1 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 217.91 kg\n Factor of Safety: 1.10\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.90687687605734, "fos_buckling": 1.100089873560636, "fos_yielding": 4.1262795985631735, "deflection": 0.0015497002627702149, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.185)" }, "parent_node_id": "node_2278", "improvement_over_parent": null }, "node_2280": { "node_id": "node_2280", "content": "MODIFICATION: Increase 0 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.25 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25465348447324, "fos_buckling": 1.568015182869636, "fos_yielding": 4.151333584141965, "deflection": 0.0014504936699262826, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.466)" }, "parent_node_id": "node_2279", "improvement_over_parent": null }, "node_2281": { "node_id": "node_2281", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2280", "improvement_over_parent": null }, "node_2282": { "node_id": "node_2282", "content": "INITIAL DESIGN (Trace 330)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0010)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 136.37 kg\n Factor of Safety: 0.95\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": 136.3654359493652, "fos_buckling": 0.9469412500650818, "fos_yielding": 2.6460113412094244, "deflection": 0.0023503003473650083, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2283": { "node_id": "node_2283", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0043)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 164.54 kg\n Factor of Safety: 1.11\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.54055983454202, "fos_buckling": 1.1102901009870114, "fos_yielding": 3.190589991571311, "deflection": 0.0019519481357873159, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.221)" }, "parent_node_id": "node_2282", "improvement_over_parent": null }, "node_2284": { "node_id": "node_2284", "content": "MODIFICATION: Increase 7 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0043)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 166.81 kg\n Factor of Safety: 0.92\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.80784608748942, "fos_buckling": 0.9169731443749586, "fos_yielding": 3.18331930069643, "deflection": 0.0019453449925920085, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.558)" }, "parent_node_id": "node_2283", "improvement_over_parent": null }, "node_2285": { "node_id": "node_2285", "content": "MODIFICATION: Increase 2 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0043)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 167.46 kg\n Factor of Safety: 1.08\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.45518974588683, "fos_buckling": 1.081046463299171, "fos_yielding": 3.1801393557617303, "deflection": 0.0019423021233512488, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.333)" }, "parent_node_id": "node_2284", "improvement_over_parent": null }, "node_2286": { "node_id": "node_2286", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 190.49 kg\n Factor of Safety: 1.20\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.49250157958988, "fos_buckling": 1.195786474557715, "fos_yielding": 3.616049123142997, "deflection": 0.0017101385469468558, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.149)" }, "parent_node_id": "node_2285", "improvement_over_parent": null }, "node_2287": { "node_id": "node_2287", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n\nPerformance:\n Mass: 195.01 kg\n Factor of Safety: 1.40\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.0146203785729, "fos_buckling": 1.4033352476884144, "fos_yielding": 3.6279774364420994, "deflection": 0.0016575622849309304, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002051)" }, "parent_node_id": "node_2286", "improvement_over_parent": null }, "node_2288": { "node_id": "node_2288", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 223.24 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.23812116465325, "fos_buckling": 1.5679018357328807, "fos_yielding": 4.150944446162556, "deflection": 0.0014505766991906154, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.159)" }, "parent_node_id": "node_2287", "improvement_over_parent": null }, "node_2289": { "node_id": "node_2289", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2288", "improvement_over_parent": null }, "node_2290": { "node_id": "node_2290", "content": "INITIAL DESIGN (Trace 331)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 170.86 kg\n Factor of Safety: 1.06\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.85591851509844, "fos_buckling": 1.0578611949954275, "fos_yielding": 3.3956324271943763, "deflection": 0.001954052877753014, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2291": { "node_id": "node_2291", "content": "MODIFICATION: Increase 6 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 177.75 kg\n Factor of Safety: 1.28\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.74930812282372, "fos_buckling": 1.278482951271786, "fos_yielding": 3.395632427194377, "deflection": 0.0018125038128027284, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.261)" }, "parent_node_id": "node_2290", "improvement_over_parent": null }, "node_2292": { "node_id": "node_2292", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 219.68 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 219.67857717092312, "fos_buckling": 1.5225470016951008, "fos_yielding": 4.194412292851671, "deflection": 0.001470742760557887, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.259)" }, "parent_node_id": "node_2291", "improvement_over_parent": null }, "node_2293": { "node_id": "node_2293", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.23 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.23298450662114, "fos_buckling": 1.5678050798950012, "fos_yielding": 4.150682371217644, "deflection": 0.0014505714243950197, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_2292", "improvement_over_parent": null }, "node_2294": { "node_id": "node_2294", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2293", "improvement_over_parent": null }, "node_2295": { "node_id": "node_2295", "content": "INITIAL DESIGN (Trace 332)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 169.62 kg\n Factor of Safety: 1.16\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.62477942894796, "fos_buckling": 1.161357956049542, "fos_yielding": 3.3121908382995313, "deflection": 0.0018669071569620583, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2296": { "node_id": "node_2296", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 212.35 kg\n Factor of Safety: 1.37\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.3506488406398, "fos_buckling": 1.3749011575120837, "fos_yielding": 4.141290853539657, "deflection": 0.0014961591147757312, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.276)" }, "parent_node_id": "node_2295", "improvement_over_parent": null }, "node_2297": { "node_id": "node_2297", "content": "MODIFICATION: Increase 8 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 216.84 kg\n Factor of Safety: 1.37\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.84010947732634, "fos_buckling": 1.3673155591773891, "fos_yielding": 4.140992293808257, "deflection": 0.0014967002695486136, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.610)" }, "parent_node_id": "node_2296", "improvement_over_parent": null }, "node_2298": { "node_id": "node_2298", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 222.01 kg\n Factor of Safety: 1.55\n Max Deflection: 1.46e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 222.014452354055, "fos_buckling": 1.5526173337782787, "fos_yielding": 4.15688211005069, "deflection": 0.0014550454948479988, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_2297", "improvement_over_parent": null }, "node_2299": { "node_id": "node_2299", "content": "MODIFICATION: Increase 5 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0074)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 230.17 kg\n Factor of Safety: 1.29\n Max Deflection: 1.44e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 230.17268087772973, "fos_buckling": 1.2934648552564412, "fos_yielding": 4.1619323036709295, "deflection": 0.0014416989219960096, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.304)" }, "parent_node_id": "node_2298", "improvement_over_parent": null }, "node_2300": { "node_id": "node_2300", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2299", "improvement_over_parent": null }, "node_2301": { "node_id": "node_2301", "content": "INITIAL DESIGN (Trace 333)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 158.77 kg\n Factor of Safety: 0.98\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.77368732898123, "fos_buckling": 0.9793818766458162, "fos_yielding": 3.499145649635878, "deflection": 0.002107074564952863, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2302": { "node_id": "node_2302", "content": "MODIFICATION: Increase 1 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 161.09 kg\n Factor of Safety: 0.98\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": 161.08921621397994, "fos_buckling": 0.9791415200649004, "fos_yielding": 3.499145649635878, "deflection": 0.0020445941048495954, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.203)" }, "parent_node_id": "node_2301", "improvement_over_parent": null }, "node_2303": { "node_id": "node_2303", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n\nPerformance:\n Mass: 193.59 kg\n Factor of Safety: 1.15\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.59097819044928, "fos_buckling": 1.1520397795953699, "fos_yielding": 4.1983473572160115, "deflection": 0.001708497014532507, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.220)" }, "parent_node_id": "node_2302", "improvement_over_parent": null }, "node_2304": { "node_id": "node_2304", "content": "MODIFICATION: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n\nPerformance:\n Mass: 198.08 kg\n Factor of Safety: 1.15\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.08099567309634, "fos_buckling": 1.1520397795953699, "fos_yielding": 4.1983473572160115, "deflection": 0.001708497014532507, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.190)" }, "parent_node_id": "node_2303", "improvement_over_parent": null }, "node_2305": { "node_id": "node_2305", "content": "MODIFICATION: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n\nPerformance:\n Mass: 199.12 kg\n Factor of Safety: 1.15\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.1236749400077, "fos_buckling": 1.15178583263802, "fos_yielding": 4.1983473572160115, "deflection": 0.00170523118312073, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.224)" }, "parent_node_id": "node_2304", "improvement_over_parent": null }, "node_2306": { "node_id": "node_2306", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 207.74 kg\n Factor of Safety: 1.15\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.73677955476836, "fos_buckling": 1.150738146887675, "fos_yielding": 4.13965799643669, "deflection": 0.0016523993567080066, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_2305", "improvement_over_parent": null }, "node_2307": { "node_id": "node_2307", "content": "MODIFICATION: Increase 9 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0035)]\n\nPerformance:\n Mass: 210.42 kg\n Factor of Safety: 1.15\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.41778454325248, "fos_buckling": 1.150412422131794, "fos_yielding": 4.132488617581776, "deflection": 0.0016488838922647444, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.355)" }, "parent_node_id": "node_2306", "improvement_over_parent": null }, "node_2308": { "node_id": "node_2308", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0035)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 215.59 kg\n Factor of Safety: 1.23\n Max Deflection: 1.57e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.59212741998115, "fos_buckling": 1.2276762967768464, "fos_yielding": 4.154672505032861, "deflection": 0.0015667541193278883, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_2307", "improvement_over_parent": null }, "node_2309": { "node_id": "node_2309", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2308", "improvement_over_parent": null }, "node_2310": { "node_id": "node_2310", "content": "INITIAL DESIGN (Trace 334)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 142.71 kg\n Factor of Safety: 0.79\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": 142.71249771120958, "fos_buckling": 0.7940950942724685, "fos_yielding": 2.725610832808459, "deflection": 0.002269681532118193, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2311": { "node_id": "node_2311", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 157.97 kg\n Factor of Safety: 0.87\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": 157.97070527310277, "fos_buckling": 0.8666837940940287, "fos_yielding": 3.0160843207157293, "deflection": 0.0020526667899995158, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.114)" }, "parent_node_id": "node_2310", "improvement_over_parent": null }, "node_2312": { "node_id": "node_2312", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n\nPerformance:\n Mass: 161.73 kg\n Factor of Safety: 1.15\n Max Deflection: 1.99e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.7330545084826, "fos_buckling": 1.1548124925064007, "fos_yielding": 3.025261602213393, "deflection": 0.0019886207451179014, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001683)" }, "parent_node_id": "node_2311", "improvement_over_parent": null }, "node_2313": { "node_id": "node_2313", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n\nPerformance:\n Mass: 188.10 kg\n Factor of Safety: 1.31\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.10438132370055, "fos_buckling": 1.3096410281621962, "fos_yielding": 3.516774156062155, "deflection": 0.0017127297773491378, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.176)" }, "parent_node_id": "node_2312", "improvement_over_parent": null }, "node_2314": { "node_id": "node_2314", "content": "MODIFICATION: Increase 2 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n\nPerformance:\n Mass: 188.86 kg\n Factor of Safety: 1.37\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.85530273252263, "fos_buckling": 1.366130419371826, "fos_yielding": 3.5138009496754434, "deflection": 0.001710947542654888, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.359)" }, "parent_node_id": "node_2313", "improvement_over_parent": null }, "node_2315": { "node_id": "node_2315", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 223.24 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.24413781509162, "fos_buckling": 1.5679230582511632, "fos_yielding": 4.151081861930939, "deflection": 0.001450530003762459, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.200)" }, "parent_node_id": "node_2314", "improvement_over_parent": null }, "node_2316": { "node_id": "node_2316", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2315", "improvement_over_parent": null }, "node_2317": { "node_id": "node_2317", "content": "INITIAL DESIGN (Trace 335)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0014)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0025)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0010)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0024)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0010)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0017)]\n\nPerformance:\n Mass: 87.23 kg\n Factor of Safety: 0.51\n Max Deflection: 4.05e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 87.22925873668807, "fos_buckling": 0.5124374250027774, "fos_yielding": 1.7859798836548229, "deflection": 0.0040475167411716745, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2318": { "node_id": "node_2318", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0018)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0031)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0022)]\n\nPerformance:\n Mass: 112.02 kg\n Factor of Safety: 0.65\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": 112.02217382212562, "fos_buckling": 0.6490954528890154, "fos_yielding": 2.291022900141672, "deflection": 0.0031538451739491985, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.297)" }, "parent_node_id": "node_2317", "improvement_over_parent": null }, "node_2319": { "node_id": "node_2319", "content": "MODIFICATION: Increase 1 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0031)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0022)]\n\nPerformance:\n Mass: 113.96 kg\n Factor of Safety: 0.65\n Max Deflection: 3.03e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.95511564162918, "fos_buckling": 0.6489620021927305, "fos_yielding": 2.290960658673206, "deflection": 0.003026764248398597, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.261)" }, "parent_node_id": "node_2318", "improvement_over_parent": null }, "node_2320": { "node_id": "node_2320", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0031)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0022)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n\nPerformance:\n Mass: 116.82 kg\n Factor of Safety: 0.70\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": 116.8162610661893, "fos_buckling": 0.7038112249766917, "fos_yielding": 2.3025311546012177, "deflection": 0.002862454022952282, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001260)" }, "parent_node_id": "node_2319", "improvement_over_parent": null }, "node_2321": { "node_id": "node_2321", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n\nPerformance:\n Mass: 143.75 kg\n Factor of Safety: 0.85\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": 143.75193961414152, "fos_buckling": 0.8459943031438081, "fos_yielding": 2.8305780193720746, "deflection": 0.0023286716916415358, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.244)" }, "parent_node_id": "node_2320", "improvement_over_parent": null }, "node_2322": { "node_id": "node_2322", "content": "MODIFICATION: Increase 10 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0022)]\n\nPerformance:\n Mass: 145.06 kg\n Factor of Safety: 0.89\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": 145.0575324742047, "fos_buckling": 0.8896596996576678, "fos_yielding": 2.8314489434672727, "deflection": 0.0023207101429491873, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.404)" }, "parent_node_id": "node_2321", "improvement_over_parent": null }, "node_2323": { "node_id": "node_2323", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0026)]\n\nPerformance:\n Mass: 167.28 kg\n Factor of Safety: 1.01\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": 167.28344106835263, "fos_buckling": 1.013715835509163, "fos_yielding": 3.2629756513474564, "deflection": 0.0020140011065124014, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.164)" }, "parent_node_id": "node_2322", "improvement_over_parent": null }, "node_2324": { "node_id": "node_2324", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0033)]\n\nPerformance:\n Mass: 213.44 kg\n Factor of Safety: 1.26\n Max Deflection: 1.58e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.4395664951576, "fos_buckling": 1.2607975866003298, "fos_yielding": 4.1570042389086925, "deflection": 0.0015810282437513153, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.302)" }, "parent_node_id": "node_2323", "improvement_over_parent": null }, "node_2325": { "node_id": "node_2325", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2324", "improvement_over_parent": null }, "node_2326": { "node_id": "node_2326", "content": "INITIAL DESIGN (Trace 336)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, 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_2327": { "node_id": "node_2327", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n\nPerformance:\n Mass: 134.70 kg\n Factor of Safety: 0.05\n Max Deflection: 7.69e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.69644888751736, "fos_buckling": 0.04984115886938382, "fos_yielding": 1.1747421164368557, "deflection": 0.0076901280126532336, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.001478)" }, "parent_node_id": "node_2326", "improvement_over_parent": null }, "node_2328": { "node_id": "node_2328", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n\nPerformance:\n Mass: 138.80 kg\n Factor of Safety: 0.05\n Max Deflection: 7.68e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.8001789786917, "fos_buckling": 0.04981942826289184, "fos_yielding": 1.1742299321449783, "deflection": 0.0076801170375588555, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001847)" }, "parent_node_id": "node_2327", "improvement_over_parent": null }, "node_2329": { "node_id": "node_2329", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n\nPerformance:\n Mass: 173.39 kg\n Factor of Safety: 1.28\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.38845928284397, "fos_buckling": 1.2760880955677782, "fos_yielding": 3.2932264058726055, "deflection": 0.0018337697947368044, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004487)" }, "parent_node_id": "node_2328", "improvement_over_parent": null }, "node_2330": { "node_id": "node_2330", "content": "MODIFICATION: Increase 9 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0030)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n\nPerformance:\n Mass: 175.68 kg\n Factor of Safety: 1.28\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.67842702904886, "fos_buckling": 1.2812843198138113, "fos_yielding": 3.293816830595117, "deflection": 0.001830858102053514, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.629)" }, "parent_node_id": "node_2329", "improvement_over_parent": null }, "node_2331": { "node_id": "node_2331", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0039)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 221.55 kg\n Factor of Safety: 1.55\n Max Deflection: 1.46e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 221.55281110839763, "fos_buckling": 1.553667179152352, "fos_yielding": 4.151483702674328, "deflection": 0.0014556124239070145, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.287)" }, "parent_node_id": "node_2330", "improvement_over_parent": null }, "node_2332": { "node_id": "node_2332", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2331", "improvement_over_parent": null }, "node_2333": { "node_id": "node_2333", "content": "INITIAL DESIGN (Trace 337)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 154.94 kg\n Factor of Safety: 0.06\n Max Deflection: 6.73e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.93888016327264, "fos_buckling": 0.05579540703009967, "fos_yielding": 1.3416693035881524, "deflection": 0.006731200132923379, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2334": { "node_id": "node_2334", "content": "MODIFICATION: Increase 0 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 158.26 kg\n Factor of Safety: 0.06\n Max Deflection: 6.73e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.2639691463069, "fos_buckling": 0.05577572268513553, "fos_yielding": 1.3411959692618092, "deflection": 0.006732699310159112, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.279)" }, "parent_node_id": "node_2333", "improvement_over_parent": null }, "node_2335": { "node_id": "node_2335", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n\nPerformance:\n Mass: 162.96 kg\n Factor of Safety: 0.06\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": 162.95634972218778, "fos_buckling": 0.05574796766715107, "fos_yielding": 1.340528565659391, "deflection": 0.006721875309244983, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002135)" }, "parent_node_id": "node_2334", "improvement_over_parent": null }, "node_2336": { "node_id": "node_2336", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 179.56 kg\n Factor of Safety: 0.06\n Max Deflection: 6.11e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.56425579684122, "fos_buckling": 0.06035121676196464, "fos_yielding": 1.4754098175380697, "deflection": 0.006105868953732342, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.112)" }, "parent_node_id": "node_2335", "improvement_over_parent": null }, "node_2337": { "node_id": "node_2337", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.18 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.17531003960192, "fos_buckling": 1.5674081629595766, "fos_yielding": 4.149411332222876, "deflection": 0.001450889312019643, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_2336", "improvement_over_parent": null }, "node_2338": { "node_id": "node_2338", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2337", "improvement_over_parent": null }, "node_2339": { "node_id": "node_2339", "content": "INITIAL DESIGN (Trace 338)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 173.99 kg\n Factor of Safety: 0.80\n Max Deflection: 1.89e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.9945140765349, "fos_buckling": 0.80168250701707, "fos_yielding": 3.527365589674952, "deflection": 0.0018903316564549855, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2340": { "node_id": "node_2340", "content": "MODIFICATION: Increase 10 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 183.67 kg\n Factor of Safety: 1.22\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.66553541504422, "fos_buckling": 1.2199185890051567, "fos_yielding": 3.5221127964011862, "deflection": 0.0017258007486411723, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.395)" }, "parent_node_id": "node_2339", "improvement_over_parent": null }, "node_2341": { "node_id": "node_2341", "content": "MODIFICATION: Increase 3 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 185.25 kg\n Factor of Safety: 1.36\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.25081442038513, "fos_buckling": 1.361231471804582, "fos_yielding": 3.5232975151620187, "deflection": 0.0017202908398984348, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.613)" }, "parent_node_id": "node_2340", "improvement_over_parent": null }, "node_2342": { "node_id": "node_2342", "content": "MODIFICATION: Increase 5 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 186.28 kg\n Factor of Safety: 1.36\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.27991983502733, "fos_buckling": 1.3639790083041223, "fos_yielding": 3.5210073104822275, "deflection": 0.0017153685836954066, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.266)" }, "parent_node_id": "node_2341", "improvement_over_parent": null }, "node_2343": { "node_id": "node_2343", "content": "MODIFICATION: Increase 8 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 188.85 kg\n Factor of Safety: 1.37\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.84841469927338, "fos_buckling": 1.3663119074364354, "fos_yielding": 3.5134687063921644, "deflection": 0.0017109732275802229, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.587)" }, "parent_node_id": "node_2342", "improvement_over_parent": null }, "node_2344": { "node_id": "node_2344", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.24 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.23614156808105, "fos_buckling": 1.5681176783852846, "fos_yielding": 4.150696337199985, "deflection": 0.0014505513835925867, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.200)" }, "parent_node_id": "node_2343", "improvement_over_parent": null }, "node_2345": { "node_id": "node_2345", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2344", "improvement_over_parent": null }, "node_2346": { "node_id": "node_2346", "content": "INITIAL DESIGN (Trace 339)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2347": { "node_id": "node_2347", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n\nPerformance:\n Mass: 123.03 kg\n Factor of Safety: 0.15\n Max Deflection: 1.28e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.02803137175543, "fos_buckling": 0.15467818295398034, "fos_yielding": 1.8259764490236674, "deflection": 12804023880626.676, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001797)" }, "parent_node_id": "node_2346", "improvement_over_parent": null }, "node_2348": { "node_id": "node_2348", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 135.77 kg\n Factor of Safety: 0.20\n Max Deflection: 2.51e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.76511123928822, "fos_buckling": 0.20360392397369123, "fos_yielding": 2.8833811958102666, "deflection": 2514115073761.3027, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.111)" }, "parent_node_id": "node_2347", "improvement_over_parent": null }, "node_2349": { "node_id": "node_2349", "content": "MODIFICATION: Increase 1 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 139.85 kg\n Factor of Safety: 0.20\n Max Deflection: 4.22e+12 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.84887688503028, "fos_buckling": 0.20360392397369123, "fos_yielding": 2.885544122966729, "deflection": 4221653461036.2495, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.445)" }, "parent_node_id": "node_2348", "improvement_over_parent": null }, "node_2350": { "node_id": "node_2350", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n\nPerformance:\n Mass: 142.67 kg\n Factor of Safety: 0.05\n Max Deflection: 7.67e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.67363463956704, "fos_buckling": 0.04988039806987972, "fos_yielding": 1.1759887012048915, "deflection": 0.007668177222525075, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001534)" }, "parent_node_id": "node_2349", "improvement_over_parent": null }, "node_2351": { "node_id": "node_2351", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 179.58 kg\n Factor of Safety: 0.06\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.58356508924356, "fos_buckling": 0.06038117677551917, "fos_yielding": 1.4763247496066403, "deflection": 0.0061048049485275206, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.284)" }, "parent_node_id": "node_2350", "improvement_over_parent": null }, "node_2352": { "node_id": "node_2352", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.19 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.19461933200427, "fos_buckling": 1.5676244748721253, "fos_yielding": 4.149982537452544, "deflection": 0.0014508400112253207, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_2351", "improvement_over_parent": null }, "node_2353": { "node_id": "node_2353", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 340)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n\nPerformance:\n Mass: 90.91 kg\n Factor of Safety: 0.07\n Max Deflection: 9.34e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 90.90745573778283, "fos_buckling": 0.07360209158502544, "fos_yielding": 1.139177052645704, "deflection": 0.009336970897457855, "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: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n\nPerformance:\n Mass: 92.78 kg\n Factor of Safety: 0.07\n Max Deflection: 9.33e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 92.78076451797068, "fos_buckling": 0.07358739551098654, "fos_yielding": 1.1389495940239642, "deflection": 0.009333413048598471, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.000993)" }, "parent_node_id": "node_2354", "improvement_over_parent": null }, "node_2356": { "node_id": "node_2356", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n\nPerformance:\n Mass: 107.76 kg\n Factor of Safety: 0.08\n Max Deflection: 8.04e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 107.76078479755475, "fos_buckling": 0.08415988204114283, "fos_yielding": 1.3212374462525478, "deflection": 0.008042384014849501, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.170)" }, "parent_node_id": "node_2355", "improvement_over_parent": null }, "node_2357": { "node_id": "node_2357", "content": "MODIFICATION: Increase 0 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n\nPerformance:\n Mass: 110.50 kg\n Factor of Safety: 0.08\n Max Deflection: 7.88e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 110.4976073823459, "fos_buckling": 0.08413536505038595, "fos_yielding": 1.320852550676749, "deflection": 0.00787569668296563, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.350)" }, "parent_node_id": "node_2356", "improvement_over_parent": null }, "node_2358": { "node_id": "node_2358", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 136.59 kg\n Factor of Safety: 1.03\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": 136.58761173227174, "fos_buckling": 1.0318794196392473, "fos_yielding": 2.543707313640049, "deflection": 0.002357869815617703, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.003366)" }, "parent_node_id": "node_2357", "improvement_over_parent": null }, "node_2359": { "node_id": "node_2359", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0043)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n\nPerformance:\n Mass: 169.91 kg\n Factor of Safety: 1.25\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.9133085793393, "fos_buckling": 1.2487856178511891, "fos_yielding": 3.162455576937233, "deflection": 0.0018994094084863653, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.261)" }, "parent_node_id": "node_2358", "improvement_over_parent": null }, "node_2360": { "node_id": "node_2360", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 193.15 kg\n Factor of Safety: 1.39\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.1530307238698, "fos_buckling": 1.3920489275175398, "fos_yielding": 3.5935044361538675, "deflection": 0.0016733288040784173, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.148)" }, "parent_node_id": "node_2359", "improvement_over_parent": null }, "node_2361": { "node_id": "node_2361", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.22 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.21951194062086, "fos_buckling": 1.5676988473718931, "fos_yielding": 4.150644664630795, "deflection": 0.0014506852053615168, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.171)" }, "parent_node_id": "node_2360", "improvement_over_parent": null }, "node_2362": { "node_id": "node_2362", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2361", "improvement_over_parent": null }, "node_2363": { "node_id": "node_2363", "content": "INITIAL DESIGN (Trace 341)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\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_2364": { "node_id": "node_2364", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n\nPerformance:\n Mass: 179.69 kg\n Factor of Safety: 1.34\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.69339362923424, "fos_buckling": 1.3420408525300238, "fos_yielding": 3.567505456469057, "deflection": 0.0019718130496803052, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002123)" }, "parent_node_id": "node_2363", "improvement_over_parent": null }, "node_2365": { "node_id": "node_2365", "content": "MODIFICATION: Increase 1 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n\nPerformance:\n Mass: 183.75 kg\n Factor of Safety: 1.34\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.74643569965755, "fos_buckling": 1.341465305746616, "fos_yielding": 3.786534329481265, "deflection": 0.0017882380545548547, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.502)" }, "parent_node_id": "node_2364", "improvement_over_parent": null }, "node_2366": { "node_id": "node_2366", "content": "MODIFICATION: Increase 1 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n\nPerformance:\n Mass: 186.94 kg\n Factor of Safety: 1.34\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.93819652325712, "fos_buckling": 1.3410124113783106, "fos_yielding": 3.786534329481265, "deflection": 0.001710598625291653, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.274)" }, "parent_node_id": "node_2365", "improvement_over_parent": null }, "node_2367": { "node_id": "node_2367", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n\nPerformance:\n Mass: 198.26 kg\n Factor of Safety: 1.40\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.26143061829296, "fos_buckling": 1.4002797689441888, "fos_yielding": 3.786534329481267, "deflection": 0.0016272290050492958, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002767)" }, "parent_node_id": "node_2366", "improvement_over_parent": null }, "node_2368": { "node_id": "node_2368", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n\nPerformance:\n Mass: 201.47 kg\n Factor of Safety: 1.44\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.46920670676602, "fos_buckling": 1.4416929619679906, "fos_yielding": 3.747468223817141, "deflection": 0.0016050201748677745, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001760)" }, "parent_node_id": "node_2367", "improvement_over_parent": null }, "node_2369": { "node_id": "node_2369", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.29 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.28507214206962, "fos_buckling": 1.5680326487183318, "fos_yielding": 4.151643237255965, "deflection": 0.0014501949564555724, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.119)" }, "parent_node_id": "node_2368", "improvement_over_parent": null }, "node_2370": { "node_id": "node_2370", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2369", "improvement_over_parent": null }, "node_2371": { "node_id": "node_2371", "content": "INITIAL DESIGN (Trace 342)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0029)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0023)]\n\nPerformance:\n Mass: 133.00 kg\n Factor of Safety: 0.71\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": 133.0018692147342, "fos_buckling": 0.7120958470855219, "fos_yielding": 3.0513682008749385, "deflection": 0.002614847823812039, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2372": { "node_id": "node_2372", "content": "MODIFICATION: Increase 7 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0023)]\n\nPerformance:\n Mass: 141.54 kg\n Factor of Safety: 0.71\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": 141.5368413584687, "fos_buckling": 0.7110596721219484, "fos_yielding": 3.0513682008749385, "deflection": 0.002376082344807051, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.393)" }, "parent_node_id": "node_2371", "improvement_over_parent": null }, "node_2373": { "node_id": "node_2373", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0023)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n\nPerformance:\n Mass: 147.80 kg\n Factor of Safety: 0.67\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": 147.79673106093037, "fos_buckling": 0.6741405706319212, "fos_yielding": 3.036336567690125, "deflection": 0.0023668907492390354, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001816)" }, "parent_node_id": "node_2372", "improvement_over_parent": null }, "node_2374": { "node_id": "node_2374", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 180.01 kg\n Factor of Safety: 0.82\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.00568132341223, "fos_buckling": 0.8153740941843837, "fos_yielding": 3.6919994566781806, "deflection": 0.0019440248600579382, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.235)" }, "parent_node_id": "node_2373", "improvement_over_parent": null }, "node_2375": { "node_id": "node_2375", "content": "MODIFICATION: Increase 5 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 181.47 kg\n Factor of Safety: 0.81\n Max Deflection: 1.93e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.46501612150124, "fos_buckling": 0.8121936155072256, "fos_yielding": 3.6845669445639633, "deflection": 0.0019285135331436791, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.397)" }, "parent_node_id": "node_2374", "improvement_over_parent": null }, "node_2376": { "node_id": "node_2376", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 205.38 kg\n Factor of Safety: 0.90\n Max Deflection: 1.70e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.37712313854976, "fos_buckling": 0.9012247514558739, "fos_yielding": 4.16541115588398, "deflection": 0.0017045271267408285, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_2375", "improvement_over_parent": null }, "node_2377": { "node_id": "node_2377", "content": "MODIFICATION: Increase 10 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0034)]\n\nPerformance:\n Mass: 207.89 kg\n Factor of Safety: 0.90\n Max Deflection: 1.70e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.89094163733242, "fos_buckling": 0.9033209277800857, "fos_yielding": 4.16143753349654, "deflection": 0.0017033790693676018, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.332)" }, "parent_node_id": "node_2376", "improvement_over_parent": null }, "node_2378": { "node_id": "node_2378", "content": "MODIFICATION: Increase 10 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0046)]\n\nPerformance:\n Mass: 211.09 kg\n Factor of Safety: 0.90\n Max Deflection: 1.70e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.09426418420506, "fos_buckling": 0.9049876648559487, "fos_yielding": 4.1574583604766735, "deflection": 0.0017023932344898953, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.346)" }, "parent_node_id": "node_2377", "improvement_over_parent": null }, "node_2379": { "node_id": "node_2379", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2378", "improvement_over_parent": null }, "node_2380": { "node_id": "node_2380", "content": "INITIAL DESIGN (Trace 343)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 170.69 kg\n Factor of Safety: 1.22\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.68606954243594, "fos_buckling": 1.2200921029855325, "fos_yielding": 3.341796990117894, "deflection": 0.0019672288425487245, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2381": { "node_id": "node_2381", "content": "MODIFICATION: Increase 0 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 172.79 kg\n Factor of Safety: 1.23\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.7938289881972, "fos_buckling": 1.2273538389588217, "fos_yielding": 3.3474511348447593, "deflection": 0.0019065062470992379, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.186)" }, "parent_node_id": "node_2380", "improvement_over_parent": null }, "node_2382": { "node_id": "node_2382", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 177.69 kg\n Factor of Safety: 1.30\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.69099435275442, "fos_buckling": 1.2975464270116268, "fos_yielding": 3.3067390454408487, "deflection": 0.0018171721446994164, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002002)" }, "parent_node_id": "node_2381", "improvement_over_parent": null }, "node_2383": { "node_id": "node_2383", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.33 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.33209258992886, "fos_buckling": 1.5684269720256252, "fos_yielding": 4.1527097435322196, "deflection": 0.001449971735097674, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.282)" }, "parent_node_id": "node_2382", "improvement_over_parent": null }, "node_2384": { "node_id": "node_2384", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2383", "improvement_over_parent": null }, "node_2385": { "node_id": "node_2385", "content": "INITIAL DESIGN (Trace 344)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 149.43 kg\n Factor of Safety: 0.03\n Max Deflection: 1.88e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.42566862293373, "fos_buckling": 0.03218414693986982, "fos_yielding": 0.540633974214425, "deflection": 18789617847876.22, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2386": { "node_id": "node_2386", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 158.04 kg\n Factor of Safety: 0.03\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.0387732376944, "fos_buckling": 0.03207677999061903, "fos_yielding": 0.7176451001309582, "deflection": 0.012056212313587921, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_2385", "improvement_over_parent": null }, "node_2387": { "node_id": "node_2387", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 201.65 kg\n Factor of Safety: 1.16\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.6498274804551, "fos_buckling": 1.1611929216682433, "fos_yielding": 2.8885701527422705, "deflection": 0.0015198212292093609, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_2386", "improvement_over_parent": null }, "node_2388": { "node_id": "node_2388", "content": "MODIFICATION: Increase 4 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 212.79 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.78919847280847, "fos_buckling": 1.4822351500809516, "fos_yielding": 4.201872931689211, "deflection": 0.0015202151656967908, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.511)" }, "parent_node_id": "node_2387", "improvement_over_parent": null }, "node_2389": { "node_id": "node_2389", "content": "MODIFICATION: Increase 2 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 213.49 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.49331560784674, "fos_buckling": 1.4827673325548554, "fos_yielding": 4.202225581373273, "deflection": 0.0015203216160018676, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.433)" }, "parent_node_id": "node_2388", "improvement_over_parent": null }, "node_2390": { "node_id": "node_2390", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 219.65 kg\n Factor of Safety: 1.38\n Max Deflection: 1.46e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 219.64713034614456, "fos_buckling": 1.3829065717825597, "fos_yielding": 4.156401296545532, "deflection": 0.0014563996379016637, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_2389", "improvement_over_parent": null }, "node_2391": { "node_id": "node_2391", "content": "MODIFICATION: Increase 2 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 220.77 kg\n Factor of Safety: 1.56\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 220.7724200510077, "fos_buckling": 1.5577953378721725, "fos_yielding": 4.151452373088586, "deflection": 0.0014542456328701888, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.508)" }, "parent_node_id": "node_2390", "improvement_over_parent": null }, "node_2392": { "node_id": "node_2392", "content": "MODIFICATION: Increase 9 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0074)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 231.34 kg\n Factor of Safety: 1.56\n Max Deflection: 1.37e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 231.33775699208442, "fos_buckling": 1.561248025006452, "fos_yielding": 4.172135216513132, "deflection": 0.0013745069662467412, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.274)" }, "parent_node_id": "node_2391", "improvement_over_parent": null }, "node_2393": { "node_id": "node_2393", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2392", "improvement_over_parent": null }, "node_2394": { "node_id": "node_2394", "content": "INITIAL DESIGN (Trace 345)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 171.18 kg\n Factor of Safety: 1.27\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.18245432940287, "fos_buckling": 1.2728030228072065, "fos_yielding": 3.5558551781650274, "deflection": 0.0018157592077329204, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2395": { "node_id": "node_2395", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 178.48 kg\n Factor of Safety: 1.18\n Max Deflection: 1.76e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.47667814613226, "fos_buckling": 1.1799515914529144, "fos_yielding": 3.5073638514985896, "deflection": 0.0017620490725111294, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002140)" }, "parent_node_id": "node_2394", "improvement_over_parent": null }, "node_2396": { "node_id": "node_2396", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n\nPerformance:\n Mass: 189.11 kg\n Factor of Safety: 1.37\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.10730956596655, "fos_buckling": 1.3676671598570431, "fos_yielding": 3.518457263489853, "deflection": 0.0017087017496382152, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002584)" }, "parent_node_id": "node_2395", "improvement_over_parent": null }, "node_2397": { "node_id": "node_2397", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.37 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.36745489078885, "fos_buckling": 1.5686280871493998, "fos_yielding": 4.153346457475716, "deflection": 0.0014497463738693068, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.199)" }, "parent_node_id": "node_2396", "improvement_over_parent": null }, "node_2398": { "node_id": "node_2398", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2397", "improvement_over_parent": null }, "node_2399": { "node_id": "node_2399", "content": "INITIAL DESIGN (Trace 346)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 155.50 kg\n Factor of Safety: 1.02\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.4959191553442, "fos_buckling": 1.018941634490609, "fos_yielding": 2.9536691789412557, "deflection": 0.0020899587098216627, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2400": { "node_id": "node_2400", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 187.29 kg\n Factor of Safety: 1.18\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.2861406084249, "fos_buckling": 1.1808057845625035, "fos_yielding": 3.555369921913432, "deflection": 0.001739037353904883, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.221)" }, "parent_node_id": "node_2399", "improvement_over_parent": null }, "node_2401": { "node_id": "node_2401", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 218.14 kg\n Factor of Safety: 1.32\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.14457944198458, "fos_buckling": 1.3241900250477188, "fos_yielding": 4.138736338983786, "deflection": 0.0014962283617843686, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_2400", "improvement_over_parent": null }, "node_2402": { "node_id": "node_2402", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 223.32 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.31892231871325, "fos_buckling": 1.5683511547570512, "fos_yielding": 4.152480589878786, "deflection": 0.0014500479723645648, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_2401", "improvement_over_parent": null }, "node_2403": { "node_id": "node_2403", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2402", "improvement_over_parent": null }, "node_2404": { "node_id": "node_2404", "content": "INITIAL DESIGN (Trace 347)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 183.12 kg\n Factor of Safety: 1.17\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.11862483214048, "fos_buckling": 1.1702771156841871, "fos_yielding": 2.9172988172787684, "deflection": 0.0016602129890728532, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2405": { "node_id": "node_2405", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 190.73 kg\n Factor of Safety: 1.17\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.73330102369414, "fos_buckling": 1.166837528793646, "fos_yielding": 2.9087245209576476, "deflection": 0.0016556160747233668, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002242)" }, "parent_node_id": "node_2404", "improvement_over_parent": null }, "node_2406": { "node_id": "node_2406", "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 197.36 kg\n Factor of Safety: 1.42\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.35969089839725, "fos_buckling": 1.4174129327834173, "fos_yielding": 3.6707328380751014, "deflection": 0.0016380636363170153, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.295)" }, "parent_node_id": "node_2405", "improvement_over_parent": null }, "node_2407": { "node_id": "node_2407", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.23 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.22555495092115, "fos_buckling": 1.5678697607671506, "fos_yielding": 4.1499110890282624, "deflection": 0.0014506177617321276, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_2406", "improvement_over_parent": null }, "node_2408": { "node_id": "node_2408", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2407", "improvement_over_parent": null }, "node_2409": { "node_id": "node_2409", "content": "INITIAL DESIGN (Trace 348)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 138.87 kg\n Factor of Safety: 0.96\n Max Deflection: 2.24e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.8698237535508, "fos_buckling": 0.9579418990738096, "fos_yielding": 2.332434072859403, "deflection": 0.0022368962186549717, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2410": { "node_id": "node_2410", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n\nPerformance:\n Mass: 141.36 kg\n Factor of Safety: 0.96\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": 141.36249764581942, "fos_buckling": 0.9596758134514879, "fos_yielding": 2.336655874805667, "deflection": 0.0022378228156848955, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001342)" }, "parent_node_id": "node_2409", "improvement_over_parent": null }, "node_2411": { "node_id": "node_2411", "content": "MODIFICATION: Increase 4 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n\nPerformance:\n Mass: 145.97 kg\n Factor of Safety: 0.96\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": 145.96932384950657, "fos_buckling": 0.9634812747127683, "fos_yielding": 2.3459215594127802, "deflection": 0.002238489854150119, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.279)" }, "parent_node_id": "node_2410", "improvement_over_parent": null }, "node_2412": { "node_id": "node_2412", "content": "MODIFICATION: Increase 0 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n\nPerformance:\n Mass: 147.96 kg\n Factor of Safety: 0.97\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": 147.95873177772856, "fos_buckling": 0.9652951193725745, "fos_yielding": 2.350337978708665, "deflection": 0.002162335186065412, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.200)" }, "parent_node_id": "node_2411", "improvement_over_parent": null }, "node_2413": { "node_id": "node_2413", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n\nPerformance:\n Mass: 173.15 kg\n Factor of Safety: 1.11\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.1516935780527, "fos_buckling": 1.1134586222357998, "fos_yielding": 2.7552693445793768, "deflection": 0.0018504261382178634, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.183)" }, "parent_node_id": "node_2412", "improvement_over_parent": null }, "node_2414": { "node_id": "node_2414", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 178.20 kg\n Factor of Safety: 1.10\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.19870647356484, "fos_buckling": 1.1022182202301398, "fos_yielding": 2.727454808458802, "deflection": 0.0017789809629748076, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002068)" }, "parent_node_id": "node_2413", "improvement_over_parent": null }, "node_2415": { "node_id": "node_2415", "content": "MODIFICATION: Increase 6 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 179.65 kg\n Factor of Safety: 1.10\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.64787344633882, "fos_buckling": 1.1018689730311761, "fos_yielding": 2.726590591251473, "deflection": 0.001778632348645748, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.225)" }, "parent_node_id": "node_2414", "improvement_over_parent": null }, "node_2416": { "node_id": "node_2416", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0060)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 219.12 kg\n Factor of Safety: 1.31\n Max Deflection: 1.46e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 219.1166430314167, "fos_buckling": 1.3145941186870433, "fos_yielding": 3.335715781046977, "deflection": 0.0014619494497313593, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.241)" }, "parent_node_id": "node_2415", "improvement_over_parent": null }, "node_2417": { "node_id": "node_2417", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 349)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 127.15 kg\n Factor of Safety: 0.05\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.15194582070235, "fos_buckling": 0.04658169096465422, "fos_yielding": 1.0865457118751665, "deflection": 0.013428061139736791, "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 all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 145.19 kg\n Factor of Safety: 0.05\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.1864419151024, "fos_buckling": 0.05217506324935232, "fos_yielding": 1.2391747616484832, "deflection": 0.011767574661078067, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.153)" }, "parent_node_id": "node_2418", "improvement_over_parent": null }, "node_2420": { "node_id": "node_2420", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 173.48 kg\n Factor of Safety: 0.06\n Max Deflection: 9.86e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.47673789096342, "fos_buckling": 0.06044778900730558, "fos_yielding": 1.477867980263783, "deflection": 0.009858378351741017, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.214)" }, "parent_node_id": "node_2419", "improvement_over_parent": null }, "node_2421": { "node_id": "node_2421", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 179.63 kg\n Factor of Safety: 0.06\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.63055262926125, "fos_buckling": 0.06036898582364264, "fos_yielding": 1.4759413473167244, "deflection": 0.006103490620346472, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_2420", "improvement_over_parent": null }, "node_2422": { "node_id": "node_2422", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.24 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.24160687202195, "fos_buckling": 1.567871387835768, "fos_yielding": 4.1508735047969365, "deflection": 0.0014505315668823112, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_2421", "improvement_over_parent": null }, "node_2423": { "node_id": "node_2423", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2422", "improvement_over_parent": null }, "node_2424": { "node_id": "node_2424", "content": "INITIAL DESIGN (Trace 350)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 166.61 kg\n Factor of Safety: 0.92\n Max Deflection: 1.89e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.61489473102955, "fos_buckling": 0.92082281631308, "fos_yielding": 2.6591277218157092, "deflection": 0.0018868632715638278, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2425": { "node_id": "node_2425", "content": "MODIFICATION: Increase 2 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 167.65 kg\n Factor of Safety: 0.95\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.6462753480912, "fos_buckling": 0.9508812173739604, "fos_yielding": 2.6602217647894832, "deflection": 0.0018829157397984393, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.629)" }, "parent_node_id": "node_2424", "improvement_over_parent": null }, "node_2426": { "node_id": "node_2426", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 214.22 kg\n Factor of Safety: 1.19\n Max Deflection: 1.48e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.22101122586258, "fos_buckling": 1.1893288605180263, "fos_yielding": 3.415834979260247, "deflection": 0.0014783508699388033, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.304)" }, "parent_node_id": "node_2425", "improvement_over_parent": null }, "node_2427": { "node_id": "node_2427", "content": "MODIFICATION: Increase 6 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.40 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.3986704294037, "fos_buckling": 1.5687817065092682, "fos_yielding": 4.153682387546671, "deflection": 0.0014496020421111751, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.473)" }, "parent_node_id": "node_2426", "improvement_over_parent": null }, "node_2428": { "node_id": "node_2428", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2427", "improvement_over_parent": null }, "node_2429": { "node_id": "node_2429", "content": "INITIAL DESIGN (Trace 351)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2430": { "node_id": "node_2430", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 171.99 kg\n Factor of Safety: 1.11\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.98710941341594, "fos_buckling": 1.1109319463117564, "fos_yielding": 3.1667246830121765, "deflection": 0.0018470148934917102, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002022)" }, "parent_node_id": "node_2429", "improvement_over_parent": null }, "node_2431": { "node_id": "node_2431", "content": "MODIFICATION: Increase 5 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 176.51 kg\n Factor of Safety: 1.27\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.51473561585834, "fos_buckling": 1.270618407055588, "fos_yielding": 3.3719153620993194, "deflection": 0.001825214098983982, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.244)" }, "parent_node_id": "node_2430", "improvement_over_parent": null }, "node_2432": { "node_id": "node_2432", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n\nPerformance:\n Mass: 179.37 kg\n Factor of Safety: 1.31\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.37031124399564, "fos_buckling": 1.3079455732476408, "fos_yielding": 3.3375438894751395, "deflection": 0.0018004712579975854, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001552)" }, "parent_node_id": "node_2431", "improvement_over_parent": null }, "node_2433": { "node_id": "node_2433", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.32 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.3161426620692, "fos_buckling": 1.5683263168012935, "fos_yielding": 4.151993338145786, "deflection": 0.001450169036904528, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.269)" }, "parent_node_id": "node_2432", "improvement_over_parent": null }, "node_2434": { "node_id": "node_2434", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2433", "improvement_over_parent": null }, "node_2435": { "node_id": "node_2435", "content": "INITIAL DESIGN (Trace 352)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 156.96 kg\n Factor of Safety: 1.19\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": 156.9616223861956, "fos_buckling": 1.1946876354769131, "fos_yielding": 3.289047812589064, "deflection": 0.0020634549358952473, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2436": { "node_id": "node_2436", "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 160.63 kg\n Factor of Safety: 1.19\n Max Deflection: 1.93e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.63127529960957, "fos_buckling": 1.194222714460581, "fos_yielding": 3.288282566344099, "deflection": 0.0019323594098759412, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.389)" }, "parent_node_id": "node_2435", "improvement_over_parent": null }, "node_2437": { "node_id": "node_2437", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 204.53 kg\n Factor of Safety: 1.46\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.53047468460304, "fos_buckling": 1.4593257330068892, "fos_yielding": 4.181751713583697, "deflection": 0.0015209204332748835, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.300)" }, "parent_node_id": "node_2436", "improvement_over_parent": null }, "node_2438": { "node_id": "node_2438", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 217.08 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.0788323046993, "fos_buckling": 1.4842908154737748, "fos_yielding": 4.201246732525901, "deflection": 0.0015206371312021145, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_2437", "improvement_over_parent": null }, "node_2439": { "node_id": "node_2439", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.23 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.23264704299712, "fos_buckling": 1.5677654484163448, "fos_yielding": 4.150641736435988, "deflection": 0.0014505719007007645, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_2438", "improvement_over_parent": null }, "node_2440": { "node_id": "node_2440", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2439", "improvement_over_parent": null }, "node_2441": { "node_id": "node_2441", "content": "INITIAL DESIGN (Trace 353)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 156.84 kg\n Factor of Safety: 1.04\n Max Deflection: 1.93e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.836862258195, "fos_buckling": 1.0389159057021327, "fos_yielding": 2.9357701736712003, "deflection": 0.0019251350068238172, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2442": { "node_id": "node_2442", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 178.77 kg\n Factor of Safety: 1.17\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.76853146024357, "fos_buckling": 1.1687094634933455, "fos_yielding": 3.3509321977354296, "deflection": 0.0016921143756589983, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.151)" }, "parent_node_id": "node_2441", "improvement_over_parent": null }, "node_2443": { "node_id": "node_2443", "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 184.68 kg\n Factor of Safety: 1.38\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.67512654885624, "fos_buckling": 1.3772368267680053, "fos_yielding": 3.7083664476232547, "deflection": 0.001671609083639548, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.305)" }, "parent_node_id": "node_2442", "improvement_over_parent": null }, "node_2444": { "node_id": "node_2444", "content": "MODIFICATION: Increase 2 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 185.84 kg\n Factor of Safety: 1.38\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.83855412020074, "fos_buckling": 1.377067340670829, "fos_yielding": 3.708092249298521, "deflection": 0.0016718061499493826, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.637)" }, "parent_node_id": "node_2443", "improvement_over_parent": null }, "node_2445": { "node_id": "node_2445", "content": "MODIFICATION: Increase 8 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 189.62 kg\n Factor of Safety: 1.38\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.61803744522697, "fos_buckling": 1.3765170398939721, "fos_yielding": 3.708092249298521, "deflection": 0.001661406596879869, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.560)" }, "parent_node_id": "node_2444", "improvement_over_parent": null }, "node_2446": { "node_id": "node_2446", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 214.64 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 214.64165073567034, "fos_buckling": 1.5231767719609879, "fos_yielding": 4.196245583948732, "deflection": 0.0014702152757918034, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.145)" }, "parent_node_id": "node_2445", "improvement_over_parent": null }, "node_2447": { "node_id": "node_2447", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 221.94 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 221.93587455239972, "fos_buckling": 1.5689425785616378, "fos_yielding": 4.154684005936005, "deflection": 0.0014519097077688315, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002140)" }, "parent_node_id": "node_2446", "improvement_over_parent": null }, "node_2448": { "node_id": "node_2448", "content": "MODIFICATION: Increase 8 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0037)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 224.16 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 224.16098774336567, "fos_buckling": 1.5704918978901965, "fos_yielding": 4.155377039605042, "deflection": 0.0014491925896024341, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.199)" }, "parent_node_id": "node_2447", "improvement_over_parent": null }, "node_2449": { "node_id": "node_2449", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2448", "improvement_over_parent": null }, "node_2450": { "node_id": "node_2450", "content": "INITIAL DESIGN (Trace 354)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0019)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0012)]\n\nPerformance:\n Mass: 107.33 kg\n Factor of Safety: 0.04\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 107.33387842594743, "fos_buckling": 0.04198855625443384, "fos_yielding": 0.7878642944747388, "deflection": 0.01655128500639149, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2451": { "node_id": "node_2451", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0019)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0012)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 135.25 kg\n Factor of Safety: 1.05\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": 135.25405582078895, "fos_buckling": 1.045669573729624, "fos_yielding": 2.7646195523428987, "deflection": 0.002500495429203418, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.003616)" }, "parent_node_id": "node_2450", "improvement_over_parent": null }, "node_2452": { "node_id": "node_2452", "content": "MODIFICATION: Increase 1 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0012)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 138.76 kg\n Factor of Safety: 1.03\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": 138.76364034544252, "fos_buckling": 1.033886628310989, "fos_yielding": 2.7537113589868314, "deflection": 0.002314955435938716, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.466)" }, "parent_node_id": "node_2451", "improvement_over_parent": null }, "node_2453": { "node_id": "node_2453", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 178.32 kg\n Factor of Safety: 1.28\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.31502822090135, "fos_buckling": 1.2838540166046146, "fos_yielding": 3.534571789226331, "deflection": 0.0018054005982971627, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.307)" }, "parent_node_id": "node_2452", "improvement_over_parent": null }, "node_2454": { "node_id": "node_2454", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 211.82 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.82302408630233, "fos_buckling": 1.480285286228584, "fos_yielding": 4.194657085259865, "deflection": 0.0015226273245101617, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.206)" }, "parent_node_id": "node_2453", "improvement_over_parent": null }, "node_2455": { "node_id": "node_2455", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 217.98 kg\n Factor of Safety: 1.48\n Max Deflection: 1.46e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.97683882460015, "fos_buckling": 1.4840672665023447, "fos_yielding": 4.146287750610111, "deflection": 0.0014611087166402205, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_2454", "improvement_over_parent": null }, "node_2456": { "node_id": "node_2456", "content": "MODIFICATION: Increase 9 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0090)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 238.97 kg\n Factor of Safety: 1.30\n Max Deflection: 1.33e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 238.96784851621354, "fos_buckling": 1.3036806357446011, "fos_yielding": 4.140494721955554, "deflection": 0.0013271008464129435, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.575)" }, "parent_node_id": "node_2455", "improvement_over_parent": null }, "node_2457": { "node_id": "node_2457", "content": "MODIFICATION: Increase 2 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0090)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 239.64 kg\n Factor of Safety: 1.47\n Max Deflection: 1.33e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 239.63919728748832, "fos_buckling": 1.4664930274390662, "fos_yielding": 4.137458278882375, "deflection": 0.0013256730148619516, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.256)" }, "parent_node_id": "node_2456", "improvement_over_parent": null }, "node_2458": { "node_id": "node_2458", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2457", "improvement_over_parent": null }, "node_2459": { "node_id": "node_2459", "content": "INITIAL DESIGN (Trace 355)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 104.83 kg\n Factor of Safety: 0.16\n Max Deflection: 9.82e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 104.83103579370527, "fos_buckling": 0.1610645319734413, "fos_yielding": 2.413930127003387, "deflection": 9818723993411.035, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2460": { "node_id": "node_2460", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 120.84 kg\n Factor of Safety: 0.04\n Max Deflection: 4.78e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.83661158594293, "fos_buckling": 0.038543129265114426, "fos_yielding": 0.540633974214425, "deflection": 47804893598198.02, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.163)" }, "parent_node_id": "node_2459", "improvement_over_parent": null }, "node_2461": { "node_id": "node_2461", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n\nPerformance:\n Mass: 130.10 kg\n Factor of Safety: 0.02\n Max Deflection: 2.38e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.10483020060263, "fos_buckling": 0.022822326055232846, "fos_yielding": 0.6407821872987547, "deflection": 23816071496079.73, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002230)" }, "parent_node_id": "node_2460", "improvement_over_parent": null }, "node_2462": { "node_id": "node_2462", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n\nPerformance:\n Mass: 162.31 kg\n Factor of Safety: 1.18\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.31255022697553, "fos_buckling": 1.1826163164232237, "fos_yielding": 3.1018085050351107, "deflection": 0.001982930100236663, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004157)" }, "parent_node_id": "node_2461", "improvement_over_parent": null }, "node_2463": { "node_id": "node_2463", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n\nPerformance:\n Mass: 185.91 kg\n Factor of Safety: 1.33\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.9123471558205, "fos_buckling": 1.3270967403736664, "fos_yielding": 3.5517405250536354, "deflection": 0.0017339982689874834, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.157)" }, "parent_node_id": "node_2462", "improvement_over_parent": null }, "node_2464": { "node_id": "node_2464", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n\nPerformance:\n Mass: 188.92 kg\n Factor of Safety: 1.37\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.91950649354277, "fos_buckling": 1.3666212668058015, "fos_yielding": 3.5153122067602074, "deflection": 0.0017103965152246178, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001641)" }, "parent_node_id": "node_2463", "improvement_over_parent": null }, "node_2465": { "node_id": "node_2465", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.32 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.3186771503582, "fos_buckling": 1.5684538789449018, "fos_yielding": 4.15283484035575, "deflection": 0.0014500722039310183, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.200)" }, "parent_node_id": "node_2464", "improvement_over_parent": null }, "node_2466": { "node_id": "node_2466", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2465", "improvement_over_parent": null }, "node_2467": { "node_id": "node_2467", "content": "INITIAL DESIGN (Trace 356)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 169.91 kg\n Factor of Safety: 1.16\n Max Deflection: 1.93e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.9096364348586, "fos_buckling": 1.1597377061631584, "fos_yielding": 3.4142292492361084, "deflection": 0.0019322447693085718, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2468": { "node_id": "node_2468", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n\nPerformance:\n Mass: 180.25 kg\n Factor of Safety: 1.18\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.25411140889233, "fos_buckling": 1.1776589909032178, "fos_yielding": 3.428407902740328, "deflection": 0.0018494495869062948, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002509)" }, "parent_node_id": "node_2467", "improvement_over_parent": null }, "node_2469": { "node_id": "node_2469", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 218.89 kg\n Factor of Safety: 1.38\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.89012044624786, "fos_buckling": 1.3793850595658672, "fos_yielding": 4.159054715210883, "deflection": 0.0015257075242470217, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.235)" }, "parent_node_id": "node_2468", "improvement_over_parent": null }, "node_2470": { "node_id": "node_2470", "content": "MODIFICATION: Increase 1 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.43 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.4300179099855, "fos_buckling": 1.5691260265644833, "fos_yielding": 4.154773578951025, "deflection": 0.0014494160422703448, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.383)" }, "parent_node_id": "node_2469", "improvement_over_parent": null }, "node_2471": { "node_id": "node_2471", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2470", "improvement_over_parent": null }, "node_2472": { "node_id": "node_2472", "content": "INITIAL DESIGN (Trace 357)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 170.42 kg\n Factor of Safety: 1.23\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.41568932973436, "fos_buckling": 1.231222409586533, "fos_yielding": 3.23438511853116, "deflection": 0.0018729689996204108, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2473": { "node_id": "node_2473", "content": "MODIFICATION: Increase 5 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 171.64 kg\n Factor of Safety: 1.27\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.64211857395313, "fos_buckling": 1.2713508436965029, "fos_yielding": 3.2312428095101255, "deflection": 0.0018652517664448952, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.370)" }, "parent_node_id": "node_2472", "improvement_over_parent": null }, "node_2474": { "node_id": "node_2474", "content": "MODIFICATION: Increase 8 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 173.37 kg\n Factor of Safety: 1.27\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.36605085668512, "fos_buckling": 1.270571518344017, "fos_yielding": 3.226530503215309, "deflection": 0.0018619842741248846, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.372)" }, "parent_node_id": "node_2473", "improvement_over_parent": null }, "node_2475": { "node_id": "node_2475", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 196.56 kg\n Factor of Safety: 1.41\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.55810182018556, "fos_buckling": 1.4125806784845334, "fos_yielding": 3.6566439211641155, "deflection": 0.0016446917279444651, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.145)" }, "parent_node_id": "node_2474", "improvement_over_parent": null }, "node_2476": { "node_id": "node_2476", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.21 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.21443065115182, "fos_buckling": 1.567763699910647, "fos_yielding": 4.15056477215974, "deflection": 0.0014507158244799526, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.149)" }, "parent_node_id": "node_2475", "improvement_over_parent": null }, "node_2477": { "node_id": "node_2477", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2476", "improvement_over_parent": null }, "node_2478": { "node_id": "node_2478", "content": "INITIAL DESIGN (Trace 358)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0027)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n\nPerformance:\n Mass: 103.00 kg\n Factor of Safety: 0.75\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": 103.00087096976378, "fos_buckling": 0.7450073523141124, "fos_yielding": 2.027038590573828, "deflection": 0.0030372806388246996, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2479": { "node_id": "node_2479", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 132.95 kg\n Factor of Safety: 0.93\n Max Deflection: 2.36e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.95159134882206, "fos_buckling": 0.9282409208187461, "fos_yielding": 2.6149705061229946, "deflection": 0.0023579610770406334, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.307)" }, "parent_node_id": "node_2478", "improvement_over_parent": null }, "node_2480": { "node_id": "node_2480", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 147.58 kg\n Factor of Safety: 1.01\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": 147.5774584544025, "fos_buckling": 1.0125599689182467, "fos_yielding": 2.9018321832730196, "deflection": 0.002126429973604298, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.117)" }, "parent_node_id": "node_2479", "improvement_over_parent": null }, "node_2481": { "node_id": "node_2481", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 170.09 kg\n Factor of Safety: 1.14\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.08621748944964, "fos_buckling": 1.135878063265091, "fos_yielding": 3.342991384182582, "deflection": 0.0018479052914343662, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.164)" }, "parent_node_id": "node_2480", "improvement_over_parent": null }, "node_2482": { "node_id": "node_2482", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n\nPerformance:\n Mass: 180.22 kg\n Factor of Safety: 1.31\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.21999346440327, "fos_buckling": 1.3132033474105054, "fos_yielding": 3.353563574069226, "deflection": 0.0017919895417895834, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002454)" }, "parent_node_id": "node_2481", "improvement_over_parent": null }, "node_2483": { "node_id": "node_2483", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.06 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.0645489356455, "fos_buckling": 1.5668992862817235, "fos_yielding": 4.1476494654003675, "deflection": 0.0014517112566705978, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.261)" }, "parent_node_id": "node_2482", "improvement_over_parent": null }, "node_2484": { "node_id": "node_2484", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2483", "improvement_over_parent": null }, "node_2485": { "node_id": "node_2485", "content": "INITIAL DESIGN (Trace 359)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 140.44 kg\n Factor of Safety: 0.06\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.4436732626906, "fos_buckling": 0.055544838325168495, "fos_yielding": 1.334133083894096, "deflection": 0.011208272117588108, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2486": { "node_id": "node_2486", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n\nPerformance:\n Mass: 145.98 kg\n Factor of Safety: 0.06\n Max Deflection: 6.86e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.98483157153396, "fos_buckling": 0.05547948654817119, "fos_yielding": 1.3325633976655942, "deflection": 0.006864900424502507, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002288)" }, "parent_node_id": "node_2485", "improvement_over_parent": null }, "node_2487": { "node_id": "node_2487", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 162.20 kg\n Factor of Safety: 0.06\n Max Deflection: 6.19e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.1969904150356, "fos_buckling": 0.06043595117125375, "fos_yielding": 1.477572473450256, "deflection": 0.006188772831068214, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.121)" }, "parent_node_id": "node_2486", "improvement_over_parent": null }, "node_2488": { "node_id": "node_2488", "content": "MODIFICATION: Increase 6 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 164.59 kg\n Factor of Safety: 0.06\n Max Deflection: 5.67e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.59269807935263, "fos_buckling": 0.06042060155886204, "fos_yielding": 1.4771971974049787, "deflection": 0.005665796072107968, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.316)" }, "parent_node_id": "node_2487", "improvement_over_parent": null }, "node_2489": { "node_id": "node_2489", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 208.20 kg\n Factor of Safety: 0.84\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.20375232211333, "fos_buckling": 0.8393122170070522, "fos_yielding": 3.755086770520277, "deflection": 0.001669558943906926, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_2488", "improvement_over_parent": null }, "node_2490": { "node_id": "node_2490", "content": "MODIFICATION: Increase 0 thickness by 67%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 214.99 kg\n Factor of Safety: 1.29\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.99165953606834, "fos_buckling": 1.2868570048797376, "fos_yielding": 3.7453837041957554, "deflection": 0.001531563515663526, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.667)" }, "parent_node_id": "node_2489", "improvement_over_parent": null }, "node_2491": { "node_id": "node_2491", "content": "MODIFICATION: Increase 1 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 218.85 kg\n Factor of Safety: 1.30\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.84614959181985, "fos_buckling": 1.2957148388340178, "fos_yielding": 3.771164336248136, "deflection": 0.0014674114251689784, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.309)" }, "parent_node_id": "node_2490", "improvement_over_parent": null }, "node_2492": { "node_id": "node_2492", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2491", "improvement_over_parent": null }, "node_2493": { "node_id": "node_2493", "content": "INITIAL DESIGN (Trace 360)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 196.68 kg\n Factor of Safety: 1.35\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.6826033903322, "fos_buckling": 1.348928451461179, "fos_yielding": 3.9428001194004754, "deflection": 0.0015203100118812074, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2494": { "node_id": "node_2494", "content": "MODIFICATION: Increase 3 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 197.40 kg\n Factor of Safety: 1.35\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.39763184777948, "fos_buckling": 1.3488457100611002, "fos_yielding": 3.9425582735103126, "deflection": 0.0015204254972635948, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.242)" }, "parent_node_id": "node_2493", "improvement_over_parent": null }, "node_2495": { "node_id": "node_2495", "content": "MODIFICATION: Increase 5 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 203.44 kg\n Factor of Safety: 1.47\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.43802606571217, "fos_buckling": 1.4734945855407928, "fos_yielding": 4.19645566016795, "deflection": 0.0015204254972635948, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.272)" }, "parent_node_id": "node_2494", "improvement_over_parent": null }, "node_2496": { "node_id": "node_2496", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 212.05 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.05113068047282, "fos_buckling": 1.4816926677443631, "fos_yielding": 4.1999251448446735, "deflection": 0.0015203325127987623, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_2495", "improvement_over_parent": null }, "node_2497": { "node_id": "node_2497", "content": "MODIFICATION: Increase 3 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 213.35 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.34960398336727, "fos_buckling": 1.4823318094679296, "fos_yielding": 4.200635150889192, "deflection": 0.0015205326963029335, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.368)" }, "parent_node_id": "node_2496", "improvement_over_parent": null }, "node_2498": { "node_id": "node_2498", "content": "MODIFICATION: Increase 8 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0084)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 230.58 kg\n Factor of Safety: 1.54\n Max Deflection: 1.38e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 230.57579245745094, "fos_buckling": 1.5377222335489986, "fos_yielding": 4.181012347469707, "deflection": 0.0013830292844068922, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.466)" }, "parent_node_id": "node_2497", "improvement_over_parent": null }, "node_2499": { "node_id": "node_2499", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0084)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 236.73 kg\n Factor of Safety: 1.50\n Max Deflection: 1.34e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 236.72960719574877, "fos_buckling": 1.4980047682422053, "fos_yielding": 4.14409545607967, "deflection": 0.001340876682245844, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_2498", "improvement_over_parent": null }, "node_2500": { "node_id": "node_2500", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2499", "improvement_over_parent": null }, "node_2501": { "node_id": "node_2501", "content": "INITIAL DESIGN (Trace 361)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n\nPerformance:\n Mass: 179.55 kg\n Factor of Safety: 0.91\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.54965647452948, "fos_buckling": 0.9064992147343643, "fos_yielding": 3.6569618491292255, "deflection": 0.0019827729329723372, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2502": { "node_id": "node_2502", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 203.37 kg\n Factor of Safety: 1.02\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.36752328185418, "fos_buckling": 1.015214959063274, "fos_yielding": 4.137587847525217, "deflection": 0.0017511803528390468, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.145)" }, "parent_node_id": "node_2501", "improvement_over_parent": null }, "node_2503": { "node_id": "node_2503", "content": "MODIFICATION: Increase 9 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 218.07 kg\n Factor of Safety: 1.32\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.07297426349533, "fos_buckling": 1.323859151790269, "fos_yielding": 4.137331119623245, "deflection": 0.0014966996620650725, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.577)" }, "parent_node_id": "node_2502", "improvement_over_parent": null }, "node_2504": { "node_id": "node_2504", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 223.25 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.247317140224, "fos_buckling": 1.5680006551691563, "fos_yielding": 4.151070175161016, "deflection": 0.0014505076336712138, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_2503", "improvement_over_parent": null }, "node_2505": { "node_id": "node_2505", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2504", "improvement_over_parent": null }, "node_2506": { "node_id": "node_2506", "content": "INITIAL DESIGN (Trace 362)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 171.77 kg\n Factor of Safety: 0.06\n Max Deflection: 6.16e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.77494970015115, "fos_buckling": 0.06042510492151917, "fos_yielding": 1.4773445342197125, "deflection": 0.006163051120021188, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2507": { "node_id": "node_2507", "content": "MODIFICATION: Increase 1 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 174.48 kg\n Factor of Safety: 0.06\n Max Deflection: 6.11e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.4778361905546, "fos_buckling": 0.06040779593523043, "fos_yielding": 1.4769213436217024, "deflection": 0.00611243926366298, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.200)" }, "parent_node_id": "node_2506", "improvement_over_parent": null }, "node_2508": { "node_id": "node_2508", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 218.09 kg\n Factor of Safety: 1.32\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.0888904333153, "fos_buckling": 1.324055375031209, "fos_yielding": 4.137606920018234, "deflection": 0.0014965815967865497, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_2507", "improvement_over_parent": null }, "node_2509": { "node_id": "node_2509", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.26323331004397, "fos_buckling": 1.5680002301718, "fos_yielding": 4.151347074028899, "deflection": 0.0014503919219518305, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_2508", "improvement_over_parent": null }, "node_2510": { "node_id": "node_2510", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2509", "improvement_over_parent": null }, "node_2511": { "node_id": "node_2511", "content": "INITIAL DESIGN (Trace 363)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 214.50 kg\n Factor of Safety: 1.36\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.50313151687448, "fos_buckling": 1.359193720692006, "fos_yielding": 4.161510731646006, "deflection": 0.001530053523098922, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2512": { "node_id": "node_2512", "content": "MODIFICATION: Increase 10 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 221.86 kg\n Factor of Safety: 1.33\n Max Deflection: 1.45e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.86451812058326, "fos_buckling": 1.3279479751045133, "fos_yielding": 4.157871442985756, "deflection": 0.001453115697535644, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.229)" }, "parent_node_id": "node_2511", "improvement_over_parent": null }, "node_2513": { "node_id": "node_2513", "content": "MODIFICATION: Increase 2 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 222.55 kg\n Factor of Safety: 1.55\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 222.55241264527172, "fos_buckling": 1.5454298386563456, "fos_yielding": 4.154144929581041, "deflection": 0.0014514877964892587, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.344)" }, "parent_node_id": "node_2512", "improvement_over_parent": null }, "node_2514": { "node_id": "node_2514", "content": "MODIFICATION: Increase 2 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.27 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.2727642135161, "fos_buckling": 1.568374670082341, "fos_yielding": 4.151335646029317, "deflection": 0.0014503138788723511, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.279)" }, "parent_node_id": "node_2513", "improvement_over_parent": null }, "node_2515": { "node_id": "node_2515", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2514", "improvement_over_parent": null }, "node_2516": { "node_id": "node_2516", "content": "INITIAL DESIGN (Trace 364)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 199.04 kg\n Factor of Safety: 0.94\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.04383165174679, "fos_buckling": 0.9441842402136799, "fos_yielding": 4.19645566016795, "deflection": 0.0016802028141912546, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2517": { "node_id": "node_2517", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 207.66 kg\n Factor of Safety: 0.97\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.65693626650744, "fos_buckling": 0.9730505287666796, "fos_yielding": 4.163381885728424, "deflection": 0.0016675580343824235, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_2516", "improvement_over_parent": null }, "node_2518": { "node_id": "node_2518", "content": "MODIFICATION: Increase 1 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 214.01 kg\n Factor of Safety: 1.28\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.01483616732793, "fos_buckling": 1.2780651075247966, "fos_yielding": 4.156933259113794, "deflection": 0.001552360157824978, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.623)" }, "parent_node_id": "node_2517", "improvement_over_parent": null }, "node_2519": { "node_id": "node_2519", "content": "MODIFICATION: Increase 10 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0033)]\n\nPerformance:\n Mass: 216.32 kg\n Factor of Safety: 1.28\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.32282247212746, "fos_buckling": 1.2840468453359293, "fos_yielding": 4.152411816708726, "deflection": 0.0015507933491468694, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.304)" }, "parent_node_id": "node_2518", "improvement_over_parent": null }, "node_2520": { "node_id": "node_2520", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2519", "improvement_over_parent": null }, "node_2521": { "node_id": "node_2521", "content": "INITIAL DESIGN (Trace 365)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0008)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 111.34 kg\n Factor of Safety: 0.09\n Max Deflection: 1.26e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 111.33777651648515, "fos_buckling": 0.08801122974072188, "fos_yielding": 1.617870701479864, "deflection": 12593847068240.473, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2522": { "node_id": "node_2522", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0008)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n\nPerformance:\n Mass: 140.22 kg\n Factor of Safety: 1.08\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": 140.2207006248535, "fos_buckling": 1.0766848629244559, "fos_yielding": 2.7819001853719776, "deflection": 0.0022202665996247945, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003702)" }, "parent_node_id": "node_2521", "improvement_over_parent": null }, "node_2523": { "node_id": "node_2523", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0008)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n\nPerformance:\n Mass: 145.92 kg\n Factor of Safety: 0.85\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": 145.9246179604402, "fos_buckling": 0.8507214804901535, "fos_yielding": 2.760776326044088, "deflection": 0.002202520277485398, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001645)" }, "parent_node_id": "node_2522", "improvement_over_parent": null }, "node_2524": { "node_id": "node_2524", "content": "MODIFICATION: Increase 5 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n\nPerformance:\n Mass: 147.22 kg\n Factor of Safety: 1.10\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": 147.21968453936762, "fos_buckling": 1.0974041719126186, "fos_yielding": 2.755275780009003, "deflection": 0.0021851956873130273, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.639)" }, "parent_node_id": "node_2523", "improvement_over_parent": null }, "node_2525": { "node_id": "node_2525", "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n\nPerformance:\n Mass: 147.87 kg\n Factor of Safety: 1.11\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": 147.87168518382745, "fos_buckling": 1.1069443770017973, "fos_yielding": 2.7534304261371414, "deflection": 0.002179473297230917, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.202)" }, "parent_node_id": "node_2524", "improvement_over_parent": null }, "node_2526": { "node_id": "node_2526", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 174.35 kg\n Factor of Safety: 1.28\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.35194120023414, "fos_buckling": 1.2767668746476952, "fos_yielding": 3.2449650874118707, "deflection": 0.0018515538471994954, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.192)" }, "parent_node_id": "node_2525", "improvement_over_parent": null }, "node_2527": { "node_id": "node_2527", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.12 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.11725096779645, "fos_buckling": 1.5672420778707417, "fos_yielding": 4.148943634748779, "deflection": 0.0014513255552181204, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.307)" }, "parent_node_id": "node_2526", "improvement_over_parent": null }, "node_2528": { "node_id": "node_2528", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2527", "improvement_over_parent": null }, "node_2529": { "node_id": "node_2529", "content": "INITIAL DESIGN (Trace 366)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n\nPerformance:\n Mass: 146.16 kg\n Factor of Safety: 0.11\n Max Deflection: 5.96e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.15643227151335, "fos_buckling": 0.11069395603795532, "fos_yielding": 1.8069689438815004, "deflection": 0.005956779266067156, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2530": { "node_id": "node_2530", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 174.31 kg\n Factor of Safety: 0.13\n Max Deflection: 5.00e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.30670179635246, "fos_buckling": 0.1279803042494074, "fos_yielding": 2.1498708426128292, "deflection": 0.005001557344332229, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.211)" }, "parent_node_id": "node_2529", "improvement_over_parent": null }, "node_2531": { "node_id": "node_2531", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 216.96 kg\n Factor of Safety: 1.00\n Max Deflection: 1.58e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.95867014772585, "fos_buckling": 0.9985685956523715, "fos_yielding": 4.119909457085975, "deflection": 0.0015765735444878664, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_2530", "improvement_over_parent": null }, "node_2532": { "node_id": "node_2532", "content": "MODIFICATION: Increase 0 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.29 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.28574937632806, "fos_buckling": 1.5681067027750926, "fos_yielding": 4.151784436332407, "deflection": 0.0014502238664558071, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.597)" }, "parent_node_id": "node_2531", "improvement_over_parent": null }, "node_2533": { "node_id": "node_2533", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2532", "improvement_over_parent": null }, "node_2534": { "node_id": "node_2534", "content": "INITIAL DESIGN (Trace 367)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 201.00 kg\n Factor of Safety: 1.47\n Max Deflection: 2.40e+11 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.00194476047156, "fos_buckling": 1.466912701158214, "fos_yielding": 4.183390828453448, "deflection": 240151933832.22247, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2535": { "node_id": "node_2535", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 213.55 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.5503023805678, "fos_buckling": 1.4757945493254867, "fos_yielding": 4.1951076006080354, "deflection": 0.001520039535952108, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_2534", "improvement_over_parent": null }, "node_2536": { "node_id": "node_2536", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 219.70 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 219.70411711886564, "fos_buckling": 1.5224256533958693, "fos_yielding": 4.1951076006080354, "deflection": 0.0014706246904364778, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_2535", "improvement_over_parent": null }, "node_2537": { "node_id": "node_2537", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25852445456366, "fos_buckling": 1.568011935702875, "fos_yielding": 4.151342459868712, "deflection": 0.0014504382664267612, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_2536", "improvement_over_parent": null }, "node_2538": { "node_id": "node_2538", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2537", "improvement_over_parent": null }, "node_2539": { "node_id": "node_2539", "content": "INITIAL DESIGN (Trace 368)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 163.57 kg\n Factor of Safety: 0.99\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.56889930733686, "fos_buckling": 0.98892442537257, "fos_yielding": 2.774413909675218, "deflection": 0.0019155734605010386, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2540": { "node_id": "node_2540", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 168.44 kg\n Factor of Safety: 0.84\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.44329592280437, "fos_buckling": 0.8411591641016342, "fos_yielding": 2.737405853010311, "deflection": 0.0018662196489111535, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001992)" }, "parent_node_id": "node_2539", "improvement_over_parent": null }, "node_2541": { "node_id": "node_2541", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 212.94 kg\n Factor of Safety: 1.03\n Max Deflection: 1.48e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.94360395938165, "fos_buckling": 1.0348963196046415, "fos_yielding": 3.475622778248093, "deflection": 0.0014809330731727834, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.289)" }, "parent_node_id": "node_2540", "improvement_over_parent": null }, "node_2542": { "node_id": "node_2542", "content": "MODIFICATION: Increase 2 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 213.57 kg\n Factor of Safety: 1.21\n Max Deflection: 1.48e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.57432752754843, "fos_buckling": 1.2077052412810605, "fos_yielding": 3.4766223695414906, "deflection": 0.0014787614328453233, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.362)" }, "parent_node_id": "node_2541", "improvement_over_parent": null }, "node_2543": { "node_id": "node_2543", "content": "MODIFICATION: Increase 6 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0083)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 230.37 kg\n Factor of Safety: 1.21\n Max Deflection: 1.36e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 230.36799171921615, "fos_buckling": 1.2055350386622345, "fos_yielding": 3.470375004941959, "deflection": 0.0013632692413190852, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.443)" }, "parent_node_id": "node_2542", "improvement_over_parent": null }, "node_2544": { "node_id": "node_2544", "content": "MODIFICATION: Increase 2 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0083)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 231.44 kg\n Factor of Safety: 1.21\n Max Deflection: 1.36e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 231.43846875284248, "fos_buckling": 1.2056892539867166, "fos_yielding": 3.470818944761457, "deflection": 0.0013625892505863435, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.473)" }, "parent_node_id": "node_2543", "improvement_over_parent": null }, "node_2545": { "node_id": "node_2545", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2544", "improvement_over_parent": null }, "node_2546": { "node_id": "node_2546", "content": "INITIAL DESIGN (Trace 369)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n\nPerformance:\n Mass: 114.64 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": 114.63881012452707, "fos_buckling": 0.8692003634424132, "fos_yielding": 2.2991692416113327, "deflection": 0.0027950400931425765, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2547": { "node_id": "node_2547", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n\nPerformance:\n Mass: 117.47 kg\n Factor of Safety: 0.91\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": 117.46961865790665, "fos_buckling": 0.9084291057132347, "fos_yielding": 2.2991692416113327, "deflection": 0.0026685806086374064, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001246)" }, "parent_node_id": "node_2546", "improvement_over_parent": null }, "node_2548": { "node_id": "node_2548", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n\nPerformance:\n Mass: 151.81 kg\n Factor of Safety: 1.14\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": 151.81315174283668, "fos_buckling": 1.1396897741684089, "fos_yielding": 2.970189720530604, "deflection": 0.002069741472874608, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.311)" }, "parent_node_id": "node_2547", "improvement_over_parent": null }, "node_2549": { "node_id": "node_2549", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n\nPerformance:\n Mass: 157.90 kg\n Factor of Safety: 1.17\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": 157.9014668282661, "fos_buckling": 1.1722678912156514, "fos_yielding": 2.9395868730646377, "deflection": 0.0020423128680590067, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001763)" }, "parent_node_id": "node_2548", "improvement_over_parent": null }, "node_2550": { "node_id": "node_2550", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 180.66 kg\n Factor of Safety: 1.32\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.65761131932354, "fos_buckling": 1.3159438611034937, "fos_yielding": 3.3618602754895783, "deflection": 0.0017876247547680964, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.155)" }, "parent_node_id": "node_2549", "improvement_over_parent": null }, "node_2551": { "node_id": "node_2551", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.27 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.2720694958439, "fos_buckling": 1.568113788630615, "fos_yielding": 4.151709876950482, "deflection": 0.0014503229390059322, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.259)" }, "parent_node_id": "node_2550", "improvement_over_parent": null }, "node_2552": { "node_id": "node_2552", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2551", "improvement_over_parent": null }, "node_2553": { "node_id": "node_2553", "content": "INITIAL DESIGN (Trace 370)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 217.54 kg\n Factor of Safety: 1.36\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.54224835070906, "fos_buckling": 1.3592226676552044, "fos_yielding": 4.160169848270244, "deflection": 0.0014675356703319094, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2554": { "node_id": "node_2554", "content": "MODIFICATION: Increase 9 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 220.41 kg\n Factor of Safety: 1.29\n Max Deflection: 1.46e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 220.41005680080292, "fos_buckling": 1.287759242930327, "fos_yielding": 4.16177738049954, "deflection": 0.001464507850842626, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.325)" }, "parent_node_id": "node_2553", "improvement_over_parent": null }, "node_2555": { "node_id": "node_2555", "content": "MODIFICATION: Increase 5 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 221.93 kg\n Factor of Safety: 1.55\n Max Deflection: 1.46e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 221.93418166051487, "fos_buckling": 1.5530534408856336, "fos_yielding": 4.155219434362314, "deflection": 0.001455582696012531, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.495)" }, "parent_node_id": "node_2554", "improvement_over_parent": null }, "node_2556": { "node_id": "node_2556", "content": "MODIFICATION: Increase 5 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.2612988152393, "fos_buckling": 1.5680176712922658, "fos_yielding": 4.151349876129665, "deflection": 0.0014504402516584034, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.302)" }, "parent_node_id": "node_2555", "improvement_over_parent": null }, "node_2557": { "node_id": "node_2557", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2556", "improvement_over_parent": null }, "node_2558": { "node_id": "node_2558", "content": "INITIAL DESIGN (Trace 371)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 150.35 kg\n Factor of Safety: 0.05\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": 150.35458488070938, "fos_buckling": 0.05373200070009765, "fos_yielding": 1.2828465264554985, "deflection": 0.011365161491654568, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2559": { "node_id": "node_2559", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 155.69 kg\n Factor of Safety: 0.05\n Max Deflection: 7.03e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.68785803559626, "fos_buckling": 0.05367118941976405, "fos_yielding": 1.281394662785268, "deflection": 0.007032683211724452, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002195)" }, "parent_node_id": "node_2558", "improvement_over_parent": null }, "node_2560": { "node_id": "node_2560", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 179.78 kg\n Factor of Safety: 0.06\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.77807854131453, "fos_buckling": 0.060409094225628, "fos_yielding": 1.4771412401243307, "deflection": 0.006098565278782736, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.170)" }, "parent_node_id": "node_2559", "improvement_over_parent": null }, "node_2561": { "node_id": "node_2561", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n\nPerformance:\n Mass: 213.63 kg\n Factor of Safety: 1.04\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.63331705797765, "fos_buckling": 1.036734297454856, "fos_yielding": 4.125064740585201, "deflection": 0.0015635572462472213, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004385)" }, "parent_node_id": "node_2560", "improvement_over_parent": null }, "node_2562": { "node_id": "node_2562", "content": "MODIFICATION: Increase 7 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n\nPerformance:\n Mass: 217.13 kg\n Factor of Safety: 1.05\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.1263512706047, "fos_buckling": 1.0509653198489648, "fos_yielding": 4.126023831905884, "deflection": 0.0015600371330617728, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.316)" }, "parent_node_id": "node_2561", "improvement_over_parent": null }, "node_2563": { "node_id": "node_2563", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2562", "improvement_over_parent": null }, "node_2564": { "node_id": "node_2564", "content": "INITIAL DESIGN (Trace 372)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0018)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0024)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0024)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0005)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0009)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0024)]\n\nPerformance:\n Mass: 93.63 kg\n Factor of Safety: 0.75\n Max Deflection: 3.34e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 93.627185218135, "fos_buckling": 0.7507296896296287, "fos_yielding": 1.8125749893265788, "deflection": 0.0033392290376728783, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2565": { "node_id": "node_2565", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0028)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0006)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0010)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n\nPerformance:\n Mass: 107.65 kg\n Factor of Safety: 0.85\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": 107.64576134601602, "fos_buckling": 0.8531250278986382, "fos_yielding": 2.083219476293209, "deflection": 0.0029073002577238347, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.156)" }, "parent_node_id": "node_2564", "improvement_over_parent": null }, "node_2566": { "node_id": "node_2566", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0008)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 138.24 kg\n Factor of Safety: 1.07\n Max Deflection: 2.27e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.2422945756526, "fos_buckling": 1.0676464562745651, "fos_yielding": 2.673213703740769, "deflection": 0.0022688444155052633, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.300)" }, "parent_node_id": "node_2565", "improvement_over_parent": null }, "node_2567": { "node_id": "node_2567", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0010)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 169.36 kg\n Factor of Safety: 1.27\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.35909263888144, "fos_buckling": 1.2732763430240581, "fos_yielding": 3.2722191149237334, "deflection": 0.0018561567950600886, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.241)" }, "parent_node_id": "node_2566", "improvement_over_parent": null }, "node_2568": { "node_id": "node_2568", "content": "MODIFICATION: Increase 8 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 170.12 kg\n Factor of Safety: 1.27\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.11594800308208, "fos_buckling": 1.272521908067995, "fos_yielding": 3.2691584931264894, "deflection": 0.0018539147156460274, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.224)" }, "parent_node_id": "node_2567", "improvement_over_parent": null }, "node_2569": { "node_id": "node_2569", "content": "MODIFICATION: Increase 8 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 172.60 kg\n Factor of Safety: 1.27\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.5962871042905, "fos_buckling": 1.2706558413696964, "fos_yielding": 3.2616536958348763, "deflection": 0.0018485980219722109, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.621)" }, "parent_node_id": "node_2568", "improvement_over_parent": null }, "node_2570": { "node_id": "node_2570", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 219.67 kg\n Factor of Safety: 1.55\n Max Deflection: 1.46e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 219.66928109928674, "fos_buckling": 1.5523806530155424, "fos_yielding": 4.146634716337848, "deflection": 0.0014570991226741357, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_2569", "improvement_over_parent": null }, "node_2571": { "node_id": "node_2571", "content": "MODIFICATION: Increase 9 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.08 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.0794375236824, "fos_buckling": 1.567033463422674, "fos_yielding": 4.148200779380386, "deflection": 0.0014515407171193531, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.410)" }, "parent_node_id": "node_2570", "improvement_over_parent": null }, "node_2572": { "node_id": "node_2572", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2571", "improvement_over_parent": null }, "node_2573": { "node_id": "node_2573", "content": "INITIAL DESIGN (Trace 373)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 130.19 kg\n Factor of Safety: 0.05\n Max Deflection: 8.40e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.19105280532398, "fos_buckling": 0.04608694659834627, "fos_yielding": 1.0734939414665043, "deflection": 0.008398030172656295, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2574": { "node_id": "node_2574", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n\nPerformance:\n Mass: 161.80 kg\n Factor of Safety: 1.20\n Max Deflection: 1.99e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.79594622588326, "fos_buckling": 1.1972667855600423, "fos_yielding": 3.011755624088589, "deflection": 0.001993676678744845, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004074)" }, "parent_node_id": "node_2573", "improvement_over_parent": null }, "node_2575": { "node_id": "node_2575", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n\nPerformance:\n Mass: 199.82 kg\n Factor of Safety: 1.43\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.81800124824238, "fos_buckling": 1.4320008702420237, "fos_yielding": 3.716993461278646, "deflection": 0.0016181909845081862, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.255)" }, "parent_node_id": "node_2574", "improvement_over_parent": null }, "node_2576": { "node_id": "node_2576", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.28 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.27507988970044, "fos_buckling": 1.5680878538292653, "fos_yielding": 4.151600981540412, "deflection": 0.0014503263930468993, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.129)" }, "parent_node_id": "node_2575", "improvement_over_parent": null }, "node_2577": { "node_id": "node_2577", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2576", "improvement_over_parent": null }, "node_2578": { "node_id": "node_2578", "content": "INITIAL DESIGN (Trace 374)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 120.43 kg\n Factor of Safety: 0.04\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": 120.43421668142338, "fos_buckling": 0.03632026478238032, "fos_yielding": 0.8219086919872904, "deflection": 0.00872134057170467, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2579": { "node_id": "node_2579", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n\nPerformance:\n Mass: 154.58 kg\n Factor of Safety: 0.60\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": 154.577217716539, "fos_buckling": 0.595111416499856, "fos_yielding": 3.2273816260519568, "deflection": 0.002254598108159686, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004425)" }, "parent_node_id": "node_2578", "improvement_over_parent": null }, "node_2580": { "node_id": "node_2580", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nPerformance:\n Mass: 164.40 kg\n Factor of Safety: 0.76\n Max Deflection: 2.15e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.4032370859322, "fos_buckling": 0.763926011258812, "fos_yielding": 3.2401922546538473, "deflection": 0.002153769675800683, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002374)" }, "parent_node_id": "node_2579", "improvement_over_parent": null }, "node_2581": { "node_id": "node_2581", "content": "MODIFICATION: Increase 0 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nPerformance:\n Mass: 166.90 kg\n Factor of Safety: 1.01\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": 166.9011234134083, "fos_buckling": 1.0141908750914972, "fos_yielding": 3.2533448245574936, "deflection": 0.002058638366064587, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.282)" }, "parent_node_id": "node_2580", "improvement_over_parent": null }, "node_2582": { "node_id": "node_2582", "content": "MODIFICATION: Increase 1 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nPerformance:\n Mass: 171.81 kg\n Factor of Safety: 0.94\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.813802058468, "fos_buckling": 0.9398486034122867, "fos_yielding": 3.248701320997312, "deflection": 0.0019052093131464716, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.597)" }, "parent_node_id": "node_2581", "improvement_over_parent": null }, "node_2583": { "node_id": "node_2583", "content": "MODIFICATION: Increase 0 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nPerformance:\n Mass: 173.98 kg\n Factor of Safety: 1.19\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.98483046610147, "fos_buckling": 1.1892393757849258, "fos_yielding": 3.2564888829080414, "deflection": 0.0018493023354642796, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.196)" }, "parent_node_id": "node_2582", "improvement_over_parent": null }, "node_2584": { "node_id": "node_2584", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 222.19 kg\n Factor of Safety: 1.45\n Max Deflection: 1.45e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 222.18603857511673, "fos_buckling": 1.453079497869197, "fos_yielding": 4.154813240163952, "deflection": 0.0014526150755111173, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.304)" }, "parent_node_id": "node_2583", "improvement_over_parent": null }, "node_2585": { "node_id": "node_2585", "content": "MODIFICATION: Increase 2 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.21 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.20865056326988, "fos_buckling": 1.5678299749341649, "fos_yielding": 4.150530571362376, "deflection": 0.001450805163556241, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.443)" }, "parent_node_id": "node_2584", "improvement_over_parent": null }, "node_2586": { "node_id": "node_2586", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2585", "improvement_over_parent": null }, "node_2587": { "node_id": "node_2587", "content": "INITIAL DESIGN (Trace 375)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n\nPerformance:\n Mass: 120.71 kg\n Factor of Safety: 0.05\n Max Deflection: 8.33e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.70889066275937, "fos_buckling": 0.04732557645550777, "fos_yielding": 1.1064756092566015, "deflection": 0.00832904193512089, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2588": { "node_id": "node_2588", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n\nPerformance:\n Mass: 153.26 kg\n Factor of Safety: 1.07\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.25724316748205, "fos_buckling": 1.0666001682826063, "fos_yielding": 2.630533403433807, "deflection": 0.0020135701273494323, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004204)" }, "parent_node_id": "node_2587", "improvement_over_parent": null }, "node_2589": { "node_id": "node_2589", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n\nPerformance:\n Mass: 171.34 kg\n Factor of Safety: 1.18\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.33836145578812, "fos_buckling": 1.1782245899511548, "fos_yielding": 2.9433500426587047, "deflection": 0.0018036065115255876, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.127)" }, "parent_node_id": "node_2588", "improvement_over_parent": null }, "node_2590": { "node_id": "node_2590", "content": "MODIFICATION: Increase 4 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n\nPerformance:\n Mass: 175.77 kg\n Factor of Safety: 1.17\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.77319816329603, "fos_buckling": 1.1677013865715073, "fos_yielding": 3.4522817564357937, "deflection": 0.001788666259818784, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.193)" }, "parent_node_id": "node_2589", "improvement_over_parent": null }, "node_2591": { "node_id": "node_2591", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n\nPerformance:\n Mass: 186.24 kg\n Factor of Safety: 1.35\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.23993031529906, "fos_buckling": 1.3503798279309185, "fos_yielding": 3.463200985603477, "deflection": 0.001734525710246229, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002541)" }, "parent_node_id": "node_2590", "improvement_over_parent": null }, "node_2592": { "node_id": "node_2592", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.21 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.20931652580455, "fos_buckling": 1.5679248291015628, "fos_yielding": 4.147969299471289, "deflection": 0.0014506200988873535, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.218)" }, "parent_node_id": "node_2591", "improvement_over_parent": null }, "node_2593": { "node_id": "node_2593", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2592", "improvement_over_parent": null }, "node_2594": { "node_id": "node_2594", "content": "INITIAL DESIGN (Trace 376)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 175.25 kg\n Factor of Safety: 1.01\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.2507234191978, "fos_buckling": 1.0076317768259861, "fos_yielding": 3.4599041201377054, "deflection": 0.001790086801604401, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2595": { "node_id": "node_2595", "content": "MODIFICATION: Increase 2 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 175.90 kg\n Factor of Safety: 1.17\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.895012553495, "fos_buckling": 1.1662852151579068, "fos_yielding": 3.456796479990424, "deflection": 0.0017875937189121866, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.299)" }, "parent_node_id": "node_2594", "improvement_over_parent": null }, "node_2596": { "node_id": "node_2596", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 210.81 kg\n Factor of Safety: 1.34\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.80813175083097, "fos_buckling": 1.339520071925006, "fos_yielding": 4.1401787634240215, "deflection": 0.0014951463626714384, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.218)" }, "parent_node_id": "node_2595", "improvement_over_parent": null }, "node_2597": { "node_id": "node_2597", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n\nPerformance:\n Mass: 221.22 kg\n Factor of Safety: 1.56\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 221.21758619882883, "fos_buckling": 1.5600091134708676, "fos_yielding": 4.152377479767428, "deflection": 0.0014530008131390555, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002526)" }, "parent_node_id": "node_2596", "improvement_over_parent": null }, "node_2598": { "node_id": "node_2598", "content": "MODIFICATION: Increase 9 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0070)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n\nPerformance:\n Mass: 229.75 kg\n Factor of Safety: 1.58\n Max Deflection: 1.39e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 229.74860011257928, "fos_buckling": 1.5774050343684167, "fos_yielding": 4.14903989001044, "deflection": 0.0013876725941949196, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.225)" }, "parent_node_id": "node_2597", "improvement_over_parent": null }, "node_2599": { "node_id": "node_2599", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2598", "improvement_over_parent": null }, "node_2600": { "node_id": "node_2600", "content": "INITIAL DESIGN (Trace 377)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 210.82 kg\n Factor of Safety: 1.40\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.82076870983596, "fos_buckling": 1.4016574857192527, "fos_yielding": 4.195107600608034, "deflection": 0.0015379565001638791, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2601": { "node_id": "node_2601", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 214.38 kg\n Factor of Safety: 1.39\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.37517604553398, "fos_buckling": 1.392427741405072, "fos_yielding": 4.153230745592912, "deflection": 0.0015186334890637282, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_2600", "improvement_over_parent": null }, "node_2602": { "node_id": "node_2602", "content": "MODIFICATION: Increase 10 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0023)]\n\nPerformance:\n Mass: 214.96 kg\n Factor of Safety: 1.39\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.95569186015362, "fos_buckling": 1.3920233911979911, "fos_yielding": 4.151553495175348, "deflection": 0.001517974918499666, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.183)" }, "parent_node_id": "node_2601", "improvement_over_parent": null }, "node_2603": { "node_id": "node_2603", "content": "MODIFICATION: Increase 9 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0023)]\n\nPerformance:\n Mass: 225.29 kg\n Factor of Safety: 1.58\n Max Deflection: 1.42e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 225.29084411176657, "fos_buckling": 1.576577669174944, "fos_yielding": 4.146512484845426, "deflection": 0.0014185951029607442, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.314)" }, "parent_node_id": "node_2602", "improvement_over_parent": null }, "node_2604": { "node_id": "node_2604", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2603", "improvement_over_parent": null }, "node_2605": { "node_id": "node_2605", "content": "INITIAL DESIGN (Trace 378)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 171.82 kg\n Factor of Safety: 0.96\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.821985729409, "fos_buckling": 0.9594531541335617, "fos_yielding": 3.436905359085162, "deflection": 0.0018481897071691814, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2606": { "node_id": "node_2606", "content": "MODIFICATION: Increase 0 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 174.35 kg\n Factor of Safety: 1.16\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.35225642274452, "fos_buckling": 1.163870581481729, "fos_yielding": 3.4465448243647057, "deflection": 0.001792730655832958, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.220)" }, "parent_node_id": "node_2605", "improvement_over_parent": null }, "node_2607": { "node_id": "node_2607", "content": "MODIFICATION: Increase 3 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 175.37 kg\n Factor of Safety: 1.16\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.36883583235732, "fos_buckling": 1.1634911384368485, "fos_yielding": 3.446530027939261, "deflection": 0.0017929147951553643, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.333)" }, "parent_node_id": "node_2606", "improvement_over_parent": null }, "node_2608": { "node_id": "node_2608", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n\nPerformance:\n Mass: 185.81 kg\n Factor of Safety: 1.35\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.81266332942914, "fos_buckling": 1.3476069884868216, "fos_yielding": 3.457428946137482, "deflection": 0.001738655652372088, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002535)" }, "parent_node_id": "node_2607", "improvement_over_parent": null }, "node_2609": { "node_id": "node_2609", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.21 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.20557485291425, "fos_buckling": 1.5677261150593202, "fos_yielding": 4.150427507912925, "deflection": 0.001450797906822298, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.221)" }, "parent_node_id": "node_2608", "improvement_over_parent": null }, "node_2610": { "node_id": "node_2610", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2609", "improvement_over_parent": null }, "node_2611": { "node_id": "node_2611", "content": "INITIAL DESIGN (Trace 379)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0032)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n\nPerformance:\n Mass: 143.54 kg\n Factor of Safety: 0.96\n Max Deflection: 2.34e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.54462755995104, "fos_buckling": 0.9596946967040877, "fos_yielding": 2.8584618094805294, "deflection": 0.0023437178586068965, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2612": { "node_id": "node_2612", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0032)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n\nPerformance:\n Mass: 147.74 kg\n Factor of Safety: 0.91\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": 147.7373728961325, "fos_buckling": 0.9128874063360282, "fos_yielding": 2.8198771248429173, "deflection": 0.0022203010716891646, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001696)" }, "parent_node_id": "node_2611", "improvement_over_parent": null }, "node_2613": { "node_id": "node_2613", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 170.91 kg\n Factor of Safety: 1.03\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.9145394463607, "fos_buckling": 1.0317245089352276, "fos_yielding": 3.2601185339531407, "deflection": 0.0019215706899266838, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.168)" }, "parent_node_id": "node_2612", "improvement_over_parent": null }, "node_2614": { "node_id": "node_2614", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 216.97 kg\n Factor of Safety: 1.25\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.97131263374072, "fos_buckling": 1.249660636011302, "fos_yielding": 4.1331144358665455, "deflection": 0.0015173299876615842, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.295)" }, "parent_node_id": "node_2613", "improvement_over_parent": null }, "node_2615": { "node_id": "node_2615", "content": "MODIFICATION: Increase 7 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0030)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 218.38 kg\n Factor of Safety: 1.17\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.37757251661404, "fos_buckling": 1.1716715623050844, "fos_yielding": 4.128828748141686, "deflection": 0.001515313237297829, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.183)" }, "parent_node_id": "node_2614", "improvement_over_parent": null }, "node_2616": { "node_id": "node_2616", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 380)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 158.61 kg\n Factor of Safety: 1.04\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": 158.6085132552312, "fos_buckling": 1.0383162283352219, "fos_yielding": 3.250543408147414, "deflection": 0.0021548663896417486, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2618": { "node_id": "node_2618", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 204.99 kg\n Factor of Safety: 1.28\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.9867922367666, "fos_buckling": 1.2804131851311942, "fos_yielding": 4.19267420117956, "deflection": 0.0016698903854153121, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_2617", "improvement_over_parent": null }, "node_2619": { "node_id": "node_2619", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 208.54 kg\n Factor of Safety: 1.29\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.54119957246462, "fos_buckling": 1.2872411419960215, "fos_yielding": 4.133621243154442, "deflection": 0.0016384194054847858, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_2618", "improvement_over_parent": null }, "node_2620": { "node_id": "node_2620", "content": "MODIFICATION: Increase 1 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 214.24 kg\n Factor of Safety: 1.18\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.23550833045746, "fos_buckling": 1.1762654006607984, "fos_yielding": 4.128222179723, "deflection": 0.001531863637622194, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.527)" }, "parent_node_id": "node_2619", "improvement_over_parent": null }, "node_2621": { "node_id": "node_2621", "content": "MODIFICATION: Increase 7 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0031)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 215.90 kg\n Factor of Safety: 1.09\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.8968523427909, "fos_buckling": 1.0920627071251239, "fos_yielding": 4.1229775569829155, "deflection": 0.001529288208829379, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.217)" }, "parent_node_id": "node_2620", "improvement_over_parent": null }, "node_2622": { "node_id": "node_2622", "content": "MODIFICATION: Increase 9 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0031)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0067)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 222.67 kg\n Factor of Safety: 1.05\n Max Deflection: 1.48e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 222.67220218140469, "fos_buckling": 1.0465054789261043, "fos_yielding": 4.120054454761646, "deflection": 0.0014753572589951286, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.178)" }, "parent_node_id": "node_2621", "improvement_over_parent": null }, "node_2623": { "node_id": "node_2623", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2622", "improvement_over_parent": null }, "node_2624": { "node_id": "node_2624", "content": "INITIAL DESIGN (Trace 381)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0026)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0026)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0026)]\n\nPerformance:\n Mass: 106.64 kg\n Factor of Safety: 0.83\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": 106.64306125828855, "fos_buckling": 0.8254551587528501, "fos_yielding": 1.9870917738292013, "deflection": 0.0030142301106918716, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2625": { "node_id": "node_2625", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0035)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n\nPerformance:\n Mass: 132.49 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": 132.49163167219803, "fos_buckling": 1.004355404712712, "fos_yielding": 2.467589877341337, "deflection": 0.002430142046873892, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.255)" }, "parent_node_id": "node_2624", "improvement_over_parent": null }, "node_2626": { "node_id": "node_2626", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 157.77 kg\n Factor of Safety: 1.17\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": 157.7703960077572, "fos_buckling": 1.1713980425729906, "fos_yielding": 2.937066449070537, "deflection": 0.002044037664345174, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.203)" }, "parent_node_id": "node_2625", "improvement_over_parent": null }, "node_2627": { "node_id": "node_2627", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 181.38 kg\n Factor of Safety: 1.32\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.38021519184016, "fos_buckling": 1.3203770527992391, "fos_yielding": 3.375164411533405, "deflection": 0.001780622916130959, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.161)" }, "parent_node_id": "node_2626", "improvement_over_parent": null }, "node_2628": { "node_id": "node_2628", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.50 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.49848044945134, "fos_buckling": 1.5693664440325132, "fos_yielding": 4.155783420136484, "deflection": 0.0014489050659710994, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.255)" }, "parent_node_id": "node_2627", "improvement_over_parent": null }, "node_2629": { "node_id": "node_2629", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2628", "improvement_over_parent": null }, "node_2630": { "node_id": "node_2630", "content": "INITIAL DESIGN (Trace 382)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 183.36 kg\n Factor of Safety: 1.33\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.3587371069795, "fos_buckling": 1.3251076802270958, "fos_yielding": 3.718041340201308, "deflection": 0.0017082282819497788, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2631": { "node_id": "node_2631", "content": "MODIFICATION: Increase 2 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 184.49 kg\n Factor of Safety: 1.32\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.48937778433776, "fos_buckling": 1.3249490851832504, "fos_yielding": 3.717775093452248, "deflection": 0.0017084337549324086, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.603)" }, "parent_node_id": "node_2630", "improvement_over_parent": null }, "node_2632": { "node_id": "node_2632", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n\nPerformance:\n Mass: 189.09 kg\n Factor of Safety: 1.34\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.08866542945063, "fos_buckling": 1.344941629760248, "fos_yielding": 3.7349282745366787, "deflection": 0.001708976909789603, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002089)" }, "parent_node_id": "node_2631", "improvement_over_parent": null }, "node_2633": { "node_id": "node_2633", "content": "MODIFICATION: Increase 8 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0079)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n\nPerformance:\n Mass: 208.17 kg\n Factor of Safety: 1.40\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.1704512104273, "fos_buckling": 1.398943319965715, "fos_yielding": 3.7149778225596544, "deflection": 0.0015284212025127512, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.575)" }, "parent_node_id": "node_2632", "improvement_over_parent": null }, "node_2634": { "node_id": "node_2634", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0079)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n\nPerformance:\n Mass: 213.64 kg\n Factor of Safety: 1.34\n Max Deflection: 1.48e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.638012061468, "fos_buckling": 1.3423135750896507, "fos_yielding": 3.6836850290682803, "deflection": 0.0014846498436399823, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002255)" }, "parent_node_id": "node_2633", "improvement_over_parent": null }, "node_2635": { "node_id": "node_2635", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0090)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 240.04 kg\n Factor of Safety: 1.47\n Max Deflection: 1.32e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 240.04275995520368, "fos_buckling": 1.469197808320476, "fos_yielding": 4.144530706917935, "deflection": 0.0013233439249177095, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.138)" }, "parent_node_id": "node_2634", "improvement_over_parent": null }, "node_2636": { "node_id": "node_2636", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2635", "improvement_over_parent": null }, "node_2637": { "node_id": "node_2637", "content": "INITIAL DESIGN (Trace 383)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n\nPerformance:\n Mass: 91.65 kg\n Factor of Safety: 0.03\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 91.64745297750612, "fos_buckling": 0.034851998494485475, "fos_yielding": 0.7853509513707678, "deflection": 0.011487718009920721, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2638": { "node_id": "node_2638", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 106.79 kg\n Factor of Safety: 0.04\n Max Deflection: 9.87e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 106.79300097270371, "fos_buckling": 0.03997171683050686, "fos_yielding": 0.9139690080055234, "deflection": 0.009868974587710432, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.174)" }, "parent_node_id": "node_2637", "improvement_over_parent": null }, "node_2639": { "node_id": "node_2639", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 136.62 kg\n Factor of Safety: 0.05\n Max Deflection: 7.73e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.6247299685044, "fos_buckling": 0.049531114452046845, "fos_yielding": 1.1663198585572168, "deflection": 0.007730381312598775, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_2638", "improvement_over_parent": null }, "node_2640": { "node_id": "node_2640", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 155.42 kg\n Factor of Safety: 0.06\n Max Deflection: 6.80e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.42033999510957, "fos_buckling": 0.05519854359624241, "fos_yielding": 1.3246376702482738, "deflection": 0.006804640473470457, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.149)" }, "parent_node_id": "node_2639", "improvement_over_parent": null }, "node_2641": { "node_id": "node_2641", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 173.72 kg\n Factor of Safety: 0.06\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.7158756730037, "fos_buckling": 0.0604527576572781, "fos_yielding": 1.4782347897822186, "deflection": 0.006096011824330427, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.129)" }, "parent_node_id": "node_2640", "improvement_over_parent": null }, "node_2642": { "node_id": "node_2642", "content": "MODIFICATION: Increase 3 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 174.67 kg\n Factor of Safety: 0.06\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.6666501217978, "fos_buckling": 0.06044666630754689, "fos_yielding": 1.4780858396691328, "deflection": 0.006095989205198059, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.247)" }, "parent_node_id": "node_2641", "improvement_over_parent": null }, "node_2643": { "node_id": "node_2643", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 218.28 kg\n Factor of Safety: 1.12\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.2777043645585, "fos_buckling": 1.124007443199638, "fos_yielding": 4.130964579818665, "deflection": 0.0015429585939453752, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_2642", "improvement_over_parent": null }, "node_2644": { "node_id": "node_2644", "content": "MODIFICATION: Increase 0 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.41 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.4095153871551, "fos_buckling": 1.5690097515694814, "fos_yielding": 4.154601356731218, "deflection": 0.0014495344897458111, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.439)" }, "parent_node_id": "node_2643", "improvement_over_parent": null }, "node_2645": { "node_id": "node_2645", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2644", "improvement_over_parent": null }, "node_2646": { "node_id": "node_2646", "content": "INITIAL DESIGN (Trace 384)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 203.48 kg\n Factor of Safety: 1.46\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.47688928182694, "fos_buckling": 1.459690049029143, "fos_yielding": 4.182735151037983, "deflection": 0.0015206199543539437, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2647": { "node_id": "node_2647", "content": "MODIFICATION: Increase 2 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 204.56 kg\n Factor of Safety: 1.46\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.55767213324913, "fos_buckling": 1.45952327607232, "fos_yielding": 4.182448887915437, "deflection": 0.0015207945133097083, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.479)" }, "parent_node_id": "node_2646", "improvement_over_parent": null }, "node_2648": { "node_id": "node_2648", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 210.71 kg\n Factor of Safety: 1.34\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.71148687154695, "fos_buckling": 1.339376272245978, "fos_yielding": 4.13823562556719, "deflection": 0.0014958344555459724, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_2647", "improvement_over_parent": null }, "node_2649": { "node_id": "node_2649", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.2598444916432, "fos_buckling": 1.5680106427621698, "fos_yielding": 4.151338035190035, "deflection": 0.0014504364670497275, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_2648", "improvement_over_parent": null }, "node_2650": { "node_id": "node_2650", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2649", "improvement_over_parent": null }, "node_2651": { "node_id": "node_2651", "content": "INITIAL DESIGN (Trace 385)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\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_2652": { "node_id": "node_2652", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n\nPerformance:\n Mass: 121.87 kg\n Factor of Safety: 0.74\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": 121.86893581184705, "fos_buckling": 0.736186042669894, "fos_yielding": 2.5970501487136657, "deflection": 0.0026961643817485273, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001175)" }, "parent_node_id": "node_2651", "improvement_over_parent": null }, "node_2653": { "node_id": "node_2653", "content": "MODIFICATION: Increase 3 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n\nPerformance:\n Mass: 129.23 kg\n Factor of Safety: 0.74\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": 129.23126825178218, "fos_buckling": 0.736186042669894, "fos_yielding": 2.951780355696485, "deflection": 0.0026961643817485273, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.366)" }, "parent_node_id": "node_2652", "improvement_over_parent": null }, "node_2654": { "node_id": "node_2654", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0065)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n\nPerformance:\n Mass: 165.32 kg\n Factor of Safety: 0.92\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": 165.32459443099125, "fos_buckling": 0.9199326914003648, "fos_yielding": 3.773724744719909, "deflection": 0.002107333864596505, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.300)" }, "parent_node_id": "node_2653", "improvement_over_parent": null }, "node_2655": { "node_id": "node_2655", "content": "MODIFICATION: Increase 7 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0065)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n\nPerformance:\n Mass: 168.05 kg\n Factor of Safety: 0.85\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": 168.05321602406244, "fos_buckling": 0.8511146102730189, "fos_yielding": 3.7623621034468537, "deflection": 0.002100265754926282, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.302)" }, "parent_node_id": "node_2654", "improvement_over_parent": null }, "node_2656": { "node_id": "node_2656", "content": "MODIFICATION: Increase 9 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0065)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n\nPerformance:\n Mass: 168.54 kg\n Factor of Safety: 0.85\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": 168.54129670219845, "fos_buckling": 0.8510266140515212, "fos_yielding": 3.7623476213781593, "deflection": 0.002100369112014459, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.189)" }, "parent_node_id": "node_2655", "improvement_over_parent": null }, "node_2657": { "node_id": "node_2657", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0065)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 175.36 kg\n Factor of Safety: 0.70\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": 175.3597683569399, "fos_buckling": 0.7042338344465168, "fos_yielding": 3.784980711794589, "deflection": 0.0020279734611366525, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001990)" }, "parent_node_id": "node_2656", "improvement_over_parent": null }, "node_2658": { "node_id": "node_2658", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0084)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0023)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 221.34 kg\n Factor of Safety: 0.85\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.33576705601115, "fos_buckling": 0.8517787600277102, "fos_yielding": 4.775886857592002, "deflection": 0.0016062431802228326, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.289)" }, "parent_node_id": "node_2657", "improvement_over_parent": null }, "node_2659": { "node_id": "node_2659", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2658", "improvement_over_parent": null }, "node_2660": { "node_id": "node_2660", "content": "INITIAL DESIGN (Trace 386)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0035)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n\nPerformance:\n Mass: 102.48 kg\n Factor of Safety: 0.07\n Max Deflection: 3.41e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 102.4791675361294, "fos_buckling": 0.0690154016146411, "fos_yielding": 1.08126794842885, "deflection": 34097986448446.492, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2661": { "node_id": "node_2661", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0035)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n\nPerformance:\n Mass: 105.60 kg\n Factor of Safety: 0.08\n Max Deflection: 8.32e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 105.5974746701928, "fos_buckling": 0.08267500183889849, "fos_yielding": 1.2619960262117502, "deflection": 0.008319174989475089, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001242)" }, "parent_node_id": "node_2660", "improvement_over_parent": null }, "node_2662": { "node_id": "node_2662", "content": "MODIFICATION: Increase 4 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0035)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n\nPerformance:\n Mass: 108.91 kg\n Factor of Safety: 0.08\n Max Deflection: 8.16e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 108.90734975196509, "fos_buckling": 0.08267500183889848, "fos_yielding": 1.2619960262117502, "deflection": 0.008162724028971615, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.193)" }, "parent_node_id": "node_2661", "improvement_over_parent": null }, "node_2663": { "node_id": "node_2663", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0035)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n\nPerformance:\n Mass: 111.04 kg\n Factor of Safety: 0.08\n Max Deflection: 8.10e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 111.0386731016686, "fos_buckling": 0.0826562406628091, "fos_yielding": 1.2949796954794068, "deflection": 0.00809999421514649, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001137)" }, "parent_node_id": "node_2662", "improvement_over_parent": null }, "node_2664": { "node_id": "node_2664", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n\nPerformance:\n Mass: 129.89 kg\n Factor of Safety: 0.09\n Max Deflection: 6.93e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.8947028608639, "fos_buckling": 0.0949403276798353, "fos_yielding": 1.5134116660823451, "deflection": 0.0069281898134677, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_2663", "improvement_over_parent": null }, "node_2665": { "node_id": "node_2665", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0060)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n\nPerformance:\n Mass: 164.42 kg\n Factor of Safety: 0.12\n Max Deflection: 5.48e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.41547982638204, "fos_buckling": 0.11612216710320843, "fos_yielding": 1.912269811653702, "deflection": 0.005479165517813711, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.289)" }, "parent_node_id": "node_2664", "improvement_over_parent": null }, "node_2666": { "node_id": "node_2666", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0060)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 202.32 kg\n Factor of Safety: 1.27\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.32362250754502, "fos_buckling": 1.2749984399508176, "fos_yielding": 3.6963751762784414, "deflection": 0.0016224665757486262, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005018)" }, "parent_node_id": "node_2665", "improvement_over_parent": null }, "node_2667": { "node_id": "node_2667", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0068)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 227.66 kg\n Factor of Safety: 1.42\n Max Deflection: 1.44e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 227.6591479688224, "fos_buckling": 1.4230869655691591, "fos_yielding": 4.1586471005292065, "deflection": 0.0014437479559948096, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.138)" }, "parent_node_id": "node_2666", "improvement_over_parent": null }, "node_2668": { "node_id": "node_2668", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2667", "improvement_over_parent": null }, "node_2669": { "node_id": "node_2669", "content": "INITIAL DESIGN (Trace 387)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0024)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 121.00 kg\n Factor of Safety: 0.05\n Max Deflection: 8.04e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.99791641563573, "fos_buckling": 0.048510191136406054, "fos_yielding": 1.1384938343282451, "deflection": 0.008039250403598814, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2670": { "node_id": "node_2670", "content": "MODIFICATION: Increase 5 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 125.57 kg\n Factor of Safety: 0.05\n Max Deflection: 8.04e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.57062899035131, "fos_buckling": 0.04851019113640606, "fos_yielding": 1.1384938343282451, "deflection": 0.008039250403598812, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.362)" }, "parent_node_id": "node_2669", "improvement_over_parent": null }, "node_2671": { "node_id": "node_2671", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 138.88 kg\n Factor of Safety: 0.05\n Max Deflection: 7.28e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.88169096653132, "fos_buckling": 0.05282529656836447, "fos_yielding": 1.257413961984281, "deflection": 0.007276664935244528, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.114)" }, "parent_node_id": "node_2670", "improvement_over_parent": null }, "node_2672": { "node_id": "node_2672", "content": "MODIFICATION: Increase 1 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 142.14 kg\n Factor of Safety: 0.05\n Max Deflection: 7.18e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.13983331847572, "fos_buckling": 0.05280702243429824, "fos_yielding": 1.256978978125964, "deflection": 0.007184877183062265, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.302)" }, "parent_node_id": "node_2671", "improvement_over_parent": null }, "node_2673": { "node_id": "node_2673", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n\nPerformance:\n Mass: 146.54 kg\n Factor of Safety: 0.05\n Max Deflection: 7.17e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.5355284049375, "fos_buckling": 0.05278238806757285, "fos_yielding": 1.2563926000329408, "deflection": 0.007169580790273355, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001989)" }, "parent_node_id": "node_2672", "improvement_over_parent": null }, "node_2674": { "node_id": "node_2674", "content": "MODIFICATION: Increase 6 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n\nPerformance:\n Mass: 148.72 kg\n Factor of Safety: 0.05\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.72199050897137, "fos_buckling": 0.052770143247991744, "fos_yielding": 1.2561011334799166, "deflection": 0.006519230570619989, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.332)" }, "parent_node_id": "node_2673", "improvement_over_parent": null }, "node_2675": { "node_id": "node_2675", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n\nPerformance:\n Mass: 185.76 kg\n Factor of Safety: 1.11\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.76423081282536, "fos_buckling": 1.109772573731974, "fos_yielding": 3.1605058262410126, "deflection": 0.0017251658311266064, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004831)" }, "parent_node_id": "node_2674", "improvement_over_parent": null }, "node_2676": { "node_id": "node_2676", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 218.77 kg\n Factor of Safety: 1.28\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.77218958835581, "fos_buckling": 1.2842500042247889, "fos_yielding": 3.7323045919099314, "deflection": 0.0014678785650014375, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.195)" }, "parent_node_id": "node_2675", "improvement_over_parent": null }, "node_2677": { "node_id": "node_2677", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2676", "improvement_over_parent": null }, "node_2678": { "node_id": "node_2678", "content": "INITIAL DESIGN (Trace 388)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 145.27 kg\n Factor of Safety: 0.04\n Max Deflection: 8.10e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.2684754618155, "fos_buckling": 0.038964328083295814, "fos_yielding": 0.8886319777560922, "deflection": 0.008102325339798988, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2679": { "node_id": "node_2679", "content": "MODIFICATION: Increase 2 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 146.02 kg\n Factor of Safety: 0.05\n Max Deflection: 7.50e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.02108751569853, "fos_buckling": 0.0508198323188958, "fos_yielding": 1.2018099517417606, "deflection": 0.007495430157606242, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.379)" }, "parent_node_id": "node_2678", "improvement_over_parent": null }, "node_2680": { "node_id": "node_2680", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n\nPerformance:\n Mass: 181.47 kg\n Factor of Safety: 1.32\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.46859943182358, "fos_buckling": 1.3209279581139124, "fos_yielding": 3.3768234684082103, "deflection": 0.0017797425978860208, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004607)" }, "parent_node_id": "node_2679", "improvement_over_parent": null }, "node_2681": { "node_id": "node_2681", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.28 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.2811045838835, "fos_buckling": 1.5681432383382525, "fos_yielding": 4.151781905211348, "deflection": 0.0014502775826949947, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.253)" }, "parent_node_id": "node_2680", "improvement_over_parent": null }, "node_2682": { "node_id": "node_2682", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2681", "improvement_over_parent": null }, "node_2683": { "node_id": "node_2683", "content": "INITIAL DESIGN (Trace 389)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n\nPerformance:\n Mass: 125.56 kg\n Factor of Safety: 0.19\n Max Deflection: 8.68e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.55865650958236, "fos_buckling": 0.19042525217658973, "fos_yielding": 3.2477037305141283, "deflection": 8683664129045.056, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2684": { "node_id": "node_2684", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 161.93 kg\n Factor of Safety: 0.24\n Max Deflection: 6.21e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.93373488246695, "fos_buckling": 0.23602983625786458, "fos_yielding": 2.1625358968577, "deflection": 6206870538354.922, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.318)" }, "parent_node_id": "node_2683", "improvement_over_parent": null }, "node_2685": { "node_id": "node_2685", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 168.09 kg\n Factor of Safety: 0.02\n Max Deflection: 3.55e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.08754962076478, "fos_buckling": 0.02211189222631827, "fos_yielding": 0.5406339742144249, "deflection": 35464868693661.52, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_2684", "improvement_over_parent": null }, "node_2686": { "node_id": "node_2686", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 180.64 kg\n Factor of Safety: 0.13\n Max Deflection: 4.84e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.63590724086103, "fos_buckling": 0.12790146211265735, "fos_yielding": 2.1485718880311717, "deflection": 0.004836229155141323, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_2685", "improvement_over_parent": null }, "node_2687": { "node_id": "node_2687", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.29 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.28787559223443, "fos_buckling": 1.5681016494135733, "fos_yielding": 4.15203377792751, "deflection": 0.0014502525811547395, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_2686", "improvement_over_parent": null }, "node_2688": { "node_id": "node_2688", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2687", "improvement_over_parent": null }, "node_2689": { "node_id": "node_2689", "content": "INITIAL DESIGN (Trace 390)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0027)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 138.34 kg\n Factor of Safety: 0.59\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": 138.33779609674613, "fos_buckling": 0.5875389760446791, "fos_yielding": 2.8659849308582257, "deflection": 0.0023514392749771863, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2690": { "node_id": "node_2690", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0027)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n\nPerformance:\n Mass: 147.10 kg\n Factor of Safety: 0.67\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": 147.09820536308817, "fos_buckling": 0.6692829610644582, "fos_yielding": 2.8737746714651253, "deflection": 0.0022957006274592667, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002100)" }, "parent_node_id": "node_2689", "improvement_over_parent": null }, "node_2691": { "node_id": "node_2691", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0032)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nPerformance:\n Mass: 169.89 kg\n Factor of Safety: 0.76\n Max Deflection: 1.99e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.8892959408822, "fos_buckling": 0.7577640278040323, "fos_yielding": 3.3163885317481445, "deflection": 0.0019893481438568728, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.166)" }, "parent_node_id": "node_2690", "improvement_over_parent": null }, "node_2692": { "node_id": "node_2692", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 210.93 kg\n Factor of Safety: 0.91\n Max Deflection: 1.60e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.92602806708138, "fos_buckling": 0.907388041154754, "fos_yielding": 4.111404054159872, "deflection": 0.0016045789247246293, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.264)" }, "parent_node_id": "node_2691", "improvement_over_parent": null }, "node_2693": { "node_id": "node_2693", "content": "MODIFICATION: Increase 7 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.23 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.22665950075876, "fos_buckling": 1.567776799857836, "fos_yielding": 4.150606996430384, "deflection": 0.0014506063639577761, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.431)" }, "parent_node_id": "node_2692", "improvement_over_parent": null }, "node_2694": { "node_id": "node_2694", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2693", "improvement_over_parent": null }, "node_2695": { "node_id": "node_2695", "content": "INITIAL DESIGN (Trace 391)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0010)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 125.75 kg\n Factor of Safety: 0.98\n Max Deflection: 2.41e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.7508545734865, "fos_buckling": 0.9832145189575251, "fos_yielding": 2.631475423612438, "deflection": 0.002413723536804907, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2696": { "node_id": "node_2696", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0010)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n\nPerformance:\n Mass: 133.63 kg\n Factor of Safety: 1.00\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": 133.6268320613047, "fos_buckling": 0.9961842334204822, "fos_yielding": 2.6410797231258796, "deflection": 0.002413373614286228, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.001876)" }, "parent_node_id": "node_2695", "improvement_over_parent": null }, "node_2697": { "node_id": "node_2697", "content": "MODIFICATION: Increase 2 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0010)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n\nPerformance:\n Mass: 134.33 kg\n Factor of Safety: 1.00\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": 134.32899162410223, "fos_buckling": 0.9965637234203294, "fos_yielding": 2.64131806540949, "deflection": 0.0024135421957290812, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.484)" }, "parent_node_id": "node_2696", "improvement_over_parent": null }, "node_2698": { "node_id": "node_2698", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0045)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0043)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n\nPerformance:\n Mass: 161.73 kg\n Factor of Safety: 1.17\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": 161.73465876301094, "fos_buckling": 1.1725020975460765, "fos_yielding": 3.1781763418009272, "deflection": 0.002007397284423195, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.218)" }, "parent_node_id": "node_2697", "improvement_over_parent": null }, "node_2699": { "node_id": "node_2699", "content": "MODIFICATION: Increase 7 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0045)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0043)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n\nPerformance:\n Mass: 164.04 kg\n Factor of Safety: 1.17\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": 164.04032367207753, "fos_buckling": 1.1738136984959053, "fos_yielding": 3.1785268216122917, "deflection": 0.0020073726453415704, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.587)" }, "parent_node_id": "node_2698", "improvement_over_parent": null }, "node_2700": { "node_id": "node_2700", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n\nPerformance:\n Mass: 192.18 kg\n Factor of Safety: 1.34\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.18050333216593, "fos_buckling": 1.3427547248976521, "fos_yielding": 3.7215849935997425, "deflection": 0.001715686464413889, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.186)" }, "parent_node_id": "node_2699", "improvement_over_parent": null }, "node_2701": { "node_id": "node_2701", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 197.63 kg\n Factor of Safety: 1.42\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.6279600303354, "fos_buckling": 1.418997363421015, "fos_yielding": 3.676515923062691, "deflection": 0.0016358772876311643, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002246)" }, "parent_node_id": "node_2700", "improvement_over_parent": null }, "node_2702": { "node_id": "node_2702", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.35 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.3472911569693, "fos_buckling": 1.568540312003128, "fos_yielding": 4.153069438383539, "deflection": 0.0014498465595315486, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.143)" }, "parent_node_id": "node_2701", "improvement_over_parent": null }, "node_2703": { "node_id": "node_2703", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2702", "improvement_over_parent": null }, "node_2704": { "node_id": "node_2704", "content": "INITIAL DESIGN (Trace 392)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 169.10 kg\n Factor of Safety: 0.63\n Max Deflection: 3.67e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.10210848445817, "fos_buckling": 0.6322129818773362, "fos_yielding": 0.540633974214425, "deflection": 36664446758553.27, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2705": { "node_id": "node_2705", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n\nPerformance:\n Mass: 175.38 kg\n Factor of Safety: 0.06\n Max Deflection: 7.00e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.37814995794275, "fos_buckling": 0.06040203262685253, "fos_yielding": 1.2781581227901233, "deflection": 0.006998596433997027, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001821)" }, "parent_node_id": "node_2704", "improvement_over_parent": null }, "node_2706": { "node_id": "node_2706", "content": "MODIFICATION: Increase 7 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n\nPerformance:\n Mass: 179.25 kg\n Factor of Safety: 0.06\n Max Deflection: 7.00e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.25348312179466, "fos_buckling": 0.06037723744718791, "fos_yielding": 1.2776334358066543, "deflection": 0.006999100073252433, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.408)" }, "parent_node_id": "node_2705", "improvement_over_parent": null }, "node_2707": { "node_id": "node_2707", "content": "MODIFICATION: Increase 8 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0068)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n\nPerformance:\n Mass: 186.85 kg\n Factor of Safety: 0.06\n Max Deflection: 6.92e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.85296881366318, "fos_buckling": 0.06032867342617492, "fos_yielding": 1.2766057800269799, "deflection": 0.006917869301881397, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.200)" }, "parent_node_id": "node_2706", "improvement_over_parent": null }, "node_2708": { "node_id": "node_2708", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0068)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 230.46 kg\n Factor of Safety: 1.57\n Max Deflection: 1.39e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 230.46402305642388, "fos_buckling": 1.5696883893799733, "fos_yielding": 4.155717246593639, "deflection": 0.0013935359302307225, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_2707", "improvement_over_parent": null }, "node_2709": { "node_id": "node_2709", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2708", "improvement_over_parent": null }, "node_2710": { "node_id": "node_2710", "content": "INITIAL DESIGN (Trace 393)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 166.94 kg\n Factor of Safety: 0.18\n Max Deflection: 7.79e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.93950821153976, "fos_buckling": 0.17690045272099605, "fos_yielding": 4.117520965858295, "deflection": 7791325237274.658, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2711": { "node_id": "node_2711", "content": "MODIFICATION: Increase 5 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 169.21 kg\n Factor of Safety: 1.46\n Max Deflection: 1.07e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.21340442760803, "fos_buckling": 1.4587724547268635, "fos_yielding": 4.19645566016795, "deflection": 10650726135927.893, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.642)" }, "parent_node_id": "node_2710", "improvement_over_parent": null }, "node_2712": { "node_id": "node_2712", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 177.83 kg\n Factor of Safety: 0.06\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.82650904236868, "fos_buckling": 0.06038634070608061, "fos_yielding": 1.4763967807673046, "deflection": 0.006102605873090478, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_2711", "improvement_over_parent": null }, "node_2713": { "node_id": "node_2713", "content": "MODIFICATION: Increase 3 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 179.66 kg\n Factor of Safety: 0.06\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.65763183095092, "fos_buckling": 0.06037462835521805, "fos_yielding": 1.4761104233409974, "deflection": 0.006102364625217859, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.600)" }, "parent_node_id": "node_2712", "improvement_over_parent": null }, "node_2714": { "node_id": "node_2714", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.27 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.26868607371162, "fos_buckling": 1.568042382901926, "fos_yielding": 4.151339553292088, "deflection": 0.00145039735551354, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_2713", "improvement_over_parent": null }, "node_2715": { "node_id": "node_2715", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2714", "improvement_over_parent": null }, "node_2716": { "node_id": "node_2716", "content": "INITIAL DESIGN (Trace 394)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 212.40 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.40254403292587, "fos_buckling": 1.4759757220954848, "fos_yielding": 4.1951076006080354, "deflection": 0.0015198541117944222, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2717": { "node_id": "node_2717", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 218.56 kg\n Factor of Safety: 1.40\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.5563587712237, "fos_buckling": 1.3970423014662356, "fos_yielding": 4.195107600608034, "deflection": 0.001473981665824955, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_2716", "improvement_over_parent": null }, "node_2718": { "node_id": "node_2718", "content": "MODIFICATION: Increase 2 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 219.70 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 219.70082216874263, "fos_buckling": 1.5224261824922882, "fos_yielding": 4.195107600608034, "deflection": 0.0014706327793425642, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.312)" }, "parent_node_id": "node_2717", "improvement_over_parent": null }, "node_2719": { "node_id": "node_2719", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25522950444065, "fos_buckling": 1.5679947888055104, "fos_yielding": 4.151340471772713, "deflection": 0.0014504446485639432, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_2718", "improvement_over_parent": null }, "node_2720": { "node_id": "node_2720", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2719", "improvement_over_parent": null }, "node_2721": { "node_id": "node_2721", "content": "INITIAL DESIGN (Trace 395)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n\nPerformance:\n Mass: 147.95 kg\n Factor of Safety: 0.11\n Max Deflection: 5.80e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.9509428421653, "fos_buckling": 0.10997879792617336, "fos_yielding": 1.7933705673649594, "deflection": 0.005797356516018576, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2722": { "node_id": "node_2722", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 183.47 kg\n Factor of Safety: 1.32\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.47283181023246, "fos_buckling": 1.3165844263191937, "fos_yielding": 3.461647845101103, "deflection": 0.001791090218197933, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004677)" }, "parent_node_id": "node_2721", "improvement_over_parent": null }, "node_2723": { "node_id": "node_2723", "content": "MODIFICATION: Increase 1 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 185.93 kg\n Factor of Safety: 1.35\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.93007745496806, "fos_buckling": 1.34843530602698, "fos_yielding": 3.4595750554364173, "deflection": 0.0017375746605230826, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.218)" }, "parent_node_id": "node_2722", "improvement_over_parent": null }, "node_2724": { "node_id": "node_2724", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.34 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.3439468228579, "fos_buckling": 1.5686341156382722, "fos_yielding": 4.152953008111067, "deflection": 0.0014499150538887498, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.221)" }, "parent_node_id": "node_2723", "improvement_over_parent": null }, "node_2725": { "node_id": "node_2725", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2724", "improvement_over_parent": null }, "node_2726": { "node_id": "node_2726", "content": "INITIAL DESIGN (Trace 396)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 166.94 kg\n Factor of Safety: 1.08\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.93917036829555, "fos_buckling": 1.0806464009573573, "fos_yielding": 3.2513711301580934, "deflection": 0.0019774902113434893, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2727": { "node_id": "node_2727", "content": "MODIFICATION: Increase 1 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 170.18 kg\n Factor of Safety: 1.23\n Max Deflection: 1.89e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.1783937696793, "fos_buckling": 1.2318381422906408, "fos_yielding": 3.251371130158093, "deflection": 0.0018921705767887416, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.335)" }, "parent_node_id": "node_2726", "improvement_over_parent": null }, "node_2728": { "node_id": "node_2728", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 219.64 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 219.63799551307736, "fos_buckling": 1.5220175806086853, "fos_yielding": 4.193714323966625, "deflection": 0.001471016049742387, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_2727", "improvement_over_parent": null }, "node_2729": { "node_id": "node_2729", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.19 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.19240284877537, "fos_buckling": 1.5675432375757525, "fos_yielding": 4.1499578910048776, "deflection": 0.0014508198940792962, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_2728", "improvement_over_parent": null }, "node_2730": { "node_id": "node_2730", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2729", "improvement_over_parent": null }, "node_2731": { "node_id": "node_2731", "content": "INITIAL DESIGN (Trace 397)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0018)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0021)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n\nPerformance:\n Mass: 109.53 kg\n Factor of Safety: 0.46\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": 109.52671263080596, "fos_buckling": 0.45900914856707287, "fos_yielding": 1.6831229930733453, "deflection": 0.002992714913644406, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2732": { "node_id": "node_2732", "content": "MODIFICATION: Increase 6 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0021)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n\nPerformance:\n Mass: 116.01 kg\n Factor of Safety: 0.52\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": 116.00893714774334, "fos_buckling": 0.5223243791636255, "fos_yielding": 2.2749247169589206, "deflection": 0.0029213224092415674, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.656)" }, "parent_node_id": "node_2731", "improvement_over_parent": null }, "node_2733": { "node_id": "node_2733", "content": "MODIFICATION: Increase 7 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0031)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n\nPerformance:\n Mass: 123.46 kg\n Factor of Safety: 0.94\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": 123.45651153412791, "fos_buckling": 0.9426897480278362, "fos_yielding": 2.299420918521244, "deflection": 0.0026064894188846267, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.468)" }, "parent_node_id": "node_2732", "improvement_over_parent": null }, "node_2734": { "node_id": "node_2734", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 157.70 kg\n Factor of Safety: 1.17\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": 157.6954499316454, "fos_buckling": 1.17083903326979, "fos_yielding": 2.9353410686688526, "deflection": 0.002044991492176499, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.295)" }, "parent_node_id": "node_2733", "improvement_over_parent": null }, "node_2735": { "node_id": "node_2735", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 199.42 kg\n Factor of Safety: 1.43\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.41805760395312, "fos_buckling": 1.4295530775717162, "fos_yielding": 3.7092078067998435, "deflection": 0.0016213984461074804, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.287)" }, "parent_node_id": "node_2734", "improvement_over_parent": null }, "node_2736": { "node_id": "node_2736", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.55 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.5512596242647, "fos_buckling": 1.569578592194325, "fos_yielding": 4.156303740094308, "deflection": 0.0014485623860081753, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.133)" }, "parent_node_id": "node_2735", "improvement_over_parent": null }, "node_2737": { "node_id": "node_2737", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2736", "improvement_over_parent": null }, "node_2738": { "node_id": "node_2738", "content": "INITIAL DESIGN (Trace 398)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 138.62 kg\n Factor of Safety: 0.15\n Max Deflection: 1.14e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.6235656146132, "fos_buckling": 0.15134282101970842, "fos_yielding": 2.1625358968577, "deflection": 11377580673710.691, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2739": { "node_id": "node_2739", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 163.94 kg\n Factor of Safety: 1.45\n Max Deflection: 5.32e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.93682435672054, "fos_buckling": 1.4460987218672543, "fos_yielding": 4.193864944691293, "deflection": 5315507317647.836, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.200)" }, "parent_node_id": "node_2738", "improvement_over_parent": null }, "node_2740": { "node_id": "node_2740", "content": "MODIFICATION: Increase 1 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 167.03 kg\n Factor of Safety: 0.94\n Max Deflection: 6.64e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.02587712814153, "fos_buckling": 0.9409061712254176, "fos_yielding": 4.193864944691293, "deflection": 6641924682957.134, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.314)" }, "parent_node_id": "node_2739", "improvement_over_parent": null }, "node_2741": { "node_id": "node_2741", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 210.64 kg\n Factor of Safety: 1.35\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.63693137090223, "fos_buckling": 1.3504988700775415, "fos_yielding": 4.193864944691293, "deflection": 0.0015315086986429217, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_2740", "improvement_over_parent": null }, "node_2742": { "node_id": "node_2742", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 219.25 kg\n Factor of Safety: 1.44\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 219.2500359856629, "fos_buckling": 1.4350345912981137, "fos_yielding": 4.152370577375114, "deflection": 0.001513981044818169, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_2741", "improvement_over_parent": null }, "node_2743": { "node_id": "node_2743", "content": "MODIFICATION: Increase 1 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.15 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.1490097479221, "fos_buckling": 1.5672787454348074, "fos_yielding": 4.1488443787679365, "deflection": 0.0014511324888352066, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.314)" }, "parent_node_id": "node_2742", "improvement_over_parent": null }, "node_2744": { "node_id": "node_2744", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2743", "improvement_over_parent": null }, "node_2745": { "node_id": "node_2745", "content": "INITIAL DESIGN (Trace 399)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\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_2746": { "node_id": "node_2746", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 215.69 kg\n Factor of Safety: 1.05\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.68758439980684, "fos_buckling": 1.0534522564843816, "fos_yielding": 4.145874167157989, "deflection": 0.0015009498698792783, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_2745", "improvement_over_parent": null }, "node_2747": { "node_id": "node_2747", "content": "MODIFICATION: Increase 2 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 216.96 kg\n Factor of Safety: 1.36\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.96212964334106, "fos_buckling": 1.3583662970077925, "fos_yielding": 4.139029654430784, "deflection": 0.0014971515813147788, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.613)" }, "parent_node_id": "node_2746", "improvement_over_parent": null }, "node_2748": { "node_id": "node_2748", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 222.14 kg\n Factor of Safety: 1.56\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 222.13647252006973, "fos_buckling": 1.5626841543593932, "fos_yielding": 4.1545254138135395, "deflection": 0.0014546570911299153, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_2747", "improvement_over_parent": null }, "node_2749": { "node_id": "node_2749", "content": "MODIFICATION: Increase 5 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0071)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 228.75 kg\n Factor of Safety: 1.36\n Max Deflection: 1.44e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 228.74916927711175, "fos_buckling": 1.3578309585179202, "fos_yielding": 4.158663206225509, "deflection": 0.0014432203629066132, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.245)" }, "parent_node_id": "node_2748", "improvement_over_parent": null }, "node_2750": { "node_id": "node_2750", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2749", "improvement_over_parent": null }, "node_2751": { "node_id": "node_2751", "content": "INITIAL DESIGN (Trace 400)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 172.06 kg\n Factor of Safety: 1.20\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.05624408713248, "fos_buckling": 1.197586095436109, "fos_yielding": 3.5342506441960406, "deflection": 0.0021047298209787057, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2752": { "node_id": "node_2752", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n\nPerformance:\n Mass: 176.62 kg\n Factor of Safety: 0.94\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.62103857631047, "fos_buckling": 0.9359040089649779, "fos_yielding": 3.7037133832043168, "deflection": 0.001948504609343912, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002072)" }, "parent_node_id": "node_2751", "improvement_over_parent": null }, "node_2753": { "node_id": "node_2753", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 200.38 kg\n Factor of Safety: 1.04\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.3793229519773, "fos_buckling": 1.0389647205914416, "fos_yielding": 4.197997403822078, "deflection": 0.0017181543917336643, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.147)" }, "parent_node_id": "node_2752", "improvement_over_parent": null }, "node_2754": { "node_id": "node_2754", "content": "MODIFICATION: Increase 1 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 203.47 kg\n Factor of Safety: 1.29\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.47443480600398, "fos_buckling": 1.288472344181886, "fos_yielding": 4.197997403822078, "deflection": 0.0016303523227363804, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.340)" }, "parent_node_id": "node_2753", "improvement_over_parent": null }, "node_2755": { "node_id": "node_2755", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 212.09 kg\n Factor of Safety: 1.32\n Max Deflection: 1.60e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.08753942076464, "fos_buckling": 1.322282464325281, "fos_yielding": 4.139426433745422, "deflection": 0.001601151935564595, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_2754", "improvement_over_parent": null }, "node_2756": { "node_id": "node_2756", "content": "MODIFICATION: Increase 7 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0037)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 214.24 kg\n Factor of Safety: 1.28\n Max Deflection: 1.60e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.2364711864098, "fos_buckling": 1.2790166305533681, "fos_yielding": 4.140315599264561, "deflection": 0.0015974362257003098, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.192)" }, "parent_node_id": "node_2755", "improvement_over_parent": null }, "node_2757": { "node_id": "node_2757", "content": "MODIFICATION: Increase 1 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0037)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 218.97 kg\n Factor of Safety: 1.25\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.97312826922376, "fos_buckling": 1.2467491538154694, "fos_yielding": 4.135651336850117, "deflection": 0.0015174726590515678, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.406)" }, "parent_node_id": "node_2756", "improvement_over_parent": null }, "node_2758": { "node_id": "node_2758", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2757", "improvement_over_parent": null }, "node_2759": { "node_id": "node_2759", "content": "INITIAL DESIGN (Trace 401)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 169.83 kg\n Factor of Safety: 0.96\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.83216169379025, "fos_buckling": 0.9570272423971375, "fos_yielding": 3.784516623715836, "deflection": 0.0019621455738138014, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2760": { "node_id": "node_2760", "content": "MODIFICATION: Increase 8 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 182.21 kg\n Factor of Safety: 1.34\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.2084888480327, "fos_buckling": 1.3405617676469999, "fos_yielding": 3.784516623715836, "deflection": 0.0017082425455190078, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.515)" }, "parent_node_id": "node_2759", "improvement_over_parent": null }, "node_2761": { "node_id": "node_2761", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n\nPerformance:\n Mass: 189.97 kg\n Factor of Safety: 1.24\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.97310926770325, "fos_buckling": 1.2385546875746722, "fos_yielding": 3.732588916056051, "deflection": 0.0016567699583655245, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002290)" }, "parent_node_id": "node_2760", "improvement_over_parent": null }, "node_2762": { "node_id": "node_2762", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 210.72 kg\n Factor of Safety: 1.34\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.71736053778847, "fos_buckling": 1.3393626793370694, "fos_yielding": 4.138536055980875, "deflection": 0.001495811063889623, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.120)" }, "parent_node_id": "node_2761", "improvement_over_parent": null }, "node_2763": { "node_id": "node_2763", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.27 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.26571815788472, "fos_buckling": 1.5679159263942406, "fos_yielding": 4.151642290620664, "deflection": 0.0014504015866786582, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_2762", "improvement_over_parent": null }, "node_2764": { "node_id": "node_2764", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2763", "improvement_over_parent": null }, "node_2765": { "node_id": "node_2765", "content": "INITIAL DESIGN (Trace 402)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n\nPerformance:\n Mass: 143.70 kg\n Factor of Safety: 0.07\n Max Deflection: 1.05e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.69813124916607, "fos_buckling": 0.07219946013521047, "fos_yielding": 2.0856856396707975, "deflection": 10544059862778.56, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2766": { "node_id": "node_2766", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 182.16 kg\n Factor of Safety: 1.06\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.16209050994192, "fos_buckling": 1.061719373123136, "fos_yielding": 3.002036351708923, "deflection": 0.0016838342881646698, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005098)" }, "parent_node_id": "node_2765", "improvement_over_parent": null }, "node_2767": { "node_id": "node_2767", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n\nPerformance:\n Mass: 187.71 kg\n Factor of Safety: 1.06\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.71215714709757, "fos_buckling": 1.0617193731231354, "fos_yielding": 3.002036351708921, "deflection": 0.0016570787033046905, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002292)" }, "parent_node_id": "node_2766", "improvement_over_parent": null }, "node_2768": { "node_id": "node_2768", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 208.28 kg\n Factor of Safety: 1.17\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.2812568462465, "fos_buckling": 1.1678057050790351, "fos_yielding": 3.3406388756183976, "deflection": 0.001496172956200805, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.120)" }, "parent_node_id": "node_2767", "improvement_over_parent": null }, "node_2769": { "node_id": "node_2769", "content": "MODIFICATION: Increase 5 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0088)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 228.08 kg\n Factor of Safety: 1.17\n Max Deflection: 1.37e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 228.07760767934312, "fos_buckling": 1.167805705079035, "fos_yielding": 3.3406388756183967, "deflection": 0.0013723962424073608, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.527)" }, "parent_node_id": "node_2768", "improvement_over_parent": null }, "node_2770": { "node_id": "node_2770", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0088)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 233.25 kg\n Factor of Safety: 1.15\n Max Deflection: 1.35e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 233.2519505560718, "fos_buckling": 1.1538898788544438, "fos_yielding": 3.300831097774845, "deflection": 0.0013538825151262627, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_2769", "improvement_over_parent": null }, "node_2771": { "node_id": "node_2771", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2770", "improvement_over_parent": null }, "node_2772": { "node_id": "node_2772", "content": "INITIAL DESIGN (Trace 403)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 164.16 kg\n Factor of Safety: 0.06\n Max Deflection: 6.46e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.16293821657246, "fos_buckling": 0.06042710362604622, "fos_yielding": 1.4773934009153087, "deflection": 0.0064634283963900105, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2773": { "node_id": "node_2773", "content": "MODIFICATION: Increase 8 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 167.99 kg\n Factor of Safety: 0.06\n Max Deflection: 6.45e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.98780843355945, "fos_buckling": 0.060402610872304904, "fos_yielding": 1.4767945730619731, "deflection": 0.006447029322032804, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.481)" }, "parent_node_id": "node_2772", "improvement_over_parent": null }, "node_2774": { "node_id": "node_2774", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 211.60 kg\n Factor of Safety: 1.18\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.59886267632015, "fos_buckling": 1.1762289982964822, "fos_yielding": 3.3719550680080546, "deflection": 0.0014859140218552525, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_2773", "improvement_over_parent": null }, "node_2775": { "node_id": "node_2775", "content": "MODIFICATION: Increase 6 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 221.09 kg\n Factor of Safety: 1.41\n Max Deflection: 1.46e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.09396511751638, "fos_buckling": 1.4077765776181246, "fos_yielding": 4.158525271190642, "deflection": 0.0014599911344122692, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.497)" }, "parent_node_id": "node_2774", "improvement_over_parent": null }, "node_2776": { "node_id": "node_2776", "content": "MODIFICATION: Increase 5 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.28 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.27883275377238, "fos_buckling": 1.5681085587128845, "fos_yielding": 4.151345980966487, "deflection": 0.001450370560825771, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.603)" }, "parent_node_id": "node_2775", "improvement_over_parent": null }, "node_2777": { "node_id": "node_2777", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2776", "improvement_over_parent": null }, "node_2778": { "node_id": "node_2778", "content": "INITIAL DESIGN (Trace 404)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n\nPerformance:\n Mass: 101.21 kg\n Factor of Safety: 0.05\n Max Deflection: 1.59e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 101.21197885693017, "fos_buckling": 0.05246945231038654, "fos_yielding": 0.7350356306986765, "deflection": 15886227110493.127, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2779": { "node_id": "node_2779", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n\nPerformance:\n Mass: 102.96 kg\n Factor of Safety: 0.03\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 102.96406115130377, "fos_buckling": 0.03269833170950664, "fos_yielding": 0.7324695465643438, "deflection": 0.016815585700288536, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.000926)" }, "parent_node_id": "node_2778", "improvement_over_parent": null }, "node_2780": { "node_id": "node_2780", "content": "MODIFICATION: Increase 5 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0054)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n\nPerformance:\n Mass: 108.67 kg\n Factor of Safety: 0.03\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 108.67075981466284, "fos_buckling": 0.03269833170950664, "fos_yielding": 0.7324695465643438, "deflection": 0.016660288140171845, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.266)" }, "parent_node_id": "node_2779", "improvement_over_parent": null }, "node_2781": { "node_id": "node_2781", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0054)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 141.52 kg\n Factor of Safety: 0.03\n Max Deflection: 9.16e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.5222588597185, "fos_buckling": 0.03258417423686303, "fos_yielding": 0.7299123252061702, "deflection": 0.009162031647020905, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004300)" }, "parent_node_id": "node_2780", "improvement_over_parent": null }, "node_2782": { "node_id": "node_2782", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0054)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0043)]\n\nPerformance:\n Mass: 175.11 kg\n Factor of Safety: 1.05\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.1109779804192, "fos_buckling": 1.0478281141819565, "fos_yielding": 3.209500666674299, "deflection": 0.0018721597419820765, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004348)" }, "parent_node_id": "node_2781", "improvement_over_parent": null }, "node_2783": { "node_id": "node_2783", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0072)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 227.25 kg\n Factor of Safety: 1.31\n Max Deflection: 1.45e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 227.25418485685333, "fos_buckling": 1.3094452396598557, "fos_yielding": 4.164648187547313, "deflection": 0.0014461163470101293, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.328)" }, "parent_node_id": "node_2782", "improvement_over_parent": null }, "node_2784": { "node_id": "node_2784", "content": "MODIFICATION: Increase 2 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0032)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0072)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 229.58 kg\n Factor of Safety: 1.32\n Max Deflection: 1.44e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 229.5794223105366, "fos_buckling": 1.3183793743137286, "fos_yielding": 4.166248487799947, "deflection": 0.0014413208431155384, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.603)" }, "parent_node_id": "node_2783", "improvement_over_parent": null }, "node_2785": { "node_id": "node_2785", "content": "MODIFICATION: Increase 3 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0032)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0073)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0072)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 235.79 kg\n Factor of Safety: 1.15\n Max Deflection: 1.43e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 235.79383775789978, "fos_buckling": 1.1457810088696225, "fos_yielding": 4.885038916077839, "deflection": 0.001434362788915291, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.199)" }, "parent_node_id": "node_2784", "improvement_over_parent": null }, "node_2786": { "node_id": "node_2786", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2785", "improvement_over_parent": null }, "node_2787": { "node_id": "node_2787", "content": "INITIAL DESIGN (Trace 405)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 140.98 kg\n Factor of Safety: 1.06\n Max Deflection: 2.29e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.98021813471325, "fos_buckling": 1.0613190379064519, "fos_yielding": 2.625287016980342, "deflection": 0.00228504732843788, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2788": { "node_id": "node_2788", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 156.09 kg\n Factor of Safety: 1.16\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.09337783343275, "fos_buckling": 1.1605578909908392, "fos_yielding": 2.905934049474829, "deflection": 0.0020657792206743644, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.114)" }, "parent_node_id": "node_2787", "improvement_over_parent": null }, "node_2789": { "node_id": "node_2789", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 194.46 kg\n Factor of Safety: 1.40\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.4597464419199, "fos_buckling": 1.399995765124742, "fos_yielding": 3.6177059000233704, "deflection": 0.0016622273588377079, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.266)" }, "parent_node_id": "node_2788", "improvement_over_parent": null }, "node_2790": { "node_id": "node_2790", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.31 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.31061381604152, "fos_buckling": 1.5683033892396716, "fos_yielding": 4.15230411059903, "deflection": 0.0014501068559186607, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.163)" }, "parent_node_id": "node_2789", "improvement_over_parent": null }, "node_2791": { "node_id": "node_2791", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2790", "improvement_over_parent": null }, "node_2792": { "node_id": "node_2792", "content": "INITIAL DESIGN (Trace 406)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 192.26 kg\n Factor of Safety: 0.76\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.25640941676812, "fos_buckling": 0.7567533143659506, "fos_yielding": 4.096755105057072, "deflection": 0.0017278133776861054, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2793": { "node_id": "node_2793", "content": "MODIFICATION: Increase 8 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 194.44 kg\n Factor of Safety: 0.66\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.4373712520253, "fos_buckling": 0.663754223889726, "fos_yielding": 4.082840159330704, "deflection": 0.0017166361109252361, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.372)" }, "parent_node_id": "node_2792", "improvement_over_parent": null }, "node_2794": { "node_id": "node_2794", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 206.99 kg\n Factor of Safety: 0.73\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.98572887212154, "fos_buckling": 0.7334312263935494, "fos_yielding": 4.093161034037197, "deflection": 0.0016800500386996574, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_2793", "improvement_over_parent": null }, "node_2795": { "node_id": "node_2795", "content": "MODIFICATION: Increase 7 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.27 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.26799258610168, "fos_buckling": 1.5680106937723028, "fos_yielding": 4.151354863221337, "deflection": 0.00145036841112239, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.653)" }, "parent_node_id": "node_2794", "improvement_over_parent": null }, "node_2796": { "node_id": "node_2796", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2795", "improvement_over_parent": null }, "node_2797": { "node_id": "node_2797", "content": "INITIAL DESIGN (Trace 407)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 141.46 kg\n Factor of Safety: 0.15\n Max Deflection: 1.05e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.46300589678705, "fos_buckling": 0.1518147712705113, "fos_yielding": 2.2051068920960297, "deflection": 10497043197238.287, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2798": { "node_id": "node_2798", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n\nPerformance:\n Mass: 177.55 kg\n Factor of Safety: 1.25\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.552692187092, "fos_buckling": 1.2469207232777217, "fos_yielding": 3.473747421131898, "deflection": 0.001867282418547536, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004697)" }, "parent_node_id": "node_2797", "improvement_over_parent": null }, "node_2799": { "node_id": "node_2799", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n\nPerformance:\n Mass: 181.84 kg\n Factor of Safety: 1.30\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.83570097559394, "fos_buckling": 1.3028733818452687, "fos_yielding": 3.4737474211318986, "deflection": 0.0017723454413883656, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001934)" }, "parent_node_id": "node_2798", "improvement_over_parent": null }, "node_2800": { "node_id": "node_2800", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n\nPerformance:\n Mass: 184.78 kg\n Factor of Safety: 1.34\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.77830067298402, "fos_buckling": 1.3412756482482324, "fos_yielding": 3.43821930620754, "deflection": 0.0017482706685230617, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001603)" }, "parent_node_id": "node_2799", "improvement_over_parent": null }, "node_2801": { "node_id": "node_2801", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.31 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.3088329703934, "fos_buckling": 1.5683089914814083, "fos_yielding": 4.152308471210218, "deflection": 0.001450133513087501, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.229)" }, "parent_node_id": "node_2800", "improvement_over_parent": null }, "node_2802": { "node_id": "node_2802", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2801", "improvement_over_parent": null }, "node_2803": { "node_id": "node_2803", "content": "INITIAL DESIGN (Trace 408)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 202.92 kg\n Factor of Safety: 1.46\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.9207007788394, "fos_buckling": 1.4588268153591823, "fos_yielding": 4.19645566016795, "deflection": 0.0017160818105106572, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2804": { "node_id": "node_2804", "content": "MODIFICATION: Increase 1 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 209.47 kg\n Factor of Safety: 1.46\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.46968945102824, "fos_buckling": 1.4578180345628031, "fos_yielding": 4.19645566016795, "deflection": 0.0015497789539218013, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.653)" }, "parent_node_id": "node_2803", "improvement_over_parent": null }, "node_2805": { "node_id": "node_2805", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n\nPerformance:\n Mass: 213.61 kg\n Factor of Safety: 1.43\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.61268002389073, "fos_buckling": 1.429405098544232, "fos_yielding": 4.19645566016795, "deflection": 0.0014731160024557205, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001866)" }, "parent_node_id": "node_2804", "improvement_over_parent": null }, "node_2806": { "node_id": "node_2806", "content": "MODIFICATION: Increase 3 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0078)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n\nPerformance:\n Mass: 222.04 kg\n Factor of Safety: 1.43\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 222.0408605794706, "fos_buckling": 1.429405098544232, "fos_yielding": 4.791801282504901, "deflection": 0.0014731160024557205, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.272)" }, "parent_node_id": "node_2805", "improvement_over_parent": null }, "node_2807": { "node_id": "node_2807", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0078)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 230.65 kg\n Factor of Safety: 1.13\n Max Deflection: 1.44e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 230.65396519423126, "fos_buckling": 1.1270378364061704, "fos_yielding": 4.809882414386158, "deflection": 0.0014414697425556109, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_2806", "improvement_over_parent": null }, "node_2808": { "node_id": "node_2808", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2807", "improvement_over_parent": null }, "node_2809": { "node_id": "node_2809", "content": "INITIAL DESIGN (Trace 409)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 121.71 kg\n Factor of Safety: 0.75\n Max Deflection: 4.41e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.71335094367424, "fos_buckling": 0.745626599830715, "fos_yielding": 2.1625358968577, "deflection": 4407057087495.962, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2810": { "node_id": "node_2810", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n\nPerformance:\n Mass: 126.26 kg\n Factor of Safety: 0.62\n Max Deflection: 3.93e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.2556909808318, "fos_buckling": 0.6167968420119896, "fos_yielding": 3.0997037835168624, "deflection": 3930565035219.508, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001847)" }, "parent_node_id": "node_2809", "improvement_over_parent": null }, "node_2811": { "node_id": "node_2811", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 148.65 kg\n Factor of Safety: 0.30\n Max Deflection: 4.96e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.65283269773803, "fos_buckling": 0.30144430529590327, "fos_yielding": 2.1625358968577, "deflection": 4960386229395.665, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.192)" }, "parent_node_id": "node_2810", "improvement_over_parent": null }, "node_2812": { "node_id": "node_2812", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n\nPerformance:\n Mass: 186.57 kg\n Factor of Safety: 1.36\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.56567018097383, "fos_buckling": 1.3583570625861954, "fos_yielding": 3.6484038679388733, "deflection": 0.0016881446260469096, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004954)" }, "parent_node_id": "node_2811", "improvement_over_parent": null }, "node_2813": { "node_id": "node_2813", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 194.05 kg\n Factor of Safety: 1.40\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.05497392536688, "fos_buckling": 1.397472377799979, "fos_yielding": 3.6099249133489577, "deflection": 0.0016656370599351176, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002202)" }, "parent_node_id": "node_2812", "improvement_over_parent": null }, "node_2814": { "node_id": "node_2814", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.38 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.3752606355938, "fos_buckling": 1.5685725255232321, "fos_yielding": 4.153187661283123, "deflection": 0.0014496803877681655, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.166)" }, "parent_node_id": "node_2813", "improvement_over_parent": null }, "node_2815": { "node_id": "node_2815", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2814", "improvement_over_parent": null }, "node_2816": { "node_id": "node_2816", "content": "INITIAL DESIGN (Trace 410)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 145.91 kg\n Factor of Safety: 1.06\n Max Deflection: 2.25e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.9084774240919, "fos_buckling": 1.0599399035463988, "fos_yielding": 2.8282060610217497, "deflection": 0.0022549729939127273, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2817": { "node_id": "node_2817", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 178.30 kg\n Factor of Safety: 1.26\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.30050546936906, "fos_buckling": 1.2605797564548997, "fos_yielding": 3.453724459145393, "deflection": 0.001848094393039315, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.239)" }, "parent_node_id": "node_2816", "improvement_over_parent": null }, "node_2818": { "node_id": "node_2818", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 216.95 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.94776506182336, "fos_buckling": 1.4836388735311246, "fos_yielding": 4.198924801637845, "deflection": 0.0015216037351434364, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.238)" }, "parent_node_id": "node_2817", "improvement_over_parent": null }, "node_2819": { "node_id": "node_2819", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.10 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.1015798001212, "fos_buckling": 1.5671120752767955, "fos_yielding": 4.148323833111148, "deflection": 0.0014514628381577322, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_2818", "improvement_over_parent": null }, "node_2820": { "node_id": "node_2820", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2819", "improvement_over_parent": null }, "node_2821": { "node_id": "node_2821", "content": "INITIAL DESIGN (Trace 411)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 158.08 kg\n Factor of Safety: 0.97\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.0756908034192, "fos_buckling": 0.9714034489684437, "fos_yielding": 2.7205245840679004, "deflection": 0.002007452563187267, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2822": { "node_id": "node_2822", "content": "MODIFICATION: Increase 4 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 159.75 kg\n Factor of Safety: 0.97\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.75003353939846, "fos_buckling": 0.9714034489684436, "fos_yielding": 2.7205245840679, "deflection": 0.0019997033485752475, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.511)" }, "parent_node_id": "node_2821", "improvement_over_parent": null }, "node_2823": { "node_id": "node_2823", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n\nPerformance:\n Mass: 164.13 kg\n Factor of Safety: 0.95\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.13141473236925, "fos_buckling": 0.9495652046215624, "fos_yielding": 2.6593641252681475, "deflection": 0.0019199231558563814, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001982)" }, "parent_node_id": "node_2822", "improvement_over_parent": null }, "node_2824": { "node_id": "node_2824", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 171.42 kg\n Factor of Safety: 0.95\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.42248460086978, "fos_buckling": 0.9520331555717088, "fos_yielding": 2.6662758994020326, "deflection": 0.001895401449819853, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002139)" }, "parent_node_id": "node_2823", "improvement_over_parent": null }, "node_2825": { "node_id": "node_2825", "content": "MODIFICATION: Increase 10 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0029)]\n\nPerformance:\n Mass: 173.62 kg\n Factor of Safety: 0.95\n Max Deflection: 1.89e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.62147003219263, "fos_buckling": 0.9522911118357117, "fos_yielding": 2.6669983349241417, "deflection": 0.0018927332055632365, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.335)" }, "parent_node_id": "node_2824", "improvement_over_parent": null }, "node_2826": { "node_id": "node_2826", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0034)]\n\nPerformance:\n Mass: 205.26 kg\n Factor of Safety: 1.11\n Max Deflection: 1.60e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.26026370583534, "fos_buckling": 1.1108030349342468, "fos_yielding": 3.1655527643535804, "deflection": 0.0016029493682950694, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.199)" }, "parent_node_id": "node_2825", "improvement_over_parent": null }, "node_2827": { "node_id": "node_2827", "content": "MODIFICATION: Increase 6 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0091)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0034)]\n\nPerformance:\n Mass: 226.99 kg\n Factor of Safety: 1.11\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 226.99078898418, "fos_buckling": 1.1079606308989591, "fos_yielding": 3.1574525164533327, "deflection": 0.0014673532470275378, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.582)" }, "parent_node_id": "node_2826", "improvement_over_parent": null }, "node_2828": { "node_id": "node_2828", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2827", "improvement_over_parent": null }, "node_2829": { "node_id": "node_2829", "content": "INITIAL DESIGN (Trace 412)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 183.20 kg\n Factor of Safety: 1.33\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.19740811027071, "fos_buckling": 1.327241404178225, "fos_yielding": 3.7384046683595926, "deflection": 0.0017371834467067209, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2830": { "node_id": "node_2830", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n\nPerformance:\n Mass: 186.36 kg\n Factor of Safety: 1.28\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.36491367063968, "fos_buckling": 1.278905692512872, "fos_yielding": 3.690195727500334, "deflection": 0.0016774544298302136, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001736)" }, "parent_node_id": "node_2829", "improvement_over_parent": null }, "node_2831": { "node_id": "node_2831", "content": "MODIFICATION: Increase 5 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0068)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n\nPerformance:\n Mass: 194.96 kg\n Factor of Safety: 1.28\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.956445680124, "fos_buckling": 1.278905692512872, "fos_yielding": 3.690195727500334, "deflection": 0.0016774544298302136, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.355)" }, "parent_node_id": "node_2830", "improvement_over_parent": null }, "node_2832": { "node_id": "node_2832", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0068)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n\nPerformance:\n Mass: 202.15 kg\n Factor of Safety: 1.26\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.14519973525964, "fos_buckling": 1.2578725024548034, "fos_yielding": 3.7060295822514466, "deflection": 0.0016260381621850891, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.001704)" }, "parent_node_id": "node_2831", "improvement_over_parent": null }, "node_2833": { "node_id": "node_2833", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0077)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n\nPerformance:\n Mass: 226.86 kg\n Factor of Safety: 1.40\n Max Deflection: 1.45e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 226.85682710952554, "fos_buckling": 1.4041954144341606, "fos_yielding": 4.159416683955062, "deflection": 0.0014502962599991804, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.135)" }, "parent_node_id": "node_2832", "improvement_over_parent": null }, "node_2834": { "node_id": "node_2834", "content": "MODIFICATION: Increase 9 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0077)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0032)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n\nPerformance:\n Mass: 228.69 kg\n Factor of Safety: 1.37\n Max Deflection: 1.45e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 228.68876823917876, "fos_buckling": 1.372179237081834, "fos_yielding": 4.155625614633333, "deflection": 0.0014489787533249554, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.603)" }, "parent_node_id": "node_2833", "improvement_over_parent": null }, "node_2835": { "node_id": "node_2835", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2834", "improvement_over_parent": null }, "node_2836": { "node_id": "node_2836", "content": "INITIAL DESIGN (Trace 413)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n\nPerformance:\n Mass: 88.04 kg\n Factor of Safety: 0.22\n Max Deflection: 5.46e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 88.04401876571305, "fos_buckling": 0.21553519069040294, "fos_yielding": 1.183792579531005, "deflection": 54631937202830.484, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2837": { "node_id": "node_2837", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n\nPerformance:\n Mass: 91.44 kg\n Factor of Safety: 0.04\n Max Deflection: 5.01e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 91.43541221666864, "fos_buckling": 0.039791414959438935, "fos_yielding": 0.5512767230240074, "deflection": 50051147754123.445, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001356)" }, "parent_node_id": "node_2836", "improvement_over_parent": null }, "node_2838": { "node_id": "node_2838", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0031)]\n\nPerformance:\n Mass: 115.48 kg\n Factor of Safety: 0.87\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": 115.47563096814608, "fos_buckling": 0.8749109765140749, "fos_yielding": 2.315943120948679, "deflection": 0.0027750947495498624, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003051)" }, "parent_node_id": "node_2837", "improvement_over_parent": null }, "node_2839": { "node_id": "node_2839", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n\nPerformance:\n Mass: 135.24 kg\n Factor of Safety: 1.01\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": 135.23923452675385, "fos_buckling": 1.0070061369319332, "fos_yielding": 2.7116876604606452, "deflection": 0.0023760325713177077, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_2838", "improvement_over_parent": null }, "node_2840": { "node_id": "node_2840", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n\nPerformance:\n Mass: 167.35 kg\n Factor of Safety: 1.21\n Max Deflection: 1.93e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.35003402811003, "fos_buckling": 1.2107698553305897, "fos_yielding": 3.3542806059731713, "deflection": 0.0019286386274224388, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.255)" }, "parent_node_id": "node_2839", "improvement_over_parent": null }, "node_2841": { "node_id": "node_2841", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 174.23 kg\n Factor of Safety: 1.12\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.2258787158077, "fos_buckling": 1.1164805940213351, "fos_yielding": 3.3083912524576897, "deflection": 0.0018676576380026164, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002008)" }, "parent_node_id": "node_2840", "improvement_over_parent": null }, "node_2842": { "node_id": "node_2842", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 218.18 kg\n Factor of Safety: 1.32\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.18170611210545, "fos_buckling": 1.3248171158794795, "fos_yielding": 4.139594099484039, "deflection": 0.0014959395343928175, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.277)" }, "parent_node_id": "node_2841", "improvement_over_parent": null }, "node_2843": { "node_id": "node_2843", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 223.36 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.35604898883412, "fos_buckling": 1.5686022896706238, "fos_yielding": 4.153338507452746, "deflection": 0.0014497695980564519, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_2842", "improvement_over_parent": null }, "node_2844": { "node_id": "node_2844", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2843", "improvement_over_parent": null }, "node_2845": { "node_id": "node_2845", "content": "INITIAL DESIGN (Trace 414)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0027)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0028)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 135.54 kg\n Factor of Safety: 0.82\n Max Deflection: 2.34e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.5385079412011, "fos_buckling": 0.8162912461035192, "fos_yielding": 1.9583727200895538, "deflection": 0.0023389028202461617, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2846": { "node_id": "node_2846", "content": "MODIFICATION: Increase 6 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0027)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 143.57 kg\n Factor of Safety: 0.82\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": 143.57131294327237, "fos_buckling": 0.8162912461035192, "fos_yielding": 1.9583727200895538, "deflection": 0.0021991980149867036, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.381)" }, "parent_node_id": "node_2845", "improvement_over_parent": null }, "node_2847": { "node_id": "node_2847", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0027)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n\nPerformance:\n Mass: 146.05 kg\n Factor of Safety: 0.82\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": 146.05351021846346, "fos_buckling": 0.8189875825268412, "fos_yielding": 1.9648415285213767, "deflection": 0.0021919576393858785, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001336)" }, "parent_node_id": "node_2846", "improvement_over_parent": null }, "node_2848": { "node_id": "node_2848", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0035)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n\nPerformance:\n Mass: 185.56 kg\n Factor of Safety: 1.02\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.56212755378124, "fos_buckling": 1.023202317415092, "fos_yielding": 2.5081457891660848, "deflection": 0.0017171447597777046, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.292)" }, "parent_node_id": "node_2847", "improvement_over_parent": null }, "node_2849": { "node_id": "node_2849", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 209.32 kg\n Factor of Safety: 1.14\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.32413561014718, "fos_buckling": 1.1424068102318203, "fos_yielding": 2.837837669357894, "deflection": 0.0015176517829504853, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.140)" }, "parent_node_id": "node_2848", "improvement_over_parent": null }, "node_2850": { "node_id": "node_2850", "content": "MODIFICATION: Increase 8 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 213.89 kg\n Factor of Safety: 1.14\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.89094258781864, "fos_buckling": 1.1427721604684236, "fos_yielding": 2.838745231055404, "deflection": 0.0015171665817378878, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.418)" }, "parent_node_id": "node_2849", "improvement_over_parent": null }, "node_2851": { "node_id": "node_2851", "content": "MODIFICATION: Increase 4 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0039)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 216.69 kg\n Factor of Safety: 1.14\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.6920714248869, "fos_buckling": 1.1419018212437633, "fos_yielding": 2.836583232882127, "deflection": 0.0015183229417347495, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.529)" }, "parent_node_id": "node_2850", "improvement_over_parent": null }, "node_2852": { "node_id": "node_2852", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2851", "improvement_over_parent": null }, "node_2853": { "node_id": "node_2853", "content": "INITIAL DESIGN (Trace 415)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n\nPerformance:\n Mass: 93.04 kg\n Factor of Safety: 1.14\n Max Deflection: 2.22e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 93.04262065744624, "fos_buckling": 1.13591530915717, "fos_yielding": 1.08126794842885, "deflection": 22229748839216.387, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2854": { "node_id": "node_2854", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n\nPerformance:\n Mass: 115.67 kg\n Factor of Safety: 0.17\n Max Deflection: 1.18e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.67496058615045, "fos_buckling": 0.16904451646571952, "fos_yielding": 2.1625358968577, "deflection": 11841138123143.596, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.258)" }, "parent_node_id": "node_2853", "improvement_over_parent": null }, "node_2855": { "node_id": "node_2855", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 144.53 kg\n Factor of Safety: 1.06\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": 144.5264282829017, "fos_buckling": 1.0578630470193398, "fos_yielding": 2.8420295767961914, "deflection": 0.002239138315942757, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.003744)" }, "parent_node_id": "node_2854", "improvement_over_parent": null }, "node_2856": { "node_id": "node_2856", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 181.21 kg\n Factor of Safety: 1.29\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.20794396430594, "fos_buckling": 1.2867404124799358, "fos_yielding": 3.56164519131914, "deflection": 0.0017888405762520251, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.274)" }, "parent_node_id": "node_2855", "improvement_over_parent": null }, "node_2857": { "node_id": "node_2857", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n\nPerformance:\n Mass: 184.22 kg\n Factor of Safety: 1.30\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.22358007553376, "fos_buckling": 1.2954923135631602, "fos_yielding": 3.5684646228143873, "deflection": 0.001789272472085892, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001646)" }, "parent_node_id": "node_2856", "improvement_over_parent": null }, "node_2858": { "node_id": "node_2858", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 217.10 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.09721644391777, "fos_buckling": 1.4840118370992605, "fos_yielding": 4.202327327924025, "deflection": 0.0015206535573779494, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.196)" }, "parent_node_id": "node_2857", "improvement_over_parent": null }, "node_2859": { "node_id": "node_2859", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.25 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.2510311822156, "fos_buckling": 1.5675287094994061, "fos_yielding": 4.151676360456442, "deflection": 0.0014505402839452856, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_2858", "improvement_over_parent": null }, "node_2860": { "node_id": "node_2860", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2859", "improvement_over_parent": null }, "node_2861": { "node_id": "node_2861", "content": "INITIAL DESIGN (Trace 416)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0006)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0023)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n\nPerformance:\n Mass: 107.48 kg\n Factor of Safety: 0.52\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": 107.47540263245793, "fos_buckling": 0.5197182522311644, "fos_yielding": 2.0690431770484454, "deflection": 0.003033292288551354, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2862": { "node_id": "node_2862", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0007)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0029)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n\nPerformance:\n Mass: 131.28 kg\n Factor of Safety: 0.63\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": 131.28173094432833, "fos_buckling": 0.6257957767466836, "fos_yielding": 2.5255808183537516, "deflection": 0.002486479365704259, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.233)" }, "parent_node_id": "node_2861", "improvement_over_parent": null }, "node_2863": { "node_id": "node_2863", "content": "MODIFICATION: Increase 7 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0007)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n\nPerformance:\n Mass: 135.12 kg\n Factor of Safety: 0.89\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": 135.1200001093068, "fos_buckling": 0.8934777109354417, "fos_yielding": 2.534769788034088, "deflection": 0.0023732543823157147, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.178)" }, "parent_node_id": "node_2862", "improvement_over_parent": null }, "node_2864": { "node_id": "node_2864", "content": "MODIFICATION: Increase 2 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n\nPerformance:\n Mass: 135.93 kg\n Factor of Safety: 1.03\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": 135.93056493312298, "fos_buckling": 1.0274687992526592, "fos_yielding": 2.5312983359885672, "deflection": 0.002369065708640973, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.631)" }, "parent_node_id": "node_2863", "improvement_over_parent": null }, "node_2865": { "node_id": "node_2865", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 160.56 kg\n Factor of Safety: 1.19\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": 160.55599403612055, "fos_buckling": 1.1892499121341944, "fos_yielding": 2.988559622414223, "deflection": 0.0020088346471032366, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.193)" }, "parent_node_id": "node_2864", "improvement_over_parent": null }, "node_2866": { "node_id": "node_2866", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 199.48 kg\n Factor of Safety: 1.43\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.47818925078153, "fos_buckling": 1.429905960297982, "fos_yielding": 3.7104743127717756, "deflection": 0.0016208484287463202, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.263)" }, "parent_node_id": "node_2865", "improvement_over_parent": null }, "node_2867": { "node_id": "node_2867", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.2589781156526, "fos_buckling": 1.5679181748469384, "fos_yielding": 4.151059174465977, "deflection": 0.0014503726397266231, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.131)" }, "parent_node_id": "node_2866", "improvement_over_parent": null }, "node_2868": { "node_id": "node_2868", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2867", "improvement_over_parent": null }, "node_2869": { "node_id": "node_2869", "content": "INITIAL DESIGN (Trace 417)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 139.38 kg\n Factor of Safety: 0.22\n Max Deflection: 1.75e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.3776680397604, "fos_buckling": 0.216388147001614, "fos_yielding": 1.2570036710166101, "deflection": 17485582444582.137, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2870": { "node_id": "node_2870", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n\nPerformance:\n Mass: 177.66 kg\n Factor of Safety: 1.15\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.66453074508954, "fos_buckling": 1.1537893527297298, "fos_yielding": 2.870750150491743, "deflection": 0.001745217371263046, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005007)" }, "parent_node_id": "node_2869", "improvement_over_parent": null }, "node_2871": { "node_id": "node_2871", "content": "MODIFICATION: Increase 3 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n\nPerformance:\n Mass: 178.81 kg\n Factor of Safety: 1.15\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.81193272175543, "fos_buckling": 1.1537893527297298, "fos_yielding": 2.870750150491743, "deflection": 0.00174077717113678, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.366)" }, "parent_node_id": "node_2870", "improvement_over_parent": null }, "node_2872": { "node_id": "node_2872", "content": "MODIFICATION: Increase 0 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n\nPerformance:\n Mass: 181.65 kg\n Factor of Safety: 1.15\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.64902628340533, "fos_buckling": 1.1537893527297298, "fos_yielding": 2.870750150491743, "deflection": 0.0016714613459100761, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.238)" }, "parent_node_id": "node_2871", "improvement_over_parent": null }, "node_2873": { "node_id": "node_2873", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 189.21 kg\n Factor of Safety: 1.15\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.21046571877324, "fos_buckling": 1.1507896302561456, "fos_yielding": 2.863286523164882, "deflection": 0.0016675970118338094, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002225)" }, "parent_node_id": "node_2872", "improvement_over_parent": null }, "node_2874": { "node_id": "node_2874", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 215.47 kg\n Factor of Safety: 1.29\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.46994432710912, "fos_buckling": 1.2915025208602067, "fos_yielding": 3.267408427154842, "deflection": 0.0014671835183910045, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.152)" }, "parent_node_id": "node_2873", "improvement_over_parent": null }, "node_2875": { "node_id": "node_2875", "content": "MODIFICATION: Increase 4 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.17 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.1677931516218, "fos_buckling": 1.5673823664382553, "fos_yielding": 4.15205257746724, "deflection": 0.0014511455624975757, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.309)" }, "parent_node_id": "node_2874", "improvement_over_parent": null }, "node_2876": { "node_id": "node_2876", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2875", "improvement_over_parent": null }, "node_2877": { "node_id": "node_2877", "content": "INITIAL DESIGN (Trace 418)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n\nPerformance:\n Mass: 110.70 kg\n Factor of Safety: 0.09\n Max Deflection: 7.84e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 110.70414577842912, "fos_buckling": 0.08687868381616136, "fos_yielding": 1.3691214991182328, "deflection": 0.007838574473399617, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2878": { "node_id": "node_2878", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0022)]\n\nPerformance:\n Mass: 127.75 kg\n Factor of Safety: 0.72\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": 127.7487795389667, "fos_buckling": 0.724476039885051, "fos_yielding": 2.408174400065826, "deflection": 0.0026413613701728065, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.002159)" }, "parent_node_id": "node_2877", "improvement_over_parent": null }, "node_2879": { "node_id": "node_2879", "content": "MODIFICATION: Increase 6 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0022)]\n\nPerformance:\n Mass: 131.61 kg\n Factor of Safety: 0.68\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": 131.60905676450636, "fos_buckling": 0.6765257634445151, "fos_yielding": 2.644377396963544, "deflection": 0.002604849260530925, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.264)" }, "parent_node_id": "node_2878", "improvement_over_parent": null }, "node_2880": { "node_id": "node_2880", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n\nPerformance:\n Mass: 169.32 kg\n Factor of Safety: 0.84\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": 169.31683827836181, "fos_buckling": 0.8433567141823359, "fos_yielding": 3.396542503706533, "deflection": 0.0020267787682328705, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.307)" }, "parent_node_id": "node_2879", "improvement_over_parent": null }, "node_2881": { "node_id": "node_2881", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 207.75 kg\n Factor of Safety: 1.00\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.75473976339222, "fos_buckling": 1.0015747011598573, "fos_yielding": 4.1605038143045485, "deflection": 0.0016533674197907458, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.248)" }, "parent_node_id": "node_2880", "improvement_over_parent": null }, "node_2882": { "node_id": "node_2882", "content": "MODIFICATION: Increase 10 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.18 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.17942843952315, "fos_buckling": 1.568090808025217, "fos_yielding": 4.149453756481074, "deflection": 0.0014508734416449742, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.621)" }, "parent_node_id": "node_2881", "improvement_over_parent": null }, "node_2883": { "node_id": "node_2883", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2882", "improvement_over_parent": null }, "node_2884": { "node_id": "node_2884", "content": "INITIAL DESIGN (Trace 419)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0025)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 138.69 kg\n Factor of Safety: 0.60\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": 138.69195598112364, "fos_buckling": 0.6029261330774461, "fos_yielding": 2.7208659391141063, "deflection": 0.002450337633663702, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2885": { "node_id": "node_2885", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 164.90 kg\n Factor of Safety: 0.70\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": 164.8997329835874, "fos_buckling": 0.7010195367553373, "fos_yielding": 3.2320029307930778, "deflection": 0.002062645838378542, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.202)" }, "parent_node_id": "node_2884", "improvement_over_parent": null }, "node_2886": { "node_id": "node_2886", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 189.29 kg\n Factor of Safety: 0.79\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.2869156718351, "fos_buckling": 0.788006403030711, "fos_yielding": 3.7067095989865475, "deflection": 0.0017982661111659347, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.160)" }, "parent_node_id": "node_2885", "improvement_over_parent": null }, "node_2887": { "node_id": "node_2887", "content": "MODIFICATION: Increase 7 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 201.43 kg\n Factor of Safety: 1.44\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.4259874781186, "fos_buckling": 1.4414887049122047, "fos_yielding": 3.746638916747126, "deflection": 0.0016054010666150394, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.484)" }, "parent_node_id": "node_2886", "improvement_over_parent": null }, "node_2888": { "node_id": "node_2888", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.24 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.23772268557516, "fos_buckling": 1.567820768458346, "fos_yielding": 4.150735359605305, "deflection": 0.0014505348194295904, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.119)" }, "parent_node_id": "node_2887", "improvement_over_parent": null }, "node_2889": { "node_id": "node_2889", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2888", "improvement_over_parent": null }, "node_2890": { "node_id": "node_2890", "content": "INITIAL DESIGN (Trace 420)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n\nPerformance:\n Mass: 120.31 kg\n Factor of Safety: 0.10\n Max Deflection: 6.89e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.30995034233945, "fos_buckling": 0.09786309849950384, "fos_yielding": 1.5109332655104497, "deflection": 0.006892585891600045, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2891": { "node_id": "node_2891", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n\nPerformance:\n Mass: 126.56 kg\n Factor of Safety: 0.10\n Max Deflection: 6.83e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.563377670218, "fos_buckling": 0.09779804362463616, "fos_yielding": 1.5654927769816567, "deflection": 0.0068329277828077135, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001814)" }, "parent_node_id": "node_2890", "improvement_over_parent": null }, "node_2892": { "node_id": "node_2892", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 141.42 kg\n Factor of Safety: 0.11\n Max Deflection: 6.12e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.4239918418386, "fos_buckling": 0.10753916584928404, "fos_yielding": 1.7469491685910647, "deflection": 0.006120049921326862, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.126)" }, "parent_node_id": "node_2891", "improvement_over_parent": null }, "node_2893": { "node_id": "node_2893", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 167.96 kg\n Factor of Safety: 1.05\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.96193050895164, "fos_buckling": 1.0549459489945154, "fos_yielding": 2.886484790452903, "deflection": 0.0019386165439749356, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.003427)" }, "parent_node_id": "node_2892", "improvement_over_parent": null }, "node_2894": { "node_id": "node_2894", "content": "MODIFICATION: Increase 5 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 168.77 kg\n Factor of Safety: 1.02\n Max Deflection: 1.93e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.7742193929991, "fos_buckling": 1.021709764696758, "fos_yielding": 2.88425757581021, "deflection": 0.0019328258730285978, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.209)" }, "parent_node_id": "node_2893", "improvement_over_parent": null }, "node_2895": { "node_id": "node_2895", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 208.22 kg\n Factor of Safety: 1.21\n Max Deflection: 1.57e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.22153502491068, "fos_buckling": 1.2149665812797554, "fos_yielding": 3.5622823077537142, "deflection": 0.0015699839750293694, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.255)" }, "parent_node_id": "node_2894", "improvement_over_parent": null }, "node_2896": { "node_id": "node_2896", "content": "MODIFICATION: Increase 4 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 213.36 kg\n Factor of Safety: 1.25\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.3610699559544, "fos_buckling": 1.2520301624941812, "fos_yielding": 4.153700734654187, "deflection": 0.001560535945606636, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.189)" }, "parent_node_id": "node_2895", "improvement_over_parent": null }, "node_2897": { "node_id": "node_2897", "content": "MODIFICATION: Increase 10 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.12 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.12108305163667, "fos_buckling": 1.5671370168350767, "fos_yielding": 4.147719201086937, "deflection": 0.0014512933332352937, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.326)" }, "parent_node_id": "node_2896", "improvement_over_parent": null }, "node_2898": { "node_id": "node_2898", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2897", "improvement_over_parent": null }, "node_2899": { "node_id": "node_2899", "content": "INITIAL DESIGN (Trace 421)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n\nPerformance:\n Mass: 129.46 kg\n Factor of Safety: 0.06\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.46486592658465, "fos_buckling": 0.05755091156812384, "fos_yielding": 0.8111021565803005, "deflection": 0.014224845957796592, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2900": { "node_id": "node_2900", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 173.08 kg\n Factor of Safety: 0.13\n Max Deflection: 6.45e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.07592016934535, "fos_buckling": 0.12801533773858106, "fos_yielding": 1.4569934539198215, "deflection": 0.006449219961776212, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_2899", "improvement_over_parent": null }, "node_2901": { "node_id": "node_2901", "content": "MODIFICATION: Increase 9 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0069)]\n\nPerformance:\n Mass: 180.39 kg\n Factor of Safety: 0.13\n Max Deflection: 6.36e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.38923583589647, "fos_buckling": 0.12791615660660216, "fos_yielding": 1.4558646340252812, "deflection": 0.00636452466011336, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.188)" }, "parent_node_id": "node_2900", "improvement_over_parent": null }, "node_2902": { "node_id": "node_2902", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0069)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.04 kg\n Factor of Safety: 1.54\n Max Deflection: 1.41e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.04120418726987, "fos_buckling": 1.5374580061363614, "fos_yielding": 4.169244449248999, "deflection": 0.0014081671522249996, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_2901", "improvement_over_parent": null }, "node_2903": { "node_id": "node_2903", "content": "MODIFICATION: Increase 5 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0069)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 225.17 kg\n Factor of Safety: 1.54\n Max Deflection: 1.40e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 225.17304952179708, "fos_buckling": 1.54393646529993, "fos_yielding": 4.163550483407594, "deflection": 0.001402253420875493, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.582)" }, "parent_node_id": "node_2902", "improvement_over_parent": null }, "node_2904": { "node_id": "node_2904", "content": "MODIFICATION: Increase 9 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0105)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 247.94 kg\n Factor of Safety: 1.55\n Max Deflection: 1.29e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 247.93998264613185, "fos_buckling": 1.5463765120164477, "fos_yielding": 4.192526220388781, "deflection": 0.0012920277563215083, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.538)" }, "parent_node_id": "node_2903", "improvement_over_parent": null }, "node_2905": { "node_id": "node_2905", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 422)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, 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_2907": { "node_id": "node_2907", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n\nPerformance:\n Mass: 156.71 kg\n Factor of Safety: 1.23\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": 156.71304657298754, "fos_buckling": 1.2309325721738338, "fos_yielding": 3.414393550538703, "deflection": 0.0021418243717479762, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001897)" }, "parent_node_id": "node_2906", "improvement_over_parent": null }, "node_2908": { "node_id": "node_2908", "content": "MODIFICATION: Increase 0 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n\nPerformance:\n Mass: 161.70 kg\n Factor of Safety: 1.23\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.69773336267502, "fos_buckling": 1.2302821775492192, "fos_yielding": 3.414393550538703, "deflection": 0.001967790977424071, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.558)" }, "parent_node_id": "node_2907", "improvement_over_parent": null }, "node_2909": { "node_id": "node_2909", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 168.70 kg\n Factor of Safety: 1.15\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.70079757034233, "fos_buckling": 1.1456735782689498, "fos_yielding": 3.3681232546297886, "deflection": 0.001913922729313079, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002048)" }, "parent_node_id": "node_2908", "improvement_over_parent": null }, "node_2910": { "node_id": "node_2910", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 207.47 kg\n Factor of Safety: 1.34\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.47310693862192, "fos_buckling": 1.3434455047475284, "fos_yielding": 4.13805839339153, "deflection": 0.0015595132330560716, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.252)" }, "parent_node_id": "node_2909", "improvement_over_parent": null }, "node_2911": { "node_id": "node_2911", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 220.02 kg\n Factor of Safety: 1.50\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 220.02146455871818, "fos_buckling": 1.4975049438334176, "fos_yielding": 4.153750212947848, "deflection": 0.001499994368530149, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_2910", "improvement_over_parent": null }, "node_2912": { "node_id": "node_2912", "content": "MODIFICATION: Increase 1 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.22 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.21953092669528, "fos_buckling": 1.5679727744867207, "fos_yielding": 4.150981135861324, "deflection": 0.0014507951148093091, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.245)" }, "parent_node_id": "node_2911", "improvement_over_parent": null }, "node_2913": { "node_id": "node_2913", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2912", "improvement_over_parent": null }, "node_2914": { "node_id": "node_2914", "content": "INITIAL DESIGN (Trace 423)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 203.65 kg\n Factor of Safety: 1.18\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.65470124725596, "fos_buckling": 1.1779793008244106, "fos_yielding": 4.1951076006080354, "deflection": 0.0017180487946047436, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2915": { "node_id": "node_2915", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 207.21 kg\n Factor of Safety: 1.14\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.20910858295397, "fos_buckling": 1.135584836167123, "fos_yielding": 4.128377666861191, "deflection": 0.0016806261290830719, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_2914", "improvement_over_parent": null }, "node_2916": { "node_id": "node_2916", "content": "MODIFICATION: Increase 10 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0026)]\n\nPerformance:\n Mass: 208.27 kg\n Factor of Safety: 1.15\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.27041717094528, "fos_buckling": 1.1530374921917579, "fos_yielding": 4.124113940076408, "deflection": 0.001678462906385216, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.340)" }, "parent_node_id": "node_2915", "improvement_over_parent": null }, "node_2917": { "node_id": "node_2917", "content": "MODIFICATION: Increase 0 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0026)]\n\nPerformance:\n Mass: 214.21 kg\n Factor of Safety: 1.24\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.21353274840027, "fos_buckling": 1.2406347626557543, "fos_yielding": 4.1550515659473, "deflection": 0.0015635082237918224, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.543)" }, "parent_node_id": "node_2916", "improvement_over_parent": null }, "node_2918": { "node_id": "node_2918", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2917", "improvement_over_parent": null }, "node_2919": { "node_id": "node_2919", "content": "INITIAL DESIGN (Trace 424)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0008)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n\nPerformance:\n Mass: 135.72 kg\n Factor of Safety: 1.05\n Max Deflection: 2.24e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.72022086502474, "fos_buckling": 1.0518868425483598, "fos_yielding": 2.8407006117631326, "deflection": 0.0022367765217012345, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2920": { "node_id": "node_2920", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0008)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n\nPerformance:\n Mass: 142.70 kg\n Factor of Safety: 1.07\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": 142.69982343961996, "fos_buckling": 1.0651588605428335, "fos_yielding": 2.850677736339908, "deflection": 0.002236466141060895, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.001652)" }, "parent_node_id": "node_2919", "improvement_over_parent": null }, "node_2921": { "node_id": "node_2921", "content": "MODIFICATION: Increase 8 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0008)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n\nPerformance:\n Mass: 148.93 kg\n Factor of Safety: 1.10\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": 148.92670606284804, "fos_buckling": 1.1001269715163726, "fos_yielding": 2.844042245014326, "deflection": 0.0021117758247581825, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.232)" }, "parent_node_id": "node_2920", "improvement_over_parent": null }, "node_2922": { "node_id": "node_2922", "content": "MODIFICATION: Increase 7 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n\nPerformance:\n Mass: 150.06 kg\n Factor of Safety: 1.10\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": 150.05746748996137, "fos_buckling": 1.100372035158223, "fos_yielding": 2.843546500469553, "deflection": 0.0021117531245465906, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.401)" }, "parent_node_id": "node_2921", "improvement_over_parent": null }, "node_2923": { "node_id": "node_2923", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n\nPerformance:\n Mass: 154.23 kg\n Factor of Safety: 1.13\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": 154.2269240563619, "fos_buckling": 1.13203629371305, "fos_yielding": 2.8192389266121465, "deflection": 0.002038007330753156, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001686)" }, "parent_node_id": "node_2922", "improvement_over_parent": null }, "node_2924": { "node_id": "node_2924", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0060)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 196.04 kg\n Factor of Safety: 1.39\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.0371974601526, "fos_buckling": 1.3908009583694838, "fos_yielding": 3.583481548813313, "deflection": 0.0016082248579265587, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.294)" }, "parent_node_id": "node_2923", "improvement_over_parent": null }, "node_2925": { "node_id": "node_2925", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0070)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 227.15 kg\n Factor of Safety: 1.57\n Max Deflection: 1.39e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 227.14674163022337, "fos_buckling": 1.5701798000061329, "fos_yielding": 4.1522507631081425, "deflection": 0.0013911218900078486, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.175)" }, "parent_node_id": "node_2924", "improvement_over_parent": null }, "node_2926": { "node_id": "node_2926", "content": "MODIFICATION: Increase 8 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0103)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 246.93 kg\n Factor of Safety: 1.57\n Max Deflection: 1.30e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 246.9255499380683, "fos_buckling": 1.5722476923380402, "fos_yielding": 4.148093401618374, "deflection": 0.0012979129488480633, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.462)" }, "parent_node_id": "node_2925", "improvement_over_parent": null }, "node_2927": { "node_id": "node_2927", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2926", "improvement_over_parent": null }, "node_2928": { "node_id": "node_2928", "content": "INITIAL DESIGN (Trace 425)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n\nPerformance:\n Mass: 124.46 kg\n Factor of Safety: 1.14\n Max Deflection: 3.13e+14 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.46180611563315, "fos_buckling": 1.1368812801749455, "fos_yielding": 0.2272460372010049, "deflection": 313023848598650.7, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2929": { "node_id": "node_2929", "content": "MODIFICATION: Increase 6 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n\nPerformance:\n Mass: 129.72 kg\n Factor of Safety: 1.36\n Max Deflection: 3.13e+14 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.7196199068525, "fos_buckling": 1.3627367396270431, "fos_yielding": 0.2272460372010049, "deflection": 313023848598650.7, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.284)" }, "parent_node_id": "node_2928", "improvement_over_parent": null }, "node_2930": { "node_id": "node_2930", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 165.04 kg\n Factor of Safety: 1.25\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.0372953388328, "fos_buckling": 1.2493546177890857, "fos_yielding": 3.4762700150126955, "deflection": 0.0018615656712391417, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004648)" }, "parent_node_id": "node_2929", "improvement_over_parent": null }, "node_2931": { "node_id": "node_2931", "content": "MODIFICATION: Increase 5 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 166.59 kg\n Factor of Safety: 1.25\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.5883687635235, "fos_buckling": 1.2489439715011532, "fos_yielding": 3.4762700150126955, "deflection": 0.0018564088267097845, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.471)" }, "parent_node_id": "node_2930", "improvement_over_parent": null }, "node_2932": { "node_id": "node_2932", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 201.34 kg\n Factor of Safety: 1.46\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.33686564065403, "fos_buckling": 1.4599898696554217, "fos_yielding": 4.199377738933289, "deflection": 0.0015427329319434272, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.229)" }, "parent_node_id": "node_2931", "improvement_over_parent": null }, "node_2933": { "node_id": "node_2933", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 213.89 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 213.88522326075028, "fos_buckling": 1.5241666051763276, "fos_yielding": 4.199377738933289, "deflection": 0.0014690729581692446, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_2932", "improvement_over_parent": null }, "node_2934": { "node_id": "node_2934", "content": "MODIFICATION: Increase 2 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 214.78 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 214.78241229586425, "fos_buckling": 1.5240222962166843, "fos_yielding": 4.199138359533431, "deflection": 0.0014692050663059177, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.370)" }, "parent_node_id": "node_2933", "improvement_over_parent": null }, "node_2935": { "node_id": "node_2935", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.40 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.3955169106249, "fos_buckling": 1.5689371769545832, "fos_yielding": 4.153990305047003, "deflection": 0.0014494939630216508, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_2934", "improvement_over_parent": null }, "node_2936": { "node_id": "node_2936", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 426)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0026)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 145.42 kg\n Factor of Safety: 0.85\n Max Deflection: 2.17e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.42151896047437, "fos_buckling": 0.8471382599158239, "fos_yielding": 2.2443340878274207, "deflection": 0.0021687285111369366, "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 4 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0026)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 152.20 kg\n Factor of Safety: 0.78\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": 152.1997480731111, "fos_buckling": 0.7826155204542814, "fos_yielding": 2.350375853196294, "deflection": 0.0021364172244366176, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.383)" }, "parent_node_id": "node_2937", "improvement_over_parent": null }, "node_2939": { "node_id": "node_2939", "content": "MODIFICATION: Increase 0 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0026)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 155.68 kg\n Factor of Safety: 0.85\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": 155.68471333046614, "fos_buckling": 0.8481449500119868, "fos_yielding": 2.347015993132192, "deflection": 0.002022298699456231, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.385)" }, "parent_node_id": "node_2938", "improvement_over_parent": null }, "node_2940": { "node_id": "node_2940", "content": "MODIFICATION: Increase 6 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 163.42 kg\n Factor of Safety: 1.21\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.42177230447462, "fos_buckling": 1.2076055074245655, "fos_yielding": 3.042132821699179, "deflection": 0.0019740436241987057, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.567)" }, "parent_node_id": "node_2939", "improvement_over_parent": null }, "node_2941": { "node_id": "node_2941", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 183.75 kg\n Factor of Safety: 1.33\n Max Deflection: 1.76e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.75066632277216, "fos_buckling": 1.334886008401805, "fos_yielding": 3.4193155975023544, "deflection": 0.0017579037293876142, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.134)" }, "parent_node_id": "node_2940", "improvement_over_parent": null }, "node_2942": { "node_id": "node_2942", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.57 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.56950045749105, "fos_buckling": 1.5696882969203374, "fos_yielding": 4.157320437707697, "deflection": 0.0014484419189542033, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.238)" }, "parent_node_id": "node_2941", "improvement_over_parent": null }, "node_2943": { "node_id": "node_2943", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2942", "improvement_over_parent": null }, "node_2944": { "node_id": "node_2944", "content": "INITIAL DESIGN (Trace 427)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 136.56 kg\n Factor of Safety: 1.03\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": 136.56372254022824, "fos_buckling": 1.0328458205313493, "fos_yielding": 2.790042392793048, "deflection": 0.0023083654033378286, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2945": { "node_id": "node_2945", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 173.94 kg\n Factor of Safety: 1.27\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.93576796222203, "fos_buckling": 1.270980482105755, "fos_yielding": 3.551131259705098, "deflection": 0.001821927348143017, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.295)" }, "parent_node_id": "node_2944", "improvement_over_parent": null }, "node_2946": { "node_id": "node_2946", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n\nPerformance:\n Mass: 178.78 kg\n Factor of Safety: 1.27\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.78434408293998, "fos_buckling": 1.270328311824881, "fos_yielding": 3.511317999677913, "deflection": 0.001771395863982514, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001386)" }, "parent_node_id": "node_2945", "improvement_over_parent": null }, "node_2947": { "node_id": "node_2947", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n\nPerformance:\n Mass: 211.42 kg\n Factor of Safety: 1.46\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.41600539847235, "fos_buckling": 1.457437724100256, "fos_yielding": 4.148182358671377, "deflection": 0.0015018771761320406, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.200)" }, "parent_node_id": "node_2946", "improvement_over_parent": null }, "node_2948": { "node_id": "node_2948", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 216.59 kg\n Factor of Safety: 1.55\n Max Deflection: 1.46e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 216.59034827520102, "fos_buckling": 1.5532917328805003, "fos_yielding": 4.158049840847696, "deflection": 0.0014605915146722022, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_2947", "improvement_over_parent": null }, "node_2949": { "node_id": "node_2949", "content": "MODIFICATION: Increase 9 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0025)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 219.11 kg\n Factor of Safety: 1.55\n Max Deflection: 1.46e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 219.1075581671033, "fos_buckling": 1.5514223206180797, "fos_yielding": 4.150140897096696, "deflection": 0.0014572343049049396, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.477)" }, "parent_node_id": "node_2948", "improvement_over_parent": null }, "node_2950": { "node_id": "node_2950", "content": "MODIFICATION: Increase 8 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0088)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0025)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 239.02 kg\n Factor of Safety: 1.51\n Max Deflection: 1.33e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 239.0169462649566, "fos_buckling": 1.5059905656254524, "fos_yielding": 4.144169533022687, "deflection": 0.0013288070669108434, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.543)" }, "parent_node_id": "node_2949", "improvement_over_parent": null }, "node_2951": { "node_id": "node_2951", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2950", "improvement_over_parent": null }, "node_2952": { "node_id": "node_2952", "content": "INITIAL DESIGN (Trace 428)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n\nPerformance:\n Mass: 95.95 kg\n Factor of Safety: 0.05\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": 95.9480252732868, "fos_buckling": 0.047207936321927324, "fos_yielding": 0.9225789938936751, "deflection": 0.015276145605931565, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2953": { "node_id": "node_2953", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n\nPerformance:\n Mass: 128.32 kg\n Factor of Safety: 0.10\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": 128.31525574635836, "fos_buckling": 0.09966089712183694, "fos_yielding": 1.5997547000179388, "deflection": 0.006780551028501306, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004179)" }, "parent_node_id": "node_2952", "improvement_over_parent": null }, "node_2954": { "node_id": "node_2954", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 159.97 kg\n Factor of Safety: 0.96\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.97303793077782, "fos_buckling": 0.9628087210330161, "fos_yielding": 2.6980489785157196, "deflection": 0.0019777661812258665, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004133)" }, "parent_node_id": "node_2953", "improvement_over_parent": null }, "node_2955": { "node_id": "node_2955", "content": "MODIFICATION: Increase 6 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 165.69 kg\n Factor of Safety: 1.22\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.68913352853372, "fos_buckling": 1.2221910368282602, "fos_yielding": 3.0843775214637597, "deflection": 0.0019471586920959513, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.362)" }, "parent_node_id": "node_2954", "improvement_over_parent": null }, "node_2956": { "node_id": "node_2956", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 196.73 kg\n Factor of Safety: 1.41\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.7261273188319, "fos_buckling": 1.413655042801072, "fos_yielding": 3.660108777000153, "deflection": 0.0016431774875083518, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.203)" }, "parent_node_id": "node_2955", "improvement_over_parent": null }, "node_2957": { "node_id": "node_2957", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.23 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.22584752501285, "fos_buckling": 1.5678990714802221, "fos_yielding": 4.151167572132028, "deflection": 0.0014505324915732184, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.148)" }, "parent_node_id": "node_2956", "improvement_over_parent": null }, "node_2958": { "node_id": "node_2958", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2957", "improvement_over_parent": null }, "node_2959": { "node_id": "node_2959", "content": "INITIAL DESIGN (Trace 429)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 181.19 kg\n Factor of Safety: 0.95\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.18627549926796, "fos_buckling": 0.9454667805339356, "fos_yielding": 3.628994498946652, "deflection": 0.0017123079203377398, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2960": { "node_id": "node_2960", "content": "MODIFICATION: Increase 5 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 182.28 kg\n Factor of Safety: 0.92\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.28320909107748, "fos_buckling": 0.9197384178543466, "fos_yielding": 3.6278597698140516, "deflection": 0.0017118038123345037, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.277)" }, "parent_node_id": "node_2959", "improvement_over_parent": null }, "node_2961": { "node_id": "node_2961", "content": "MODIFICATION: Increase 3 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 183.13 kg\n Factor of Safety: 0.92\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.12615914296708, "fos_buckling": 0.9194905257522745, "fos_yielding": 3.6278485314111437, "deflection": 0.0017119504642278283, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.248)" }, "parent_node_id": "node_2960", "improvement_over_parent": null }, "node_2962": { "node_id": "node_2962", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n\nPerformance:\n Mass: 194.10 kg\n Factor of Safety: 1.21\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.10219591537364, "fos_buckling": 1.2127226211231938, "fos_yielding": 3.637958819888541, "deflection": 0.0016583631668848292, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002675)" }, "parent_node_id": "node_2961", "improvement_over_parent": null }, "node_2963": { "node_id": "node_2963", "content": "MODIFICATION: Increase 2 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n\nPerformance:\n Mass: 195.27 kg\n Factor of Safety: 1.40\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.27372422081154, "fos_buckling": 1.4048617877116114, "fos_yielding": 3.632727828028121, "deflection": 0.0016553976502135337, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.653)" }, "parent_node_id": "node_2962", "improvement_over_parent": null }, "node_2964": { "node_id": "node_2964", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.18 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.1797226075963, "fos_buckling": 1.5675404046046597, "fos_yielding": 4.149802905668149, "deflection": 0.0014509577050618157, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.157)" }, "parent_node_id": "node_2963", "improvement_over_parent": null }, "node_2965": { "node_id": "node_2965", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2964", "improvement_over_parent": null }, "node_2966": { "node_id": "node_2966", "content": "INITIAL DESIGN (Trace 430)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 135.14 kg\n Factor of Safety: 0.08\n Max Deflection: 2.13e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.14372112064112, "fos_buckling": 0.07625439814118982, "fos_yielding": 1.0298943270624783, "deflection": 21327310740627.895, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2967": { "node_id": "node_2967", "content": "MODIFICATION: Increase 6 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 136.93 kg\n Factor of Safety: 0.01\n Max Deflection: 1.55e+14 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.93421104408796, "fos_buckling": 0.01224713979588028, "fos_yielding": 0.2328744068556571, "deflection": 155448153182069.75, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.376)" }, "parent_node_id": "node_2966", "improvement_over_parent": null }, "node_2968": { "node_id": "node_2968", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 153.98 kg\n Factor of Safety: 0.13\n Max Deflection: 7.11e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.98406789224717, "fos_buckling": 0.13103239176206877, "fos_yielding": 2.1625358968577, "deflection": 7106280538813.362, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.135)" }, "parent_node_id": "node_2967", "improvement_over_parent": null }, "node_2969": { "node_id": "node_2969", "content": "MODIFICATION: Increase 1 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 158.67 kg\n Factor of Safety: 0.22\n Max Deflection: 6.95e+12 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.67483905198372, "fos_buckling": 0.2164820138922184, "fos_yielding": 3.6663151118445794, "deflection": 6952501830655.108, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.458)" }, "parent_node_id": "node_2968", "improvement_over_parent": null }, "node_2970": { "node_id": "node_2970", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n\nPerformance:\n Mass: 197.97 kg\n Factor of Safety: 1.40\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.9675284687995, "fos_buckling": 1.3985411469032167, "fos_yielding": 3.7812730421956204, "deflection": 0.0016297635835474881, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005150)" }, "parent_node_id": "node_2969", "improvement_over_parent": null }, "node_2971": { "node_id": "node_2971", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 219.76 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 219.76439834555322, "fos_buckling": 1.5226777419646076, "fos_yielding": 4.196446926246813, "deflection": 0.0014702924963725592, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.121)" }, "parent_node_id": "node_2970", "improvement_over_parent": null }, "node_2972": { "node_id": "node_2972", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.32 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.31880568125123, "fos_buckling": 1.5684581590533784, "fos_yielding": 4.152665617732716, "deflection": 0.001450111364451185, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_2971", "improvement_over_parent": null }, "node_2973": { "node_id": "node_2973", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2972", "improvement_over_parent": null }, "node_2974": { "node_id": "node_2974", "content": "INITIAL DESIGN (Trace 431)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n\nPerformance:\n Mass: 149.65 kg\n Factor of Safety: 0.02\n Max Deflection: 5.41e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.65067545259006, "fos_buckling": 0.016399421045758977, "fos_yielding": 0.2703169871072125, "deflection": 54110494554146.66, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2975": { "node_id": "node_2975", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 167.39 kg\n Factor of Safety: 0.13\n Max Deflection: 3.94e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.38858477404105, "fos_buckling": 0.1287398060229262, "fos_yielding": 2.1625358968577, "deflection": 3940786524216.0806, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.130)" }, "parent_node_id": "node_2974", "improvement_over_parent": null }, "node_2976": { "node_id": "node_2976", "content": "MODIFICATION: Increase 1 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 170.87 kg\n Factor of Safety: 0.13\n Max Deflection: 4.10e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.87065812592303, "fos_buckling": 0.1287398060229262, "fos_yielding": 2.1625358968577, "deflection": 4096008798178.453, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.272)" }, "parent_node_id": "node_2975", "improvement_over_parent": null }, "node_2977": { "node_id": "node_2977", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 174.43 kg\n Factor of Safety: 0.06\n Max Deflection: 9.62e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.42506546162105, "fos_buckling": 0.06042605170371432, "fos_yielding": 1.495614411844957, "deflection": 0.00962399877220632, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_2976", "improvement_over_parent": null }, "node_2978": { "node_id": "node_2978", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 217.08 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.07703381299444, "fos_buckling": 1.4845942123923628, "fos_yielding": 4.201387824326802, "deflection": 0.0015207290341550394, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_2977", "improvement_over_parent": null }, "node_2979": { "node_id": "node_2979", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.23 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.23084855129227, "fos_buckling": 1.5681049702436454, "fos_yielding": 4.150766217662786, "deflection": 0.0014506415433111221, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_2978", "improvement_over_parent": null }, "node_2980": { "node_id": "node_2980", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 432)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 135.59 kg\n Factor of Safety: 0.99\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": 135.59295735117865, "fos_buckling": 0.9934153953594712, "fos_yielding": 2.628825595204334, "deflection": 0.002425358747532766, "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: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n\nPerformance:\n Mass: 138.28 kg\n Factor of Safety: 0.94\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": 138.27801459947608, "fos_buckling": 0.9365777969346193, "fos_yielding": 2.600285299836966, "deflection": 0.002323083058443019, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001063)" }, "parent_node_id": "node_2981", "improvement_over_parent": null }, "node_2983": { "node_id": "node_2983", "content": "MODIFICATION: Increase 5 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n\nPerformance:\n Mass: 146.28 kg\n Factor of Safety: 0.73\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": 146.27834583755288, "fos_buckling": 0.7344080766108594, "fos_yielding": 2.6050605192928, "deflection": 0.0022942999883458983, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.456)" }, "parent_node_id": "node_2982", "improvement_over_parent": null }, "node_2984": { "node_id": "node_2984", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0064)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n\nPerformance:\n Mass: 183.83 kg\n Factor of Safety: 0.92\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.82852382578, "fos_buckling": 0.9190441898148216, "fos_yielding": 3.2755991345591515, "deflection": 0.001827554310686674, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.277)" }, "parent_node_id": "node_2983", "improvement_over_parent": null }, "node_2985": { "node_id": "node_2985", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0083)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n\nPerformance:\n Mass: 233.48 kg\n Factor of Safety: 1.16\n Max Deflection: 1.44e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 233.4771845411185, "fos_buckling": 1.1609534765158125, "fos_yielding": 4.16385349697102, "deflection": 0.0014407549077049939, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_2984", "improvement_over_parent": null }, "node_2986": { "node_id": "node_2986", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 433)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 189.06 kg\n Factor of Safety: 1.17\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.06299975246768, "fos_buckling": 1.1673158597296982, "fos_yielding": 2.9100808975713988, "deflection": 0.0016654025101067236, "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 4 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 195.47 kg\n Factor of Safety: 1.39\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.4716551445429, "fos_buckling": 1.3902709121932888, "fos_yielding": 3.6489988441454613, "deflection": 0.0016494413571277403, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.285)" }, "parent_node_id": "node_2987", "improvement_over_parent": null }, "node_2989": { "node_id": "node_2989", "content": "MODIFICATION: Increase 2 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 196.14 kg\n Factor of Safety: 1.41\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.13874380535762, "fos_buckling": 1.410230121573949, "fos_yielding": 3.6464318042798345, "deflection": 0.0016480266523881482, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.294)" }, "parent_node_id": "node_2988", "improvement_over_parent": null }, "node_2990": { "node_id": "node_2990", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.27 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.27346582178933, "fos_buckling": 1.5682677811827985, "fos_yielding": 4.148923636217986, "deflection": 0.0014502182254675581, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.152)" }, "parent_node_id": "node_2989", "improvement_over_parent": null }, "node_2991": { "node_id": "node_2991", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2990", "improvement_over_parent": null }, "node_2992": { "node_id": "node_2992", "content": "INITIAL DESIGN (Trace 434)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 160.99 kg\n Factor of Safety: 1.19\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.98661956838734, "fos_buckling": 1.189490070507974, "fos_yielding": 3.248306451116468, "deflection": 0.0019146785654424788, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2993": { "node_id": "node_2993", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 205.80 kg\n Factor of Safety: 1.46\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.79569160815078, "fos_buckling": 1.4578435172943813, "fos_yielding": 4.147318492596409, "deflection": 0.0015027667644757481, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.305)" }, "parent_node_id": "node_2992", "improvement_over_parent": null }, "node_2994": { "node_id": "node_2994", "content": "MODIFICATION: Increase 5 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 207.90 kg\n Factor of Safety: 1.46\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.9022000825932, "fos_buckling": 1.4571948931701233, "fos_yielding": 4.144974828971884, "deflection": 0.001502009489280458, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.572)" }, "parent_node_id": "node_2993", "improvement_over_parent": null }, "node_2995": { "node_id": "node_2995", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 220.45 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 220.45055770268945, "fos_buckling": 1.5660638661672892, "fos_yielding": 4.1561748613255975, "deflection": 0.001454630473346897, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_2994", "improvement_over_parent": null }, "node_2996": { "node_id": "node_2996", "content": "MODIFICATION: Increase 8 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.10 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.10023997476978, "fos_buckling": 1.567114433082192, "fos_yielding": 4.148392316477799, "deflection": 0.00145147327978563, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.488)" }, "parent_node_id": "node_2995", "improvement_over_parent": null }, "node_2997": { "node_id": "node_2997", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2996", "improvement_over_parent": null }, "node_2998": { "node_id": "node_2998", "content": "INITIAL DESIGN (Trace 435)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0026)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0026)]\n\nPerformance:\n Mass: 102.80 kg\n Factor of Safety: 0.77\n Max Deflection: 3.19e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 102.80413453299661, "fos_buckling": 0.7734993463412572, "fos_yielding": 1.9945022125521779, "deflection": 0.003194025187627237, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2999": { "node_id": "node_2999", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0031)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n\nPerformance:\n Mass: 115.97 kg\n Factor of Safety: 0.86\n Max Deflection: 2.83e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.96982811931795, "fos_buckling": 0.8633510092259676, "fos_yielding": 2.249307089549032, "deflection": 0.002833157532124831, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.134)" }, "parent_node_id": "node_2998", "improvement_over_parent": null }, "node_3000": { "node_id": "node_3000", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 137.92 kg\n Factor of Safety: 1.01\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": 137.92473367116773, "fos_buckling": 1.0085642457892092, "fos_yielding": 2.6739022010171625, "deflection": 0.0023846143960053, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.200)" }, "parent_node_id": "node_2999", "improvement_over_parent": null }, "node_3001": { "node_id": "node_3001", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 173.75 kg\n Factor of Safety: 1.23\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.75284975447875, "fos_buckling": 1.2331654754754873, "fos_yielding": 3.36595658537903, "deflection": 0.0018960636374240846, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.279)" }, "parent_node_id": "node_3000", "improvement_over_parent": null }, "node_3002": { "node_id": "node_3002", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 178.68 kg\n Factor of Safety: 1.30\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.6773151856785, "fos_buckling": 1.3036649937181464, "fos_yielding": 3.3250278136323317, "deflection": 0.0018072508321563168, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002014)" }, "parent_node_id": "node_3001", "improvement_over_parent": null }, "node_3003": { "node_id": "node_3003", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.27 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.26932387553444, "fos_buckling": 1.5680695903253798, "fos_yielding": 4.1515380417428265, "deflection": 0.0014503714664982179, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.274)" }, "parent_node_id": "node_3002", "improvement_over_parent": null }, "node_3004": { "node_id": "node_3004", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3003", "improvement_over_parent": null }, "node_3005": { "node_id": "node_3005", "content": "INITIAL DESIGN (Trace 436)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0010)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0032)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n\nPerformance:\n Mass: 125.94 kg\n Factor of Safety: 0.86\n Max Deflection: 2.55e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.93601303207686, "fos_buckling": 0.8625273089116735, "fos_yielding": 2.3679143025523812, "deflection": 0.0025489445662238153, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3006": { "node_id": "node_3006", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 146.39 kg\n Factor of Safety: 1.00\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": 146.39401327003935, "fos_buckling": 0.9982758475721825, "fos_yielding": 2.751380231489949, "deflection": 0.0021954865794863374, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.172)" }, "parent_node_id": "node_3005", "improvement_over_parent": null }, "node_3007": { "node_id": "node_3007", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 178.01 kg\n Factor of Safety: 1.21\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.01448352275594, "fos_buckling": 1.2054858791575402, "fos_yielding": 3.3434075349880827, "deflection": 0.0018090014894603056, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.232)" }, "parent_node_id": "node_3006", "improvement_over_parent": null }, "node_3008": { "node_id": "node_3008", "content": "MODIFICATION: Increase 5 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 179.43 kg\n Factor of Safety: 1.31\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.43090142957394, "fos_buckling": 1.308332093003821, "fos_yielding": 3.3389920858883726, "deflection": 0.001799749445798564, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.431)" }, "parent_node_id": "node_3007", "improvement_over_parent": null }, "node_3009": { "node_id": "node_3009", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.07 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.06979953869157, "fos_buckling": 1.5669387433177, "fos_yielding": 4.147825561990144, "deflection": 0.0014516531162640277, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.267)" }, "parent_node_id": "node_3008", "improvement_over_parent": null }, "node_3010": { "node_id": "node_3010", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3009", "improvement_over_parent": null }, "node_3011": { "node_id": "node_3011", "content": "INITIAL DESIGN (Trace 437)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\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_3012": { "node_id": "node_3012", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 219.70 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 219.70417735852303, "fos_buckling": 1.5224257584192258, "fos_yielding": 4.195107472363622, "deflection": 0.0014706252204524392, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_3011", "improvement_over_parent": null }, "node_3013": { "node_id": "node_3013", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25858469422104, "fos_buckling": 1.5680097193854248, "fos_yielding": 4.1513431428331, "deflection": 0.0014504397253500814, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_3012", "improvement_over_parent": null }, "node_3014": { "node_id": "node_3014", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3013", "improvement_over_parent": null }, "node_3015": { "node_id": "node_3015", "content": "INITIAL DESIGN (Trace 438)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n\nPerformance:\n Mass: 125.77 kg\n Factor of Safety: 0.09\n Max Deflection: 6.92e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.77366426978793, "fos_buckling": 0.09430072186400502, "fos_yielding": 1.5018513968605691, "deflection": 0.006924798607625782, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3016": { "node_id": "node_3016", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n\nPerformance:\n Mass: 158.87 kg\n Factor of Safety: 0.12\n Max Deflection: 5.49e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.8673388961704, "fos_buckling": 0.11510972962552322, "fos_yielding": 1.8925476863572213, "deflection": 0.005492122698580599, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.285)" }, "parent_node_id": "node_3015", "improvement_over_parent": null }, "node_3017": { "node_id": "node_3017", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 180.70 kg\n Factor of Safety: 0.13\n Max Deflection: 4.83e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.69990116412956, "fos_buckling": 0.12793643554539974, "fos_yielding": 2.1492909432369345, "deflection": 0.004834253623471406, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.151)" }, "parent_node_id": "node_3016", "improvement_over_parent": null }, "node_3018": { "node_id": "node_3018", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.35 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.35186951550295, "fos_buckling": 1.568166541406689, "fos_yielding": 4.153444372643242, "deflection": 0.001449891877714198, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_3017", "improvement_over_parent": null }, "node_3019": { "node_id": "node_3019", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3018", "improvement_over_parent": null }, "node_3020": { "node_id": "node_3020", "content": "INITIAL DESIGN (Trace 439)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 140.59 kg\n Factor of Safety: 0.03\n Max Deflection: 3.48e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.59356401688257, "fos_buckling": 0.0328759544816391, "fos_yielding": 0.540633974214425, "deflection": 34843857589518.906, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3021": { "node_id": "node_3021", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n\nPerformance:\n Mass: 179.00 kg\n Factor of Safety: 1.33\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.00025545168438, "fos_buckling": 1.326231253529051, "fos_yielding": 3.6973139858933104, "deflection": 0.0017941468684741062, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005024)" }, "parent_node_id": "node_3020", "improvement_over_parent": null }, "node_3022": { "node_id": "node_3022", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 203.17 kg\n Factor of Safety: 1.47\n Max Deflection: 1.58e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.17125279769127, "fos_buckling": 1.4724014743636278, "fos_yielding": 4.194158449895645, "deflection": 0.0015822531054748793, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.148)" }, "parent_node_id": "node_3021", "improvement_over_parent": null }, "node_3023": { "node_id": "node_3023", "content": "MODIFICATION: Increase 0 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 206.38 kg\n Factor of Safety: 1.47\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.37543075873685, "fos_buckling": 1.4729050080583774, "fos_yielding": 4.194158449895645, "deflection": 0.0015215661475512685, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.239)" }, "parent_node_id": "node_3022", "improvement_over_parent": null }, "node_3024": { "node_id": "node_3024", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 214.99 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.9885353734975, "fos_buckling": 1.4828216360385045, "fos_yielding": 4.199070158257451, "deflection": 0.001521454412599088, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_3023", "improvement_over_parent": null }, "node_3025": { "node_id": "node_3025", "content": "MODIFICATION: Increase 8 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0070)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.06 kg\n Factor of Safety: 1.49\n Max Deflection: 1.45e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 223.05854847971432, "fos_buckling": 1.4948856418255112, "fos_yielding": 4.210208161873701, "deflection": 0.0014468335874602766, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.208)" }, "parent_node_id": "node_3024", "improvement_over_parent": null }, "node_3026": { "node_id": "node_3026", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0070)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 229.21 kg\n Factor of Safety: 1.56\n Max Deflection: 1.39e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 229.21236321801214, "fos_buckling": 1.5622987845604612, "fos_yielding": 4.16469698552372, "deflection": 0.0013904919232203478, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_3025", "improvement_over_parent": null }, "node_3027": { "node_id": "node_3027", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3026", "improvement_over_parent": null }, "node_3028": { "node_id": "node_3028", "content": "INITIAL DESIGN (Trace 440)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, 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_3029": { "node_id": "node_3029", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n\nPerformance:\n Mass: 159.26 kg\n Factor of Safety: 1.19\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": 159.26314842704997, "fos_buckling": 1.1857608848970687, "fos_yielding": 3.2706846956313904, "deflection": 0.0020377311569076645, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001812)" }, "parent_node_id": "node_3028", "improvement_over_parent": null }, "node_3030": { "node_id": "node_3030", "content": "MODIFICATION: Increase 0 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n\nPerformance:\n Mass: 161.42 kg\n Factor of Safety: 1.19\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.41550716265948, "fos_buckling": 1.185490404084468, "fos_yielding": 3.2706846956313904, "deflection": 0.0019743758188450343, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.195)" }, "parent_node_id": "node_3029", "improvement_over_parent": null }, "node_3031": { "node_id": "node_3031", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n\nPerformance:\n Mass: 164.19 kg\n Factor of Safety: 1.10\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.1853442578907, "fos_buckling": 1.1048715853972833, "fos_yielding": 3.2272543151303323, "deflection": 0.0019134597762727984, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001502)" }, "parent_node_id": "node_3030", "improvement_over_parent": null }, "node_3032": { "node_id": "node_3032", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nPerformance:\n Mass: 173.96 kg\n Factor of Safety: 1.27\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.96120929286062, "fos_buckling": 1.2742562534520885, "fos_yielding": 3.2374572514870312, "deflection": 0.001855588931405819, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002361)" }, "parent_node_id": "node_3031", "improvement_over_parent": null }, "node_3033": { "node_id": "node_3033", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.25 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.24885299990655, "fos_buckling": 1.5679119036886582, "fos_yielding": 4.151058397811525, "deflection": 0.0014504231015688865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.311)" }, "parent_node_id": "node_3032", "improvement_over_parent": null }, "node_3034": { "node_id": "node_3034", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3033", "improvement_over_parent": null }, "node_3035": { "node_id": "node_3035", "content": "INITIAL DESIGN (Trace 441)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0024)]\n\nPerformance:\n Mass: 131.18 kg\n Factor of Safety: 0.76\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": 131.18133890075418, "fos_buckling": 0.7577499995143302, "fos_yielding": 2.7723454648444754, "deflection": 0.002494731278808199, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3036": { "node_id": "node_3036", "content": "MODIFICATION: Increase 5 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0024)]\n\nPerformance:\n Mass: 132.18 kg\n Factor of Safety: 0.72\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": 132.1812812081048, "fos_buckling": 0.7162010788504699, "fos_yielding": 2.7723454648444754, "deflection": 0.0024847131553127587, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.346)" }, "parent_node_id": "node_3035", "improvement_over_parent": null }, "node_3037": { "node_id": "node_3037", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n\nPerformance:\n Mass: 152.88 kg\n Factor of Safety: 0.81\n Max Deflection: 2.15e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.8805817404579, "fos_buckling": 0.813152988057247, "fos_yielding": 3.204121998648116, "deflection": 0.0021499807587300793, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.167)" }, "parent_node_id": "node_3036", "improvement_over_parent": null }, "node_3038": { "node_id": "node_3038", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n\nPerformance:\n Mass: 159.45 kg\n Factor of Safety: 0.84\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": 159.44954575403034, "fos_buckling": 0.8426371415436568, "fos_yielding": 3.1783666828262236, "deflection": 0.0021321225091671587, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001912)" }, "parent_node_id": "node_3037", "improvement_over_parent": null }, "node_3039": { "node_id": "node_3039", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 185.43 kg\n Factor of Safety: 0.96\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.43391762341403, "fos_buckling": 0.9583507247166458, "fos_yielding": 3.6922629417862636, "deflection": 0.001834825290738211, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.176)" }, "parent_node_id": "node_3038", "improvement_over_parent": null }, "node_3040": { "node_id": "node_3040", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 209.18 kg\n Factor of Safety: 1.06\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.1778512325721, "fos_buckling": 1.0590326452341892, "fos_yielding": 4.160753651633887, "deflection": 0.0016277010963315626, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.140)" }, "parent_node_id": "node_3039", "improvement_over_parent": null }, "node_3041": { "node_id": "node_3041", "content": "MODIFICATION: Increase 10 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0039)]\n\nPerformance:\n Mass: 213.16 kg\n Factor of Safety: 1.06\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.16187555052934, "fos_buckling": 1.0642427478854954, "fos_yielding": 4.154167793284949, "deflection": 0.001625659657456065, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.538)" }, "parent_node_id": "node_3040", "improvement_over_parent": null }, "node_3042": { "node_id": "node_3042", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3041", "improvement_over_parent": null }, "node_3043": { "node_id": "node_3043", "content": "INITIAL DESIGN (Trace 442)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 188.58 kg\n Factor of Safety: 1.36\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.58137846627918, "fos_buckling": 1.359719423415251, "fos_yielding": 3.6535868496247934, "deflection": 0.0016930546485597853, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3044": { "node_id": "node_3044", "content": "MODIFICATION: Increase 8 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 191.27 kg\n Factor of Safety: 1.36\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.26745430864355, "fos_buckling": 1.3593333504601537, "fos_yielding": 3.6535868496247934, "deflection": 0.0016859598101183486, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.353)" }, "parent_node_id": "node_3043", "improvement_over_parent": null }, "node_3045": { "node_id": "node_3045", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n\nPerformance:\n Mass: 194.36 kg\n Factor of Safety: 1.40\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.36256843160075, "fos_buckling": 1.3994281886710085, "fos_yielding": 3.6160357815287263, "deflection": 0.0016629997121403507, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001693)" }, "parent_node_id": "node_3044", "improvement_over_parent": null }, "node_3046": { "node_id": "node_3046", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.20 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.20067674198117, "fos_buckling": 1.5676973885759569, "fos_yielding": 4.150416685867657, "deflection": 0.0014507694128943597, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.163)" }, "parent_node_id": "node_3045", "improvement_over_parent": null }, "node_3047": { "node_id": "node_3047", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3046", "improvement_over_parent": null }, "node_3048": { "node_id": "node_3048", "content": "INITIAL DESIGN (Trace 443)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 194.79 kg\n Factor of Safety: 1.01\n Max Deflection: 1.76e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.79320977509954, "fos_buckling": 1.0139975090460884, "fos_yielding": 4.144660991154371, "deflection": 0.001755262566888171, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3049": { "node_id": "node_3049", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 207.34 kg\n Factor of Safety: 1.02\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.3415673951958, "fos_buckling": 1.0244269322520574, "fos_yielding": 4.165558382034456, "deflection": 0.0016419715584142978, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_3048", "improvement_over_parent": null }, "node_3050": { "node_id": "node_3050", "content": "MODIFICATION: Increase 2 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 208.49 kg\n Factor of Safety: 1.03\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.48851803586578, "fos_buckling": 1.0285857267008989, "fos_yielding": 4.1617264818838, "deflection": 0.0016405588130910284, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.522)" }, "parent_node_id": "node_3049", "improvement_over_parent": null }, "node_3051": { "node_id": "node_3051", "content": "MODIFICATION: Increase 10 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0049)]\n\nPerformance:\n Mass: 214.72 kg\n Factor of Safety: 0.90\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.72117318978923, "fos_buckling": 0.9027257535318156, "fos_yielding": 4.16472318044974, "deflection": 0.0016257260971670306, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.580)" }, "parent_node_id": "node_3050", "improvement_over_parent": null }, "node_3052": { "node_id": "node_3052", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3051", "improvement_over_parent": null }, "node_3053": { "node_id": "node_3053", "content": "INITIAL DESIGN (Trace 444)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0026)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0021)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0026)]\n\nPerformance:\n Mass: 101.04 kg\n Factor of Safety: 0.69\n Max Deflection: 3.21e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 101.0416916716409, "fos_buckling": 0.6898739225522628, "fos_yielding": 1.7016667659611067, "deflection": 0.0032061287582114684, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3054": { "node_id": "node_3054", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0028)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n\nPerformance:\n Mass: 131.68 kg\n Factor of Safety: 0.88\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": 131.6784490519855, "fos_buckling": 0.8815173183971629, "fos_yielding": 2.219412779253397, "deflection": 0.0024644588852584526, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_3053", "improvement_over_parent": null }, "node_3055": { "node_id": "node_3055", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n\nPerformance:\n Mass: 159.37 kg\n Factor of Safety: 1.05\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": 159.36561617683432, "fos_buckling": 1.047705424280516, "fos_yielding": 2.688184128314381, "deflection": 0.0020394809839891634, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.224)" }, "parent_node_id": "node_3054", "improvement_over_parent": null }, "node_3056": { "node_id": "node_3056", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 187.41 kg\n Factor of Safety: 1.21\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.41034932128508, "fos_buckling": 1.2092633964271173, "fos_yielding": 3.163953046695402, "deflection": 0.0017370142671492437, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.190)" }, "parent_node_id": "node_3055", "improvement_over_parent": null }, "node_3057": { "node_id": "node_3057", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 210.23 kg\n Factor of Safety: 1.34\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.2268084807595, "fos_buckling": 1.3356720453627595, "fos_yielding": 3.5518026494118446, "deflection": 0.0015504618534548113, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.133)" }, "parent_node_id": "node_3056", "improvement_over_parent": null }, "node_3058": { "node_id": "node_3058", "content": "MODIFICATION: Increase 7 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 218.18 kg\n Factor of Safety: 1.39\n Max Deflection: 1.46e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.18144522143749, "fos_buckling": 1.3932646401246067, "fos_yielding": 3.57164738132728, "deflection": 0.0014602743922334594, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.245)" }, "parent_node_id": "node_3057", "improvement_over_parent": null }, "node_3059": { "node_id": "node_3059", "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.23 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.23260245688633, "fos_buckling": 1.5677375283942407, "fos_yielding": 4.1520403289971135, "deflection": 0.0014506504571872266, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.185)" }, "parent_node_id": "node_3058", "improvement_over_parent": null }, "node_3060": { "node_id": "node_3060", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3059", "improvement_over_parent": null }, "node_3061": { "node_id": "node_3061", "content": "INITIAL DESIGN (Trace 445)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 150.55 kg\n Factor of Safety: 0.91\n Max Deflection: 2.15e+11 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.5474086262251, "fos_buckling": 0.9112436249883554, "fos_yielding": 3.313228231637761, "deflection": 215392295357.9966, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3062": { "node_id": "node_3062", "content": "MODIFICATION: Increase 1 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 154.15 kg\n Factor of Safety: 0.91\n Max Deflection: 1.86e+11 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.1542624457471, "fos_buckling": 0.9112952382364776, "fos_yielding": 3.313837912328379, "deflection": 186002690587.9013, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.377)" }, "parent_node_id": "node_3061", "improvement_over_parent": null }, "node_3063": { "node_id": "node_3063", "content": "MODIFICATION: Increase 4 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 164.77 kg\n Factor of Safety: 1.20\n Max Deflection: 1.86e+11 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.77489461619697, "fos_buckling": 1.2048319232656788, "fos_yielding": 3.313837912328379, "deflection": 186002690587.9013, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.477)" }, "parent_node_id": "node_3062", "improvement_over_parent": null }, "node_3064": { "node_id": "node_3064", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 169.64 kg\n Factor of Safety: 1.20\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.64017897366932, "fos_buckling": 1.1996497901726066, "fos_yielding": 3.3189170306757827, "deflection": 0.0019520367406376125, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001988)" }, "parent_node_id": "node_3063", "improvement_over_parent": null }, "node_3065": { "node_id": "node_3065", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n\nPerformance:\n Mass: 173.73 kg\n Factor of Safety: 1.25\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.73149851845162, "fos_buckling": 1.2542208630825424, "fos_yielding": 3.3189170306757836, "deflection": 0.0018538807047068031, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001841)" }, "parent_node_id": "node_3064", "improvement_over_parent": null }, "node_3066": { "node_id": "node_3066", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 219.63 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 219.62701565708826, "fos_buckling": 1.5225554452393206, "fos_yielding": 4.193271116671761, "deflection": 0.001471057408880983, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.290)" }, "parent_node_id": "node_3065", "improvement_over_parent": null }, "node_3067": { "node_id": "node_3067", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.18 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.18142299278628, "fos_buckling": 1.567491581104787, "fos_yielding": 4.149582479475229, "deflection": 0.0014508997106659654, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_3066", "improvement_over_parent": null }, "node_3068": { "node_id": "node_3068", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3067", "improvement_over_parent": null }, "node_3069": { "node_id": "node_3069", "content": "INITIAL DESIGN (Trace 446)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0031)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n\nPerformance:\n Mass: 100.98 kg\n Factor of Safety: 0.08\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": 100.98120796284029, "fos_buckling": 0.07863146803930116, "fos_yielding": 1.162297915199022, "deflection": 0.009226916444712803, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3070": { "node_id": "node_3070", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n\nPerformance:\n Mass: 117.20 kg\n Factor of Safety: 0.09\n Max Deflection: 7.95e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.20496144877907, "fos_buckling": 0.08976220605614951, "fos_yielding": 1.3497370944480647, "deflection": 0.007952096006885512, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.170)" }, "parent_node_id": "node_3069", "improvement_over_parent": null }, "node_3071": { "node_id": "node_3071", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n\nPerformance:\n Mass: 148.77 kg\n Factor of Safety: 0.11\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": 148.76633571977223, "fos_buckling": 0.11023779238458999, "fos_yielding": 1.7152128234170014, "deflection": 0.00626833251386561, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.290)" }, "parent_node_id": "node_3070", "improvement_over_parent": null }, "node_3072": { "node_id": "node_3072", "content": "MODIFICATION: Increase 9 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n\nPerformance:\n Mass: 150.84 kg\n Factor of Safety: 0.11\n Max Deflection: 5.78e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.84067343056978, "fos_buckling": 0.11021352210543184, "fos_yielding": 1.7979430989362575, "deflection": 0.0057817012450835405, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.266)" }, "parent_node_id": "node_3071", "improvement_over_parent": null }, "node_3073": { "node_id": "node_3073", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n\nPerformance:\n Mass: 186.46 kg\n Factor of Safety: 1.35\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.46107659816562, "fos_buckling": 1.3515749698610648, "fos_yielding": 3.4693743237221986, "deflection": 0.0017326657571430737, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004691)" }, "parent_node_id": "node_3072", "improvement_over_parent": null }, "node_3074": { "node_id": "node_3074", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.30 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.3026077940841, "fos_buckling": 1.568286113747684, "fos_yielding": 4.152130986010496, "deflection": 0.0014501642984012248, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.217)" }, "parent_node_id": "node_3073", "improvement_over_parent": null }, "node_3075": { "node_id": "node_3075", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3074", "improvement_over_parent": null }, "node_3076": { "node_id": "node_3076", "content": "INITIAL DESIGN (Trace 447)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0016)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0007)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0005)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0009)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0021)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0021)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0009)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0011)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0021)]\n\nPerformance:\n Mass: 86.38 kg\n Factor of Safety: 0.58\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": 86.38354807989522, "fos_buckling": 0.5778387354248111, "fos_yielding": 1.6238717026319247, "deflection": 0.0036974664936876276, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3077": { "node_id": "node_3077", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0019)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0006)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0024)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0025)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0024)]\n\nPerformance:\n Mass: 99.62 kg\n Factor of Safety: 0.66\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": 99.61611647117894, "fos_buckling": 0.6606797619100281, "fos_yielding": 1.8721225830788937, "deflection": 0.0032090649083963588, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.159)" }, "parent_node_id": "node_3076", "improvement_over_parent": null }, "node_3078": { "node_id": "node_3078", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0008)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0031)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n\nPerformance:\n Mass: 125.44 kg\n Factor of Safety: 0.82\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": 125.44461565986734, "fos_buckling": 0.8181601672537215, "fos_yielding": 2.356294966729438, "deflection": 0.002552602350681218, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.272)" }, "parent_node_id": "node_3077", "improvement_over_parent": null }, "node_3079": { "node_id": "node_3079", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0009)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 144.77 kg\n Factor of Safety: 0.93\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": 144.76880005788863, "fos_buckling": 0.9323843231079397, "fos_yielding": 2.7182046952365475, "deflection": 0.0022146427333669615, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.163)" }, "parent_node_id": "node_3078", "improvement_over_parent": null }, "node_3080": { "node_id": "node_3080", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 174.07 kg\n Factor of Safety: 1.10\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.06705534269742, "fos_buckling": 1.0997850654076504, "fos_yielding": 3.2663620058433156, "deflection": 0.0018453775147404031, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.217)" }, "parent_node_id": "node_3079", "improvement_over_parent": null }, "node_3081": { "node_id": "node_3081", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 221.50 kg\n Factor of Safety: 1.36\n Max Deflection: 1.45e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.50264011817603, "fos_buckling": 1.3563441854780645, "fos_yielding": 4.152442390203612, "deflection": 0.0014546340482820734, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_3080", "improvement_over_parent": null }, "node_3082": { "node_id": "node_3082", "content": "MODIFICATION: Increase 3 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.41 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.40685712972532, "fos_buckling": 1.5688454701146988, "fos_yielding": 4.1540087421698875, "deflection": 0.0014495105123227751, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.637)" }, "parent_node_id": "node_3081", "improvement_over_parent": null }, "node_3083": { "node_id": "node_3083", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3082", "improvement_over_parent": null }, "node_3084": { "node_id": "node_3084", "content": "INITIAL DESIGN (Trace 448)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0021)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0009)]\n\nPerformance:\n Mass: 83.17 kg\n Factor of Safety: 0.07\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 83.16687310286233, "fos_buckling": 0.07041944050567808, "fos_yielding": 0.8240785087881104, "deflection": 0.011763695840978668, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3085": { "node_id": "node_3085", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0025)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0011)]\n\nPerformance:\n Mass: 96.82 kg\n Factor of Safety: 0.08\n Max Deflection: 1.01e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 96.82262657370202, "fos_buckling": 0.08075305202497648, "fos_yielding": 0.9606427563074083, "deflection": 0.010102929237873304, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.172)" }, "parent_node_id": "node_3084", "improvement_over_parent": null }, "node_3086": { "node_id": "node_3086", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0029)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n\nPerformance:\n Mass: 114.13 kg\n Factor of Safety: 0.09\n Max Deflection: 8.57e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.12840779552836, "fos_buckling": 0.09335654467974983, "fos_yielding": 1.1343144534157978, "deflection": 0.008568963179991158, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.189)" }, "parent_node_id": "node_3085", "improvement_over_parent": null }, "node_3087": { "node_id": "node_3087", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n\nPerformance:\n Mass: 129.43 kg\n Factor of Safety: 0.10\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": 129.42699455019985, "fos_buckling": 0.10404234029385878, "fos_yielding": 1.288449718835154, "deflection": 0.0075542906516743395, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.143)" }, "parent_node_id": "node_3086", "improvement_over_parent": null }, "node_3088": { "node_id": "node_3088", "content": "MODIFICATION: Increase 9 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nPerformance:\n Mass: 132.90 kg\n Factor of Safety: 0.10\n Max Deflection: 6.39e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.90039884178572, "fos_buckling": 0.10400392493872787, "fos_yielding": 1.6801939216691, "deflection": 0.006391079378804378, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.590)" }, "parent_node_id": "node_3087", "improvement_over_parent": null }, "node_3089": { "node_id": "node_3089", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 166.14 kg\n Factor of Safety: 0.84\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": 166.14358502859642, "fos_buckling": 0.8385037944503078, "fos_yielding": 3.2142829348807154, "deflection": 0.002007333990908418, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004355)" }, "parent_node_id": "node_3088", "improvement_over_parent": null }, "node_3090": { "node_id": "node_3090", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 213.40 kg\n Factor of Safety: 1.03\n Max Deflection: 1.57e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.40048796177672, "fos_buckling": 1.0307589227093734, "fos_yielding": 4.121996056510163, "deflection": 0.0015659662213406411, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.311)" }, "parent_node_id": "node_3089", "improvement_over_parent": null }, "node_3091": { "node_id": "node_3091", "content": "MODIFICATION: Increase 7 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.27 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.2659641598549, "fos_buckling": 1.5683295395448182, "fos_yielding": 4.15151616673856, "deflection": 0.001450399789851795, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.321)" }, "parent_node_id": "node_3090", "improvement_over_parent": null }, "node_3092": { "node_id": "node_3092", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3091", "improvement_over_parent": null }, "node_3093": { "node_id": "node_3093", "content": "INITIAL DESIGN (Trace 449)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 192.94 kg\n Factor of Safety: 0.70\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.93529633886408, "fos_buckling": 0.6981188814808503, "fos_yielding": 4.088181915907988, "deflection": 0.001743712592231148, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3094": { "node_id": "node_3094", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 205.48 kg\n Factor of Safety: 0.79\n Max Deflection: 1.70e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.48365395896033, "fos_buckling": 0.7931728591556348, "fos_yielding": 4.100599100085392, "deflection": 0.00169647896810341, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_3093", "improvement_over_parent": null }, "node_3095": { "node_id": "node_3095", "content": "MODIFICATION: Increase 7 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 220.68 kg\n Factor of Safety: 1.56\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 220.6793925137404, "fos_buckling": 1.5567940847760855, "fos_yielding": 4.1533855235175645, "deflection": 0.0014882784770365903, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.587)" }, "parent_node_id": "node_3094", "improvement_over_parent": null }, "node_3096": { "node_id": "node_3096", "content": "MODIFICATION: Increase 1 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.22 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.21903456961533, "fos_buckling": 1.5680390150021797, "fos_yielding": 4.1512722426330315, "deflection": 0.0014508316817463793, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.186)" }, "parent_node_id": "node_3095", "improvement_over_parent": null }, "node_3097": { "node_id": "node_3097", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3096", "improvement_over_parent": null }, "node_3098": { "node_id": "node_3098", "content": "INITIAL DESIGN (Trace 450)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 146.66 kg\n Factor of Safety: 0.97\n Max Deflection: 2.21e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.6569300115144, "fos_buckling": 0.9713082356775788, "fos_yielding": 2.7862417358003224, "deflection": 0.0022145598156399814, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3099": { "node_id": "node_3099", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n\nPerformance:\n Mass: 150.14 kg\n Factor of Safety: 1.12\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": 150.1370185635789, "fos_buckling": 1.1217783868883475, "fos_yielding": 2.795334017940276, "deflection": 0.0021469317246492806, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001549)" }, "parent_node_id": "node_3098", "improvement_over_parent": null }, "node_3100": { "node_id": "node_3100", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n\nPerformance:\n Mass: 196.17 kg\n Factor of Safety: 1.41\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.16875755818893, "fos_buckling": 1.4102453056716215, "fos_yielding": 3.649375705117729, "deflection": 0.0016479279103110075, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.332)" }, "parent_node_id": "node_3099", "improvement_over_parent": null }, "node_3101": { "node_id": "node_3101", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 223.31 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.30715054830225, "fos_buckling": 1.5682833084482064, "fos_yielding": 4.1522254057759875, "deflection": 0.0014501326972733823, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.152)" }, "parent_node_id": "node_3100", "improvement_over_parent": null }, "node_3102": { "node_id": "node_3102", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3101", "improvement_over_parent": null }, "node_3103": { "node_id": "node_3103", "content": "INITIAL DESIGN (Trace 451)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 181.38 kg\n Factor of Safety: 1.02\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.37527711357117, "fos_buckling": 1.017285155327642, "fos_yielding": 3.5375514311474956, "deflection": 0.0018634409314899699, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3104": { "node_id": "node_3104", "content": "MODIFICATION: Increase 1 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 184.63 kg\n Factor of Safety: 1.04\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.62574267947906, "fos_buckling": 1.0372015328141064, "fos_yielding": 3.534246099104282, "deflection": 0.0017897836039061008, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.300)" }, "parent_node_id": "node_3103", "improvement_over_parent": null }, "node_3105": { "node_id": "node_3105", "content": "MODIFICATION: Increase 0 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 188.05 kg\n Factor of Safety: 1.30\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.04629797628274, "fos_buckling": 1.3029788124632815, "fos_yielding": 3.547372854991286, "deflection": 0.0017080812322794318, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.311)" }, "parent_node_id": "node_3104", "improvement_over_parent": null }, "node_3106": { "node_id": "node_3106", "content": "MODIFICATION: Increase 5 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 189.54 kg\n Factor of Safety: 1.32\n Max Deflection: 1.70e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.53881911996353, "fos_buckling": 1.3200258938885683, "fos_yielding": 3.5431836375944066, "deflection": 0.001699904737373679, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.429)" }, "parent_node_id": "node_3105", "improvement_over_parent": null }, "node_3107": { "node_id": "node_3107", "content": "MODIFICATION: Increase 2 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 190.29 kg\n Factor of Safety: 1.37\n Max Deflection: 1.70e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.29216977343404, "fos_buckling": 1.3748083804019497, "fos_yielding": 3.5402042973627172, "deflection": 0.0016981477150379647, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.357)" }, "parent_node_id": "node_3106", "improvement_over_parent": null }, "node_3108": { "node_id": "node_3108", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.21 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.20870090993589, "fos_buckling": 1.567681002556284, "fos_yielding": 4.150149242338615, "deflection": 0.0014507282434328274, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.190)" }, "parent_node_id": "node_3107", "improvement_over_parent": null }, "node_3109": { "node_id": "node_3109", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3108", "improvement_over_parent": null }, "node_3110": { "node_id": "node_3110", "content": "INITIAL DESIGN (Trace 452)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 134.80 kg\n Factor of Safety: 0.77\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": 134.79997400799212, "fos_buckling": 0.7746211674582429, "fos_yielding": 2.5865840769533914, "deflection": 0.0024406741709873335, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3111": { "node_id": "node_3111", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 154.43 kg\n Factor of Safety: 0.87\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": 154.4296996340377, "fos_buckling": 0.868726937384258, "fos_yielding": 2.9619090711054046, "deflection": 0.002133042668651045, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.155)" }, "parent_node_id": "node_3110", "improvement_over_parent": null }, "node_3112": { "node_id": "node_3112", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n\nPerformance:\n Mass: 158.14 kg\n Factor of Safety: 1.09\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": 158.13541618935335, "fos_buckling": 1.0904394108953452, "fos_yielding": 2.9712508357259506, "deflection": 0.002071679862214847, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001656)" }, "parent_node_id": "node_3111", "improvement_over_parent": null }, "node_3113": { "node_id": "node_3113", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n\nPerformance:\n Mass: 189.61 kg\n Factor of Safety: 1.26\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.61387324341285, "fos_buckling": 1.2641361805699376, "fos_yielding": 3.560277625835842, "deflection": 0.0017307600894730735, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.215)" }, "parent_node_id": "node_3112", "improvement_over_parent": null }, "node_3114": { "node_id": "node_3114", "content": "MODIFICATION: Increase 0 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n\nPerformance:\n Mass: 191.82 kg\n Factor of Safety: 1.38\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.82411455336816, "fos_buckling": 1.3841204031814716, "fos_yielding": 3.5688919096203158, "deflection": 0.0016847664082252293, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.181)" }, "parent_node_id": "node_3113", "improvement_over_parent": null }, "node_3115": { "node_id": "node_3115", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 223.43 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.42846834319243, "fos_buckling": 1.5689714368043137, "fos_yielding": 4.154545171266684, "deflection": 0.001449336052266578, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_3114", "improvement_over_parent": null }, "node_3116": { "node_id": "node_3116", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3115", "improvement_over_parent": null }, "node_3117": { "node_id": "node_3117", "content": "INITIAL DESIGN (Trace 453)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 172.58 kg\n Factor of Safety: 0.99\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.58409316571402, "fos_buckling": 0.985271215568082, "fos_yielding": 2.7657968441742984, "deflection": 0.0017978598441753969, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3118": { "node_id": "node_3118", "content": "MODIFICATION: Increase 3 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 173.08 kg\n Factor of Safety: 0.98\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.07769727667147, "fos_buckling": 0.9846633158761618, "fos_yielding": 2.7640903830264225, "deflection": 0.001796800320831798, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.235)" }, "parent_node_id": "node_3117", "improvement_over_parent": null }, "node_3119": { "node_id": "node_3119", "content": "MODIFICATION: Increase 6 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 181.01 kg\n Factor of Safety: 1.14\n Max Deflection: 1.76e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.00735331358888, "fos_buckling": 1.1376093723133043, "fos_yielding": 3.4290521314657454, "deflection": 0.0017633310163682624, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.497)" }, "parent_node_id": "node_3118", "improvement_over_parent": null }, "node_3120": { "node_id": "node_3120", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 219.46 kg\n Factor of Safety: 1.34\n Max Deflection: 1.46e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 219.464705477733, "fos_buckling": 1.3446355118749294, "fos_yielding": 4.15383804616845, "deflection": 0.0014581332343724504, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.233)" }, "parent_node_id": "node_3119", "improvement_over_parent": null }, "node_3121": { "node_id": "node_3121", "content": "MODIFICATION: Increase 3 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 221.36 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 221.36203269334192, "fos_buckling": 1.5690499395877404, "fos_yielding": 4.1552451306224265, "deflection": 0.0014528955860270397, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.634)" }, "parent_node_id": "node_3120", "improvement_over_parent": null }, "node_3122": { "node_id": "node_3122", "content": "MODIFICATION: Increase 8 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.19 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.19489455707492, "fos_buckling": 1.5676652142692409, "fos_yielding": 4.150147875903475, "deflection": 0.001450851370876412, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.297)" }, "parent_node_id": "node_3121", "improvement_over_parent": null }, "node_3123": { "node_id": "node_3123", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3122", "improvement_over_parent": null }, "node_3124": { "node_id": "node_3124", "content": "INITIAL DESIGN (Trace 454)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 157.26 kg\n Factor of Safety: 0.97\n Max Deflection: 1.93e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.2637215167794, "fos_buckling": 0.9747699089225474, "fos_yielding": 2.3783898625351014, "deflection": 0.0019250353053717664, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3125": { "node_id": "node_3125", "content": "MODIFICATION: Increase 4 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 164.98 kg\n Factor of Safety: 1.16\n Max Deflection: 1.89e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.98313637746617, "fos_buckling": 1.1608745949411479, "fos_yielding": 3.266291170620666, "deflection": 0.0018925550463160965, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.416)" }, "parent_node_id": "node_3124", "improvement_over_parent": null }, "node_3126": { "node_id": "node_3126", "content": "MODIFICATION: Increase 5 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 166.12 kg\n Factor of Safety: 1.12\n Max Deflection: 1.89e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.12411232879407, "fos_buckling": 1.1155574972373252, "fos_yielding": 3.2646191765586225, "deflection": 0.0018913688805762478, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.330)" }, "parent_node_id": "node_3125", "improvement_over_parent": null }, "node_3127": { "node_id": "node_3127", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nPerformance:\n Mass: 176.02 kg\n Factor of Safety: 1.29\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.01950975230272, "fos_buckling": 1.2872055862738025, "fos_yielding": 3.2749448198310573, "deflection": 0.0018341681618438592, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002392)" }, "parent_node_id": "node_3126", "improvement_over_parent": null }, "node_3128": { "node_id": "node_3128", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.32 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.31903879769237, "fos_buckling": 1.568419290350533, "fos_yielding": 4.151495196440614, "deflection": 0.0014500039278489882, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.295)" }, "parent_node_id": "node_3127", "improvement_over_parent": null }, "node_3129": { "node_id": "node_3129", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3128", "improvement_over_parent": null }, "node_3130": { "node_id": "node_3130", "content": "INITIAL DESIGN (Trace 455)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0040)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0008)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n\nPerformance:\n Mass: 116.16 kg\n Factor of Safety: 0.07\n Max Deflection: 7.64e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 116.16083672489768, "fos_buckling": 0.06941969608554537, "fos_yielding": 1.0688175201563976, "deflection": 0.007643249745931817, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3131": { "node_id": "node_3131", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0009)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nPerformance:\n Mass: 134.38 kg\n Factor of Safety: 0.08\n Max Deflection: 6.61e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.37867711073855, "fos_buckling": 0.07936916514903057, "fos_yielding": 1.238213018705272, "deflection": 0.006609941587321905, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.168)" }, "parent_node_id": "node_3130", "improvement_over_parent": null }, "node_3132": { "node_id": "node_3132", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0009)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n\nPerformance:\n Mass: 137.17 kg\n Factor of Safety: 0.08\n Max Deflection: 6.60e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.17084630639368, "fos_buckling": 0.07934561725669186, "fos_yielding": 1.2378456555510533, "deflection": 0.006599913275758791, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001515)" }, "parent_node_id": "node_3131", "improvement_over_parent": null }, "node_3133": { "node_id": "node_3133", "content": "MODIFICATION: Increase 8 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0009)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0036)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n\nPerformance:\n Mass: 141.55 kg\n Factor of Safety: 0.08\n Max Deflection: 5.96e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.54880308562807, "fos_buckling": 0.07930872366573555, "fos_yielding": 1.2372700904113278, "deflection": 0.005955713819236748, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.495)" }, "parent_node_id": "node_3132", "improvement_over_parent": null }, "node_3134": { "node_id": "node_3134", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0046)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 180.10 kg\n Factor of Safety: 0.10\n Max Deflection: 4.69e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.09667323329273, "fos_buckling": 0.09859162199428873, "fos_yielding": 1.5808553072471843, "deflection": 0.004692116216944505, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.300)" }, "parent_node_id": "node_3133", "improvement_over_parent": null }, "node_3135": { "node_id": "node_3135", "content": "MODIFICATION: Increase 3 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0085)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0046)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 192.12 kg\n Factor of Safety: 0.10\n Max Deflection: 4.69e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.12041705095228, "fos_buckling": 0.09859162199428877, "fos_yielding": 1.5808553072471847, "deflection": 0.0046940350420486745, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.393)" }, "parent_node_id": "node_3134", "improvement_over_parent": null }, "node_3136": { "node_id": "node_3136", "content": "MODIFICATION: Increase 8 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0085)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0068)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 198.65 kg\n Factor of Safety: 0.10\n Max Deflection: 4.39e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.64850201544618, "fos_buckling": 0.0985234991338531, "fos_yielding": 1.5797629995714797, "deflection": 0.004386351784637518, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.460)" }, "parent_node_id": "node_3135", "improvement_over_parent": null }, "node_3137": { "node_id": "node_3137", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0085)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0068)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 241.30 kg\n Factor of Safety: 1.24\n Max Deflection: 1.44e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 241.30047036681958, "fos_buckling": 1.2391608978365563, "fos_yielding": 4.776023196700364, "deflection": 0.0014422478922935986, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_3136", "improvement_over_parent": null }, "node_3138": { "node_id": "node_3138", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3137", "improvement_over_parent": null }, "node_3139": { "node_id": "node_3139", "content": "INITIAL DESIGN (Trace 456)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n\nPerformance:\n Mass: 147.86 kg\n Factor of Safety: 1.10\n Max Deflection: 2.17e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.8638038597042, "fos_buckling": 1.1014417225199291, "fos_yielding": 2.764481253874779, "deflection": 0.002174101099590611, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3140": { "node_id": "node_3140", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 175.29 kg\n Factor of Safety: 1.27\n Max Deflection: 1.84e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.29472892919875, "fos_buckling": 1.2706365048032433, "fos_yielding": 3.275631493756383, "deflection": 0.0018371232383838855, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.199)" }, "parent_node_id": "node_3139", "improvement_over_parent": null }, "node_3141": { "node_id": "node_3141", "content": "MODIFICATION: Increase 2 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 175.89 kg\n Factor of Safety: 1.29\n Max Deflection: 1.84e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.89051667961587, "fos_buckling": 1.286351960715126, "fos_yielding": 3.2733635845135045, "deflection": 0.0018355498825921455, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.290)" }, "parent_node_id": "node_3140", "improvement_over_parent": null }, "node_3142": { "node_id": "node_3142", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.16 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.15927799165536, "fos_buckling": 1.5674586974572087, "fos_yielding": 4.149540729273953, "deflection": 0.0014510673407151836, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.295)" }, "parent_node_id": "node_3141", "improvement_over_parent": null }, "node_3143": { "node_id": "node_3143", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3142", "improvement_over_parent": null }, "node_3144": { "node_id": "node_3144", "content": "INITIAL DESIGN (Trace 457)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n\nPerformance:\n Mass: 142.94 kg\n Factor of Safety: 0.04\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.93809009259414, "fos_buckling": 0.03650104991411624, "fos_yielding": 0.994203749972824, "deflection": 0.013040106728332543, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3145": { "node_id": "node_3145", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 174.02 kg\n Factor of Safety: 1.16\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.02168017924913, "fos_buckling": 1.1556577811938753, "fos_yielding": 3.641489686189222, "deflection": 0.0019607595491486205, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004053)" }, "parent_node_id": "node_3144", "improvement_over_parent": null }, "node_3146": { "node_id": "node_3146", "content": "MODIFICATION: Increase 1 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 177.64 kg\n Factor of Safety: 1.15\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.63775184546466, "fos_buckling": 1.1455182939356563, "fos_yielding": 3.6316770751072425, "deflection": 0.0018613582272903188, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.340)" }, "parent_node_id": "node_3145", "improvement_over_parent": null }, "node_3147": { "node_id": "node_3147", "content": "MODIFICATION: Increase 3 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 178.80 kg\n Factor of Safety: 1.15\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.80010656330427, "fos_buckling": 1.1463663786504805, "fos_yielding": 3.6326018331566745, "deflection": 0.0018614850622222887, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.381)" }, "parent_node_id": "node_3146", "improvement_over_parent": null }, "node_3148": { "node_id": "node_3148", "content": "MODIFICATION: Increase 9 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 184.49 kg\n Factor of Safety: 1.31\n Max Deflection: 1.76e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.4909249217215, "fos_buckling": 1.3121362377233128, "fos_yielding": 3.6227155809545466, "deflection": 0.0017619706664825194, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.198)" }, "parent_node_id": "node_3147", "improvement_over_parent": null }, "node_3149": { "node_id": "node_3149", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 189.79 kg\n Factor of Safety: 1.39\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.79277625119272, "fos_buckling": 1.385390761608783, "fos_yielding": 3.586648823968795, "deflection": 0.001684141104364812, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002181)" }, "parent_node_id": "node_3148", "improvement_over_parent": null }, "node_3150": { "node_id": "node_3150", "content": "MODIFICATION: Increase 8 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 195.33 kg\n Factor of Safety: 1.35\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.32673557689168, "fos_buckling": 1.3532635239812516, "fos_yielding": 3.5879195795230756, "deflection": 0.001676342224911706, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.582)" }, "parent_node_id": "node_3149", "improvement_over_parent": null }, "node_3151": { "node_id": "node_3151", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0049)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 226.48 kg\n Factor of Safety: 1.52\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 226.4819149076443, "fos_buckling": 1.5224550178209482, "fos_yielding": 4.1605645785216385, "deflection": 0.0014477924775565091, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.176)" }, "parent_node_id": "node_3150", "improvement_over_parent": null }, "node_3152": { "node_id": "node_3152", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 458)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3154": { "node_id": "node_3154", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n\nPerformance:\n Mass: 140.22 kg\n Factor of Safety: 1.02\n Max Deflection: 2.35e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.2246653204957, "fos_buckling": 1.0176404313632939, "fos_yielding": 2.7447369654291287, "deflection": 0.0023514378933151715, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001622)" }, "parent_node_id": "node_3153", "improvement_over_parent": null }, "node_3155": { "node_id": "node_3155", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 183.33 kg\n Factor of Safety: 1.28\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.32887933120958, "fos_buckling": 1.280845358598751, "fos_yielding": 3.586452092560652, "deflection": 0.00180994531907655, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.332)" }, "parent_node_id": "node_3154", "improvement_over_parent": null }, "node_3156": { "node_id": "node_3156", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n\nPerformance:\n Mass: 187.75 kg\n Factor of Safety: 1.34\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.74705117947454, "fos_buckling": 1.33842992932443, "fos_yielding": 3.586452092560651, "deflection": 0.0017171791019420471, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002000)" }, "parent_node_id": "node_3155", "improvement_over_parent": null }, "node_3157": { "node_id": "node_3157", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n\nPerformance:\n Mass: 190.78 kg\n Factor of Safety: 1.38\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.78301454773703, "fos_buckling": 1.3778494422608267, "fos_yielding": 3.549670575343096, "deflection": 0.0016938238794083336, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001658)" }, "parent_node_id": "node_3156", "improvement_over_parent": null }, "node_3158": { "node_id": "node_3158", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.43 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.4328474661107, "fos_buckling": 1.5690218592821312, "fos_yielding": 4.1547210963754395, "deflection": 0.0014492870539630134, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.188)" }, "parent_node_id": "node_3157", "improvement_over_parent": null }, "node_3159": { "node_id": "node_3159", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 459)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 204.81 kg\n Factor of Safety: 0.98\n Max Deflection: 1.58e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.8052553634502, "fos_buckling": 0.9845022921601958, "fos_yielding": 4.1184537461143425, "deflection": 0.0015830842043145484, "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 0 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 209.79 kg\n Factor of Safety: 1.37\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.78932215125542, "fos_buckling": 1.3695084292751896, "fos_yielding": 4.139459417403117, "deflection": 0.0014962400359573318, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.422)" }, "parent_node_id": "node_3160", "improvement_over_parent": null }, "node_3162": { "node_id": "node_3162", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 222.34 kg\n Factor of Safety: 1.56\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 222.33767977135167, "fos_buckling": 1.563734746909584, "fos_yielding": 4.1539095061766815, "deflection": 0.0014537775614837348, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_3161", "improvement_over_parent": null }, "node_3163": { "node_id": "node_3163", "content": "MODIFICATION: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.27 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.26592863935625, "fos_buckling": 1.5680284876544077, "fos_yielding": 4.15134312715033, "deflection": 0.001450381822502727, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.195)" }, "parent_node_id": "node_3162", "improvement_over_parent": null }, "node_3164": { "node_id": "node_3164", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3163", "improvement_over_parent": null }, "node_3165": { "node_id": "node_3165", "content": "INITIAL DESIGN (Trace 460)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0025)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0022)]\n\nPerformance:\n Mass: 99.14 kg\n Factor of Safety: 0.03\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": 99.13717220496724, "fos_buckling": 0.029859600177475135, "fos_yielding": 0.6638602297310352, "deflection": 0.010689138222543053, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3166": { "node_id": "node_3166", "content": "MODIFICATION: Increase 9 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0025)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 109.56 kg\n Factor of Safety: 0.03\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.5600378987425, "fos_buckling": 0.029826481097414696, "fos_yielding": 0.6631239023868403, "deflection": 0.01022242413198373, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.623)" }, "parent_node_id": "node_3165", "improvement_over_parent": null }, "node_3167": { "node_id": "node_3167", "content": "MODIFICATION: Increase 6 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 115.66 kg\n Factor of Safety: 0.03\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.65513798908479, "fos_buckling": 0.02982648109741469, "fos_yielding": 0.6631239023868402, "deflection": 0.010228162582457045, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.462)" }, "parent_node_id": "node_3166", "improvement_over_parent": null }, "node_3168": { "node_id": "node_3168", "content": "MODIFICATION: Increase 8 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 117.71 kg\n Factor of Safety: 0.03\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.71289555388164, "fos_buckling": 0.029819951171257793, "fos_yielding": 0.6629787243451759, "deflection": 0.010227563377400975, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.350)" }, "parent_node_id": "node_3167", "improvement_over_parent": null }, "node_3169": { "node_id": "node_3169", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 153.88 kg\n Factor of Safety: 0.04\n Max Deflection: 7.82e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.88207057864614, "fos_buckling": 0.038229358246223664, "fos_yielding": 0.8700881193777011, "deflection": 0.007824943594276716, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.332)" }, "parent_node_id": "node_3168", "improvement_over_parent": null }, "node_3170": { "node_id": "node_3170", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 178.55 kg\n Factor of Safety: 0.04\n Max Deflection: 6.74e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.5476069047459, "fos_buckling": 0.04375994887968221, "fos_yielding": 1.0125384484385065, "deflection": 0.00674419626103897, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.176)" }, "parent_node_id": "node_3169", "improvement_over_parent": null }, "node_3171": { "node_id": "node_3171", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 222.16 kg\n Factor of Safety: 1.42\n Max Deflection: 1.45e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 222.1586611475066, "fos_buckling": 1.4220269197037188, "fos_yielding": 4.156635084463162, "deflection": 0.0014523427586106467, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_3170", "improvement_over_parent": null }, "node_3172": { "node_id": "node_3172", "content": "MODIFICATION: Increase 2 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.27 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.27470054263728, "fos_buckling": 1.5681195934976158, "fos_yielding": 4.151841638155348, "deflection": 0.0014503104209454122, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.502)" }, "parent_node_id": "node_3171", "improvement_over_parent": null }, "node_3173": { "node_id": "node_3173", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3172", "improvement_over_parent": null }, "node_3174": { "node_id": "node_3174", "content": "INITIAL DESIGN (Trace 461)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0018)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0024)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0024)]\n\nPerformance:\n Mass: 95.95 kg\n Factor of Safety: 0.73\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": 95.94778254952278, "fos_buckling": 0.7258825491569074, "fos_yielding": 1.8617505674221362, "deflection": 0.0034211723892899363, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3175": { "node_id": "node_3175", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0018)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0024)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n\nPerformance:\n Mass: 98.67 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": 98.66692154606578, "fos_buckling": 0.7685939112848735, "fos_yielding": 1.8387373891436656, "deflection": 0.0032562477233830916, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001077)" }, "parent_node_id": "node_3174", "improvement_over_parent": null }, "node_3176": { "node_id": "node_3176", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0027)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n\nPerformance:\n Mass: 110.03 kg\n Factor of Safety: 0.85\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": 110.02623046371454, "fos_buckling": 0.8493375471303922, "fos_yielding": 2.050010533102141, "deflection": 0.0029221706945749045, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.120)" }, "parent_node_id": "node_3175", "improvement_over_parent": null }, "node_3177": { "node_id": "node_3177", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0031)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n\nPerformance:\n Mass: 125.44 kg\n Factor of Safety: 0.96\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": 125.44358234468591, "fos_buckling": 0.9563886662160541, "fos_yielding": 2.3366223690514105, "deflection": 0.0025655326925986726, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.147)" }, "parent_node_id": "node_3176", "improvement_over_parent": null }, "node_3178": { "node_id": "node_3178", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n\nPerformance:\n Mass: 144.30 kg\n Factor of Safety: 1.08\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": 144.30133995018633, "fos_buckling": 1.0833664217013363, "fos_yielding": 2.6869772296302523, "deflection": 0.0022329238806987725, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.159)" }, "parent_node_id": "node_3177", "improvement_over_parent": null }, "node_3179": { "node_id": "node_3179", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 182.13 kg\n Factor of Safety: 1.32\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.12775597306648, "fos_buckling": 1.324983936424842, "fos_yielding": 3.3890355557294276, "deflection": 0.001773396700519134, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.282)" }, "parent_node_id": "node_3178", "improvement_over_parent": null }, "node_3180": { "node_id": "node_3180", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.26208398892044, "fos_buckling": 1.5680292252658383, "fos_yielding": 4.151412360882336, "deflection": 0.0014504165749279062, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.248)" }, "parent_node_id": "node_3179", "improvement_over_parent": null }, "node_3181": { "node_id": "node_3181", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3180", "improvement_over_parent": null }, "node_3182": { "node_id": "node_3182", "content": "INITIAL DESIGN (Trace 462)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n\nPerformance:\n Mass: 159.99 kg\n Factor of Safety: 0.72\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": 159.99344606791198, "fos_buckling": 0.718547978833259, "fos_yielding": 3.254907558474586, "deflection": 0.0021269296355817787, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3183": { "node_id": "node_3183", "content": "MODIFICATION: Increase 10 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 172.27 kg\n Factor of Safety: 1.27\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.27107617020494, "fos_buckling": 1.2730505745975806, "fos_yielding": 3.2472323492628963, "deflection": 0.001857142481103605, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.626)" }, "parent_node_id": "node_3182", "improvement_over_parent": null }, "node_3184": { "node_id": "node_3184", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 199.41 kg\n Factor of Safety: 1.44\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.4077501688539, "fos_buckling": 1.4396428131074688, "fos_yielding": 3.7564889799754564, "deflection": 0.0016073344209520531, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.171)" }, "parent_node_id": "node_3183", "improvement_over_parent": null }, "node_3185": { "node_id": "node_3185", "content": "MODIFICATION: Increase 8 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 200.98 kg\n Factor of Safety: 1.44\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.97581699787273, "fos_buckling": 1.4384982190639843, "fos_yielding": 3.752192155168869, "deflection": 0.0016051681326270666, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.274)" }, "parent_node_id": "node_3184", "improvement_over_parent": null }, "node_3186": { "node_id": "node_3186", "content": "MODIFICATION: Increase 3 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 201.72 kg\n Factor of Safety: 1.44\n Max Deflection: 1.60e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.72076196819108, "fos_buckling": 1.442887952688683, "fos_yielding": 3.7526897337186806, "deflection": 0.0016031813202499888, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.206)" }, "parent_node_id": "node_3185", "improvement_over_parent": null }, "node_3187": { "node_id": "node_3187", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.20 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.19744655543644, "fos_buckling": 1.5672314642069982, "fos_yielding": 4.1506317897393705, "deflection": 0.0014508790310469707, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.117)" }, "parent_node_id": "node_3186", "improvement_over_parent": null }, "node_3188": { "node_id": "node_3188", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3187", "improvement_over_parent": null }, "node_3189": { "node_id": "node_3189", "content": "INITIAL DESIGN (Trace 463)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0023)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 139.87 kg\n Factor of Safety: 0.52\n Max Deflection: 2.52e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.86994569852075, "fos_buckling": 0.5210213432327759, "fos_yielding": 2.8889985093898525, "deflection": 0.002517224123924746, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3190": { "node_id": "node_3190", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0029)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 174.22 kg\n Factor of Safety: 0.63\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.2169073189187, "fos_buckling": 0.6306164692873402, "fos_yielding": 3.5916376797886125, "deflection": 0.0020217611231349727, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.264)" }, "parent_node_id": "node_3189", "improvement_over_parent": null }, "node_3191": { "node_id": "node_3191", "content": "MODIFICATION: Increase 7 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 178.35 kg\n Factor of Safety: 0.82\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.35430142597824, "fos_buckling": 0.8162637879758843, "fos_yielding": 3.6122716511687023, "deflection": 0.001914504859557532, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.190)" }, "parent_node_id": "node_3190", "improvement_over_parent": null }, "node_3192": { "node_id": "node_3192", "content": "MODIFICATION: Increase 3 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 179.53 kg\n Factor of Safety: 0.83\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.52583671651144, "fos_buckling": 0.8254866417877058, "fos_yielding": 3.6130594173107746, "deflection": 0.0019106666797461646, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.376)" }, "parent_node_id": "node_3191", "improvement_over_parent": null }, "node_3193": { "node_id": "node_3193", "content": "MODIFICATION: Increase 9 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 181.39 kg\n Factor of Safety: 0.84\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.39300931634563, "fos_buckling": 0.8357286605876252, "fos_yielding": 3.6139142482442725, "deflection": 0.0019061823631086495, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.221)" }, "parent_node_id": "node_3192", "improvement_over_parent": null }, "node_3194": { "node_id": "node_3194", "content": "MODIFICATION: Increase 1 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 184.85 kg\n Factor of Safety: 0.80\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.85460046024832, "fos_buckling": 0.8010727302719811, "fos_yielding": 3.6109353550366508, "deflection": 0.0018328331567501628, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.314)" }, "parent_node_id": "node_3193", "improvement_over_parent": null }, "node_3195": { "node_id": "node_3195", "content": "MODIFICATION: Increase 7 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 196.00 kg\n Factor of Safety: 1.41\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.00206780133271, "fos_buckling": 1.4095102259993415, "fos_yielding": 3.6469246173710683, "deflection": 0.0016495007843220512, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.445)" }, "parent_node_id": "node_3194", "improvement_over_parent": null }, "node_3196": { "node_id": "node_3196", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.12 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.1200616159137, "fos_buckling": 1.567505356844035, "fos_yielding": 4.1494769731532095, "deflection": 0.0014514951017832892, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.152)" }, "parent_node_id": "node_3195", "improvement_over_parent": null }, "node_3197": { "node_id": "node_3197", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3196", "improvement_over_parent": null }, "node_3198": { "node_id": "node_3198", "content": "INITIAL DESIGN (Trace 464)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0008)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n\nPerformance:\n Mass: 92.98 kg\n Factor of Safety: 0.07\n Max Deflection: 4.74e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 92.98279742356037, "fos_buckling": 0.07477965491284826, "fos_yielding": 0.2703169871072125, "deflection": 47372286733436.164, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3199": { "node_id": "node_3199", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 109.60 kg\n Factor of Safety: 0.08\n Max Deflection: 2.95e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.59820091760399, "fos_buckling": 0.08166826846220464, "fos_yielding": 1.08126794842885, "deflection": 29531326221237.44, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.189)" }, "parent_node_id": "node_3198", "improvement_over_parent": null }, "node_3200": { "node_id": "node_3200", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n\nPerformance:\n Mass: 111.91 kg\n Factor of Safety: 0.04\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 111.91195634937827, "fos_buckling": 0.04199541583581453, "fos_yielding": 0.9659470070469258, "deflection": 0.015775249563834862, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001240)" }, "parent_node_id": "node_3199", "improvement_over_parent": null }, "node_3201": { "node_id": "node_3201", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n\nPerformance:\n Mass: 140.30 kg\n Factor of Safety: 1.03\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": 140.30113278427456, "fos_buckling": 1.0300846660088772, "fos_yielding": 2.7397911374878254, "deflection": 0.0023268297962619907, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003635)" }, "parent_node_id": "node_3200", "improvement_over_parent": null }, "node_3202": { "node_id": "node_3202", "content": "MODIFICATION: Increase 3 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0057)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n\nPerformance:\n Mass: 150.48 kg\n Factor of Safety: 1.01\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": 150.47617553414918, "fos_buckling": 1.0113967889826208, "fos_yielding": 3.223017258370904, "deflection": 0.002327298899988277, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.486)" }, "parent_node_id": "node_3201", "improvement_over_parent": null }, "node_3203": { "node_id": "node_3203", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0071)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n\nPerformance:\n Mass: 183.29 kg\n Factor of Safety: 1.20\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.28837061494866, "fos_buckling": 1.2024984685887234, "fos_yielding": 3.927363850781274, "deflection": 0.0019105851638497472, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.236)" }, "parent_node_id": "node_3202", "improvement_over_parent": null }, "node_3204": { "node_id": "node_3204", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0091)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 230.19 kg\n Factor of Safety: 1.46\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 230.18543656065248, "fos_buckling": 1.457336276463176, "fos_yielding": 4.935713195819071, "deflection": 0.001520998852498181, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.284)" }, "parent_node_id": "node_3203", "improvement_over_parent": null }, "node_3205": { "node_id": "node_3205", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0091)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 236.34 kg\n Factor of Safety: 0.95\n Max Deflection: 1.44e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 236.3392512989503, "fos_buckling": 0.9453651960657347, "fos_yielding": 4.817298876213202, "deflection": 0.0014373590459364491, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_3204", "improvement_over_parent": null }, "node_3206": { "node_id": "node_3206", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3205", "improvement_over_parent": null }, "node_3207": { "node_id": "node_3207", "content": "INITIAL DESIGN (Trace 465)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n\nPerformance:\n Mass: 117.01 kg\n Factor of Safety: 0.04\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.01157894750608, "fos_buckling": 0.0387255602101166, "fos_yielding": 1.0614745146313715, "deflection": 0.014468572787020571, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3208": { "node_id": "node_3208", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n\nPerformance:\n Mass: 121.46 kg\n Factor of Safety: 0.10\n Max Deflection: 7.16e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.46168838676867, "fos_buckling": 0.09747055789578135, "fos_yielding": 1.5595075527283568, "deflection": 0.007161239966086592, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001807)" }, "parent_node_id": "node_3207", "improvement_over_parent": null }, "node_3209": { "node_id": "node_3209", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 145.70 kg\n Factor of Safety: 0.11\n Max Deflection: 5.98e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.70352255382716, "fos_buckling": 0.11374635965562384, "fos_yielding": 1.8659803026949782, "deflection": 0.0059761536989799205, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.215)" }, "parent_node_id": "node_3208", "improvement_over_parent": null }, "node_3210": { "node_id": "node_3210", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 168.11 kg\n Factor of Safety: 0.13\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.10538967654392, "fos_buckling": 0.12786375408489611, "fos_yielding": 2.1477228267874664, "deflection": 0.0051848480413766, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.168)" }, "parent_node_id": "node_3209", "improvement_over_parent": null }, "node_3211": { "node_id": "node_3211", "content": "MODIFICATION: Increase 8 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 170.60 kg\n Factor of Safety: 0.13\n Max Deflection: 4.91e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.6026830321205, "fos_buckling": 0.12782993858380298, "fos_yielding": 2.1471548290455207, "deflection": 0.004910993724054598, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.224)" }, "parent_node_id": "node_3210", "improvement_over_parent": null }, "node_3212": { "node_id": "node_3212", "content": "MODIFICATION: Increase 6 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0093)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 193.58 kg\n Factor of Safety: 0.13\n Max Deflection: 4.73e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.58154812377035, "fos_buckling": 0.12751962241266898, "fos_yielding": 2.141942459605599, "deflection": 0.0047309313559593434, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.618)" }, "parent_node_id": "node_3211", "improvement_over_parent": null }, "node_3213": { "node_id": "node_3213", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0093)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 236.23 kg\n Factor of Safety: 1.10\n Max Deflection: 1.38e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 236.23351647514374, "fos_buckling": 1.1004399352757548, "fos_yielding": 3.1282861611648225, "deflection": 0.0013767440626408025, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_3212", "improvement_over_parent": null }, "node_3214": { "node_id": "node_3214", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3213", "improvement_over_parent": null }, "node_3215": { "node_id": "node_3215", "content": "INITIAL DESIGN (Trace 466)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0019)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0016)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0025)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0024)]\n\nPerformance:\n Mass: 89.93 kg\n Factor of Safety: 0.50\n Max Deflection: 3.73e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 89.93120167942041, "fos_buckling": 0.49598249699558683, "fos_yielding": 1.1535576328334, "deflection": 0.0037335363886817304, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3216": { "node_id": "node_3216", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0018)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n\nPerformance:\n Mass: 104.94 kg\n Factor of Safety: 0.58\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": 104.94248819554687, "fos_buckling": 0.575567657525161, "fos_yielding": 1.34866613821758, "deflection": 0.0031934140530265427, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.174)" }, "parent_node_id": "node_3215", "improvement_over_parent": null }, "node_3217": { "node_id": "node_3217", "content": "MODIFICATION: Increase 0 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0018)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n\nPerformance:\n Mass: 107.19 kg\n Factor of Safety: 0.58\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": 107.18903006057005, "fos_buckling": 0.578194734139562, "fos_yielding": 1.3548218858973236, "deflection": 0.0031789045065304298, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.328)" }, "parent_node_id": "node_3216", "improvement_over_parent": null }, "node_3218": { "node_id": "node_3218", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0024)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n\nPerformance:\n Mass: 140.10 kg\n Factor of Safety: 0.75\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": 140.09893726068404, "fos_buckling": 0.7467852825425376, "fos_yielding": 1.778660149358568, "deflection": 0.0024214009630666214, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.325)" }, "parent_node_id": "node_3217", "improvement_over_parent": null }, "node_3219": { "node_id": "node_3219", "content": "MODIFICATION: Increase 3 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n\nPerformance:\n Mass: 149.31 kg\n Factor of Safety: 0.99\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": 149.30917192360346, "fos_buckling": 0.985671868184252, "fos_yielding": 2.836786821614839, "deflection": 0.0021756141655185027, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.661)" }, "parent_node_id": "node_3218", "improvement_over_parent": null }, "node_3220": { "node_id": "node_3220", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 174.46 kg\n Factor of Safety: 1.12\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.46354538016334, "fos_buckling": 1.1172214710906523, "fos_yielding": 3.3131084335420513, "deflection": 0.001865185773200047, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_3219", "improvement_over_parent": null }, "node_3221": { "node_id": "node_3221", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 218.01 kg\n Factor of Safety: 1.32\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.00597267009337, "fos_buckling": 1.323514149550505, "fos_yielding": 4.136540655528362, "deflection": 0.0014971596472226501, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.274)" }, "parent_node_id": "node_3220", "improvement_over_parent": null }, "node_3222": { "node_id": "node_3222", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n\nPerformance:\n Mass: 223.18 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.18031554682204, "fos_buckling": 1.567505033017153, "fos_yielding": 4.150279488235014, "deflection": 0.0014509415680973668, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)" }, "parent_node_id": "node_3221", "improvement_over_parent": null }, "node_3223": { "node_id": "node_3223", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3222", "improvement_over_parent": null }, "node_3224": { "node_id": "node_3224", "content": "INITIAL DESIGN (Trace 467)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n\nPerformance:\n Mass: 124.38 kg\n Factor of Safety: 0.05\n Max Deflection: 8.03e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.38230954432736, "fos_buckling": 0.04995276198786416, "fos_yielding": 1.1775861360044206, "deflection": 0.008030092549917702, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3225": { "node_id": "node_3225", "content": "MODIFICATION: Increase 9 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 136.64 kg\n Factor of Safety: 0.05\n Max Deflection: 7.67e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.63865400728596, "fos_buckling": 0.049887699900200616, "fos_yielding": 1.1760523627081474, "deflection": 0.007665885881673433, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.608)" }, "parent_node_id": "node_3224", "improvement_over_parent": null }, "node_3226": { "node_id": "node_3226", "content": "MODIFICATION: Increase 0 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 140.08 kg\n Factor of Safety: 0.05\n Max Deflection: 7.67e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.07914379960405, "fos_buckling": 0.0498694667156522, "fos_yielding": 1.1756225337160158, "deflection": 0.007667675641466886, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.443)" }, "parent_node_id": "node_3225", "improvement_over_parent": null }, "node_3227": { "node_id": "node_3227", "content": "MODIFICATION: Increase 0 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 142.67 kg\n Factor of Safety: 0.05\n Max Deflection: 7.67e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.67354746058788, "fos_buckling": 0.04985572625260156, "fos_yielding": 1.1752986161157308, "deflection": 0.00766902526307332, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.239)" }, "parent_node_id": "node_3226", "improvement_over_parent": null }, "node_3228": { "node_id": "node_3228", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n\nPerformance:\n Mass: 177.30 kg\n Factor of Safety: 1.30\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.3048707498363, "fos_buckling": 1.2952889411641344, "fos_yielding": 3.2993920576352114, "deflection": 0.0018210288918905767, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004493)" }, "parent_node_id": "node_3227", "improvement_over_parent": null }, "node_3229": { "node_id": "node_3229", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n\nPerformance:\n Mass: 199.36 kg\n Factor of Safety: 1.43\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.35627337954952, "fos_buckling": 1.429421631625419, "fos_yielding": 3.7082786406178836, "deflection": 0.0016218540355979574, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.135)" }, "parent_node_id": "node_3228", "improvement_over_parent": null }, "node_3230": { "node_id": "node_3230", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.12 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.12420043370287, "fos_buckling": 1.5674079678133974, "fos_yielding": 4.148633945500306, "deflection": 0.0014512601225020205, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.131)" }, "parent_node_id": "node_3229", "improvement_over_parent": null }, "node_3231": { "node_id": "node_3231", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3230", "improvement_over_parent": null }, "node_3232": { "node_id": "node_3232", "content": "INITIAL DESIGN (Trace 468)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\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_3233": { "node_id": "node_3233", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 204.56 kg\n Factor of Safety: 1.46\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.55741550698562, "fos_buckling": 1.4595233156671674, "fos_yielding": 4.182448828410844, "deflection": 0.0015207943949892345, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_3232", "improvement_over_parent": null }, "node_3234": { "node_id": "node_3234", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 210.71 kg\n Factor of Safety: 1.34\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.71123024528345, "fos_buckling": 1.3391854819108502, "fos_yielding": 4.1382372185500955, "deflection": 0.001495835354402475, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_3233", "improvement_over_parent": null }, "node_3235": { "node_id": "node_3235", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.2595878653797, "fos_buckling": 1.5680110398324938, "fos_yielding": 4.151339310951526, "deflection": 0.0014504370044323108, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_3234", "improvement_over_parent": null }, "node_3236": { "node_id": "node_3236", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3235", "improvement_over_parent": null }, "node_3237": { "node_id": "node_3237", "content": "INITIAL DESIGN (Trace 469)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0012)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0017)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0008)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0009)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0010)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0023)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0012)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0014)]\n\nPerformance:\n Mass: 81.01 kg\n Factor of Safety: 0.46\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": 81.00561155991075, "fos_buckling": 0.46394317647352906, "fos_yielding": 1.7558693369999776, "deflection": 0.0042477038689832615, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3238": { "node_id": "node_3238", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0030)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0019)]\n\nPerformance:\n Mass: 105.69 kg\n Factor of Safety: 0.59\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": 105.69168315921591, "fos_buckling": 0.5921564630750199, "fos_yielding": 2.2884035158001, "deflection": 0.003257014121450589, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.318)" }, "parent_node_id": "node_3237", "improvement_over_parent": null }, "node_3239": { "node_id": "node_3239", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0041)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0024)]\n\nPerformance:\n Mass: 134.38 kg\n Factor of Safety: 0.73\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": 134.38144195053178, "fos_buckling": 0.7336418693947979, "fos_yielding": 2.9056822699303453, "deflection": 0.0025628269162437795, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.287)" }, "parent_node_id": "node_3238", "improvement_over_parent": null }, "node_3240": { "node_id": "node_3240", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n\nPerformance:\n Mass: 156.88 kg\n Factor of Safety: 0.84\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": 156.880111294029, "fos_buckling": 0.839029648144101, "fos_yielding": 3.3884730081140915, "deflection": 0.002195971342677086, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.179)" }, "parent_node_id": "node_3239", "improvement_over_parent": null }, "node_3241": { "node_id": "node_3241", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 163.83 kg\n Factor of Safety: 0.88\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": 163.82915373956672, "fos_buckling": 0.8779685983459083, "fos_yielding": 3.3400326232401407, "deflection": 0.0021573453331325556, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002031)" }, "parent_node_id": "node_3240", "improvement_over_parent": null }, "node_3242": { "node_id": "node_3242", "content": "MODIFICATION: Increase 10 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0032)]\n\nPerformance:\n Mass: 167.33 kg\n Factor of Safety: 0.85\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": 167.3330823607533, "fos_buckling": 0.8450641084716412, "fos_yielding": 3.3313080204290424, "deflection": 0.0021510502537448197, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.567)" }, "parent_node_id": "node_3241", "improvement_over_parent": null }, "node_3243": { "node_id": "node_3243", "content": "MODIFICATION: Increase 0 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0032)]\n\nPerformance:\n Mass: 171.79 kg\n Factor of Safety: 0.87\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": 171.78561186367955, "fos_buckling": 0.8708593674775622, "fos_yielding": 3.3560713176598673, "deflection": 0.002024625313371137, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.477)" }, "parent_node_id": "node_3242", "improvement_over_parent": null }, "node_3244": { "node_id": "node_3244", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0040)]\n\nPerformance:\n Mass: 212.98 kg\n Factor of Safety: 1.04\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.97721934086732, "fos_buckling": 1.0432609927191203, "fos_yielding": 4.156370279712019, "deflection": 0.001633755334644993, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.263)" }, "parent_node_id": "node_3243", "improvement_over_parent": null }, "node_3245": { "node_id": "node_3245", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3244", "improvement_over_parent": null }, "node_3246": { "node_id": "node_3246", "content": "INITIAL DESIGN (Trace 470)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 158.48 kg\n Factor of Safety: 0.13\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": 158.47888435734686, "fos_buckling": 0.1280735181133232, "fos_yielding": 2.1309388221375496, "deflection": 0.005250115470758906, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3247": { "node_id": "node_3247", "content": "MODIFICATION: Increase 6 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 167.52 kg\n Factor of Safety: 0.13\n Max Deflection: 4.99e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.52263965951303, "fos_buckling": 0.1280735181133232, "fos_yielding": 2.13093882213755, "deflection": 0.004991089051897209, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.464)" }, "parent_node_id": "node_3246", "improvement_over_parent": null }, "node_3248": { "node_id": "node_3248", "content": "MODIFICATION: Increase 1 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 170.53 kg\n Factor of Safety: 0.13\n Max Deflection: 4.99e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.5284425681815, "fos_buckling": 0.12803269857653243, "fos_yielding": 2.1316257596863264, "deflection": 0.00499189331634808, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.227)" }, "parent_node_id": "node_3247", "improvement_over_parent": null }, "node_3249": { "node_id": "node_3249", "content": "MODIFICATION: Increase 5 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 171.41 kg\n Factor of Safety: 0.13\n Max Deflection: 4.85e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.40675573447993, "fos_buckling": 0.12800885520672745, "fos_yielding": 2.1503113397521636, "deflection": 0.004848282457097042, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.183)" }, "parent_node_id": "node_3248", "improvement_over_parent": null }, "node_3250": { "node_id": "node_3250", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 214.06 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 214.05872408585333, "fos_buckling": 1.5233312920391182, "fos_yielding": 4.196609345058286, "deflection": 0.0014700604293655733, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_3249", "improvement_over_parent": null }, "node_3251": { "node_id": "node_3251", "content": "MODIFICATION: Increase 2 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 214.63 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 214.6337069601138, "fos_buckling": 1.5232388582146923, "fos_yielding": 4.19645603449442, "deflection": 0.0014701451467851053, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.212)" }, "parent_node_id": "node_3250", "improvement_over_parent": null }, "node_3252": { "node_id": "node_3252", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.25 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.24681157487447, "fos_buckling": 1.5679856890783177, "fos_yielding": 4.1513420535447825, "deflection": 0.0014504283186091722, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_3251", "improvement_over_parent": null }, "node_3253": { "node_id": "node_3253", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3252", "improvement_over_parent": null }, "node_3254": { "node_id": "node_3254", "content": "INITIAL DESIGN (Trace 471)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 209.12 kg\n Factor of Safety: 1.17\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.1203732428383, "fos_buckling": 1.172438183172625, "fos_yielding": 3.362689073975643, "deflection": 0.0015397748583680577, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3255": { "node_id": "node_3255", "content": "MODIFICATION: Increase 6 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 218.52 kg\n Factor of Safety: 1.36\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.5197879464406, "fos_buckling": 1.3641552296221635, "fos_yielding": 4.158785943656205, "deflection": 0.0015095745051616916, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.490)" }, "parent_node_id": "node_3254", "improvement_over_parent": null }, "node_3256": { "node_id": "node_3256", "content": "MODIFICATION: Increase 5 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 219.86 kg\n Factor of Safety: 1.48\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 219.8567596003482, "fos_buckling": 1.4810476754118387, "fos_yielding": 4.154336124597488, "deflection": 0.0015033746838418348, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.305)" }, "parent_node_id": "node_3255", "improvement_over_parent": null }, "node_3257": { "node_id": "node_3257", "content": "MODIFICATION: Increase 1 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25756329312458, "fos_buckling": 1.5680163173346389, "fos_yielding": 4.151357065699088, "deflection": 0.0014504517832936677, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.264)" }, "parent_node_id": "node_3256", "improvement_over_parent": null }, "node_3258": { "node_id": "node_3258", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3257", "improvement_over_parent": null }, "node_3259": { "node_id": "node_3259", "content": "INITIAL DESIGN (Trace 472)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0028)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 151.22 kg\n Factor of Safety: 0.83\n Max Deflection: 2.17e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.2239980357587, "fos_buckling": 0.8279251314682616, "fos_yielding": 1.9886641122601052, "deflection": 0.0021656997640141194, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3260": { "node_id": "node_3260", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 185.91 kg\n Factor of Safety: 1.00\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.90507011033384, "fos_buckling": 1.00408322298792, "fos_yielding": 2.4569862157098554, "deflection": 0.0017528992922659734, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.248)" }, "parent_node_id": "node_3259", "improvement_over_parent": null }, "node_3261": { "node_id": "node_3261", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n\nPerformance:\n Mass: 189.09 kg\n Factor of Safety: 1.01\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.09104491231497, "fos_buckling": 1.0086754945150904, "fos_yielding": 2.468223479297906, "deflection": 0.0017449187380107717, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001747)" }, "parent_node_id": "node_3260", "improvement_over_parent": null }, "node_3262": { "node_id": "node_3262", "content": "MODIFICATION: Increase 4 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0036)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n\nPerformance:\n Mass: 191.86 kg\n Factor of Safety: 1.01\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.86188165696026, "fos_buckling": 1.00786346067632, "fos_yielding": 2.4662364368866085, "deflection": 0.0017463246160056127, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.575)" }, "parent_node_id": "node_3261", "improvement_over_parent": null }, "node_3263": { "node_id": "node_3263", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0040)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 214.07 kg\n Factor of Safety: 1.11\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.06584336099831, "fos_buckling": 1.1149156045116437, "fos_yielding": 2.760701918855374, "deflection": 0.0015600559296929596, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.127)" }, "parent_node_id": "node_3262", "improvement_over_parent": null }, "node_3264": { "node_id": "node_3264", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3263", "improvement_over_parent": null }, "node_3265": { "node_id": "node_3265", "content": "INITIAL DESIGN (Trace 473)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n\nPerformance:\n Mass: 109.03 kg\n Factor of Safety: 0.09\n Max Deflection: 7.57e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.03292031551906, "fos_buckling": 0.08997827752634524, "fos_yielding": 1.4239712833819649, "deflection": 0.007573341958115092, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3266": { "node_id": "node_3266", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n\nPerformance:\n Mass: 134.93 kg\n Factor of Safety: 0.11\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": 134.9291132476834, "fos_buckling": 0.10815883634688522, "fos_yielding": 1.7583703907441381, "deflection": 0.006127718799950396, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.255)" }, "parent_node_id": "node_3265", "improvement_over_parent": null }, "node_3267": { "node_id": "node_3267", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n\nPerformance:\n Mass: 141.95 kg\n Factor of Safety: 0.11\n Max Deflection: 6.13e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.9480531175517, "fos_buckling": 0.10807819558570397, "fos_yielding": 1.7570593898907874, "deflection": 0.006134006201150632, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002053)" }, "parent_node_id": "node_3266", "improvement_over_parent": null }, "node_3268": { "node_id": "node_3268", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 176.71 kg\n Factor of Safety: 0.83\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.70840729585183, "fos_buckling": 0.8313442552563328, "fos_yielding": 3.36061041193577, "deflection": 0.0019371916149350762, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004569)" }, "parent_node_id": "node_3267", "improvement_over_parent": null }, "node_3269": { "node_id": "node_3269", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 217.02 kg\n Factor of Safety: 0.99\n Max Deflection: 1.58e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.01909854877368, "fos_buckling": 0.9853772857546366, "fos_yielding": 4.123229838122544, "deflection": 0.0015794246888739163, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.250)" }, "parent_node_id": "node_3268", "improvement_over_parent": null }, "node_3270": { "node_id": "node_3270", "content": "MODIFICATION: Increase 0 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.50 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.49572668894263, "fos_buckling": 1.5688543701049695, "fos_yielding": 4.156211101409208, "deflection": 0.0014488960298979525, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.618)" }, "parent_node_id": "node_3269", "improvement_over_parent": null }, "node_3271": { "node_id": "node_3271", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3270", "improvement_over_parent": null }, "node_3272": { "node_id": "node_3272", "content": "INITIAL DESIGN (Trace 474)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 168.69 kg\n Factor of Safety: 0.24\n Max Deflection: 7.76e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.69250247865767, "fos_buckling": 0.23599760806095232, "fos_yielding": 3.909538421107618, "deflection": 7758110607268.246, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3273": { "node_id": "node_3273", "content": "MODIFICATION: Increase 5 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 176.10 kg\n Factor of Safety: 0.24\n Max Deflection: 7.76e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.10086808307295, "fos_buckling": 0.23599760806095232, "fos_yielding": 4.29475573275585, "deflection": 7758110607268.246, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.353)" }, "parent_node_id": "node_3272", "improvement_over_parent": null }, "node_3274": { "node_id": "node_3274", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 179.66 kg\n Factor of Safety: 0.06\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.65527541877097, "fos_buckling": 0.06036589775968844, "fos_yielding": 1.4758705801390866, "deflection": 0.006103186882531415, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_3273", "improvement_over_parent": null }, "node_3275": { "node_id": "node_3275", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.27 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.26632966153167, "fos_buckling": 1.568044223232958, "fos_yielding": 4.151354077485346, "deflection": 0.0014504042810722282, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_3274", "improvement_over_parent": null }, "node_3276": { "node_id": "node_3276", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3275", "improvement_over_parent": null }, "node_3277": { "node_id": "node_3277", "content": "INITIAL DESIGN (Trace 475)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n\nPerformance:\n Mass: 83.69 kg\n Factor of Safety: 0.04\n Max Deflection: 1.95e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 83.68823637215392, "fos_buckling": 0.0404458334181773, "fos_yielding": 0.7736751525620736, "deflection": 0.019460173014564847, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3278": { "node_id": "node_3278", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n\nPerformance:\n Mass: 99.62 kg\n Factor of Safety: 0.05\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 99.61569902602803, "fos_buckling": 0.04712961935084, "fos_yielding": 0.920604589118983, "deflection": 0.016347028915870598, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.203)" }, "parent_node_id": "node_3277", "improvement_over_parent": null }, "node_3279": { "node_id": "node_3279", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n\nPerformance:\n Mass: 117.85 kg\n Factor of Safety: 0.05\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.84781284720643, "fos_buckling": 0.05438580580794306, "fos_yielding": 1.0886611601023697, "deflection": 0.01381584285160422, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.198)" }, "parent_node_id": "node_3278", "improvement_over_parent": null }, "node_3280": { "node_id": "node_3280", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 134.50 kg\n Factor of Safety: 0.06\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.49832437461677, "fos_buckling": 0.06064574017880809, "fos_yielding": 1.2420103921038828, "deflection": 0.012103283589810967, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.155)" }, "parent_node_id": "node_3279", "improvement_over_parent": null }, "node_3281": { "node_id": "node_3281", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 177.15 kg\n Factor of Safety: 0.06\n Max Deflection: 7.06e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.15029272599017, "fos_buckling": 0.060371682632505426, "fos_yielding": 1.2542708529564346, "deflection": 0.007062189261629462, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_3280", "improvement_over_parent": null }, "node_3282": { "node_id": "node_3282", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 220.76 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 220.76134696875087, "fos_buckling": 1.5677840836420232, "fos_yielding": 4.156894455097111, "deflection": 0.0014535131192683725, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_3281", "improvement_over_parent": null }, "node_3283": { "node_id": "node_3283", "content": "MODIFICATION: Increase 8 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 225.53 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 225.52723962712162, "fos_buckling": 1.5653936786780913, "fos_yielding": 4.158110926387091, "deflection": 0.0014482359036797302, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.437)" }, "parent_node_id": "node_3282", "improvement_over_parent": null }, "node_3284": { "node_id": "node_3284", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 476)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n\nPerformance:\n Mass: 153.99 kg\n Factor of Safety: 1.03\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.98931067632628, "fos_buckling": 1.0253357573894013, "fos_yielding": 2.8878691577397873, "deflection": 0.00202300055144176, "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 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 182.70 kg\n Factor of Safety: 1.20\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.6987800341366, "fos_buckling": 1.1969745070204643, "fos_yielding": 3.435262455175584, "deflection": 0.0017127445583403637, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.202)" }, "parent_node_id": "node_3285", "improvement_over_parent": null }, "node_3287": { "node_id": "node_3287", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n\nPerformance:\n Mass: 187.37 kg\n Factor of Safety: 1.17\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.36893133916848, "fos_buckling": 1.1735972231884648, "fos_yielding": 3.3681707126355094, "deflection": 0.0016524569505675974, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002124)" }, "parent_node_id": "node_3286", "improvement_over_parent": null }, "node_3288": { "node_id": "node_3288", "content": "MODIFICATION: Increase 6 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0068)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n\nPerformance:\n Mass: 198.79 kg\n Factor of Safety: 1.17\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.7936313400027, "fos_buckling": 1.1735001168313688, "fos_yielding": 3.3678920218023003, "deflection": 0.0015352551666577448, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.325)" }, "parent_node_id": "node_3287", "improvement_over_parent": null }, "node_3289": { "node_id": "node_3289", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0068)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n\nPerformance:\n Mass: 206.57 kg\n Factor of Safety: 1.18\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.5676050650298, "fos_buckling": 1.1750718242093647, "fos_yielding": 3.372402750572616, "deflection": 0.0015253797243182815, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002293)" }, "parent_node_id": "node_3288", "improvement_over_parent": null }, "node_3290": { "node_id": "node_3290", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0076)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 228.80 kg\n Factor of Safety: 1.29\n Max Deflection: 1.38e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 228.79837061057393, "fos_buckling": 1.2875257774671645, "fos_yielding": 3.7445482294579073, "deflection": 0.0013792769822759514, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.119)" }, "parent_node_id": "node_3289", "improvement_over_parent": null }, "node_3291": { "node_id": "node_3291", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3290", "improvement_over_parent": null }, "node_3292": { "node_id": "node_3292", "content": "INITIAL DESIGN (Trace 477)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0043)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n\nPerformance:\n Mass: 164.52 kg\n Factor of Safety: 1.09\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.5205673342762, "fos_buckling": 1.088528705696448, "fos_yielding": 3.096065210098989, "deflection": 0.0019636731171772553, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3293": { "node_id": "node_3293", "content": "MODIFICATION: Increase 1 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0043)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n\nPerformance:\n Mass: 166.44 kg\n Factor of Safety: 1.09\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.43552182234345, "fos_buckling": 1.09294640009127, "fos_yielding": 3.108630308155735, "deflection": 0.0019141266550283323, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.179)" }, "parent_node_id": "node_3292", "improvement_over_parent": null }, "node_3294": { "node_id": "node_3294", "content": "MODIFICATION: Increase 6 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0043)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n\nPerformance:\n Mass: 170.07 kg\n Factor of Safety: 1.25\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.07072459322998, "fos_buckling": 1.2499009998580497, "fos_yielding": 3.1654967318247875, "deflection": 0.0018976793365488912, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.199)" }, "parent_node_id": "node_3293", "improvement_over_parent": null }, "node_3295": { "node_id": "node_3295", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 189.75 kg\n Factor of Safety: 1.37\n Max Deflection: 1.70e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.74768278366963, "fos_buckling": 1.3715949840997126, "fos_yielding": 3.530497536461422, "deflection": 0.0017030020529154079, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.125)" }, "parent_node_id": "node_3294", "improvement_over_parent": null }, "node_3296": { "node_id": "node_3296", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.09 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.09094402820773, "fos_buckling": 1.5671069899674965, "fos_yielding": 4.1484172131358, "deflection": 0.00145151651450175, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.193)" }, "parent_node_id": "node_3295", "improvement_over_parent": null }, "node_3297": { "node_id": "node_3297", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3296", "improvement_over_parent": null }, "node_3298": { "node_id": "node_3298", "content": "INITIAL DESIGN (Trace 478)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0026)]\n\nPerformance:\n Mass: 104.93 kg\n Factor of Safety: 0.04\n Max Deflection: 9.73e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 104.92513459650274, "fos_buckling": 0.04160962421997712, "fos_yielding": 0.9559856652168512, "deflection": 0.00973056314050179, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3299": { "node_id": "node_3299", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n\nPerformance:\n Mass: 128.16 kg\n Factor of Safety: 0.05\n Max Deflection: 7.98e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.15501143069875, "fos_buckling": 0.04946371588329167, "fos_yielding": 1.1644026633751225, "deflection": 0.007982570473050439, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.236)" }, "parent_node_id": "node_3298", "improvement_over_parent": null }, "node_3300": { "node_id": "node_3300", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n\nPerformance:\n Mass: 162.45 kg\n Factor of Safety: 1.00\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": 162.44893533308772, "fos_buckling": 0.9988605524616145, "fos_yielding": 3.0761002903498005, "deflection": 0.0020261673478990964, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004446)" }, "parent_node_id": "node_3299", "improvement_over_parent": null }, "node_3301": { "node_id": "node_3301", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 206.99 kg\n Factor of Safety: 1.24\n Max Deflection: 1.59e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.9901796118951, "fos_buckling": 1.239911624045253, "fos_yielding": 3.9263453634984233, "deflection": 0.0015934913533901041, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_3300", "improvement_over_parent": null }, "node_3302": { "node_id": "node_3302", "content": "MODIFICATION: Increase 10 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0080)]\n\nPerformance:\n Mass: 221.38 kg\n Factor of Safety: 1.24\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.37948409533868, "fos_buckling": 1.2437356746678425, "fos_yielding": 3.919651034492669, "deflection": 0.0014908755051979904, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.377)" }, "parent_node_id": "node_3301", "improvement_over_parent": null }, "node_3303": { "node_id": "node_3303", "content": "MODIFICATION: Increase 6 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0080)]\n\nPerformance:\n Mass: 226.80 kg\n Factor of Safety: 1.15\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 226.80470692065347, "fos_buckling": 1.1516975758804946, "fos_yielding": 4.185146758638562, "deflection": 0.0014726044232203984, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.238)" }, "parent_node_id": "node_3302", "improvement_over_parent": null }, "node_3304": { "node_id": "node_3304", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3303", "improvement_over_parent": null }, "node_3305": { "node_id": "node_3305", "content": "INITIAL DESIGN (Trace 479)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, 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_3306": { "node_id": "node_3306", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n\nPerformance:\n Mass: 166.30 kg\n Factor of Safety: 0.93\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.30008775774397, "fos_buckling": 0.934341266720909, "fos_yielding": 3.286772656191596, "deflection": 0.0018845680638055516, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001846)" }, "parent_node_id": "node_3305", "improvement_over_parent": null }, "node_3307": { "node_id": "node_3307", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nPerformance:\n Mass: 176.25 kg\n Factor of Safety: 1.23\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.24554359166277, "fos_buckling": 1.2326894880378072, "fos_yielding": 3.2964091403356623, "deflection": 0.0018264000507879276, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002405)" }, "parent_node_id": "node_3306", "improvement_over_parent": null }, "node_3308": { "node_id": "node_3308", "content": "MODIFICATION: Increase 2 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nPerformance:\n Mass: 176.98 kg\n Factor of Safety: 1.29\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.9769449564612, "fos_buckling": 1.2931083096503895, "fos_yielding": 3.2935122071883924, "deflection": 0.0018244065434710713, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.376)" }, "parent_node_id": "node_3307", "improvement_over_parent": null }, "node_3309": { "node_id": "node_3309", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 223.24 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.24392846151918, "fos_buckling": 1.567927726631287, "fos_yielding": 4.151100905525156, "deflection": 0.0014505245189099735, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.287)" }, "parent_node_id": "node_3308", "improvement_over_parent": null }, "node_3310": { "node_id": "node_3310", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3309", "improvement_over_parent": null }, "node_3311": { "node_id": "node_3311", "content": "INITIAL DESIGN (Trace 480)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0034)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0033)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0011)]\n\nPerformance:\n Mass: 96.45 kg\n Factor of Safety: 0.15\n Max Deflection: 1.15e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 96.45352011457655, "fos_buckling": 0.1485329642145762, "fos_yielding": 2.2521981244912856, "deflection": 11474858975555.393, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3312": { "node_id": "node_3312", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0012)]\n\nPerformance:\n Mass: 109.48 kg\n Factor of Safety: 0.17\n Max Deflection: 1.44e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.48450531078555, "fos_buckling": 0.1663420957607604, "fos_yielding": 1.08126794842885, "deflection": 14448525266042.812, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.143)" }, "parent_node_id": "node_3311", "improvement_over_parent": null }, "node_3313": { "node_id": "node_3313", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0013)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0039)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0037)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0012)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0017)]\n\nPerformance:\n Mass: 113.57 kg\n Factor of Safety: 0.27\n Max Deflection: 4.82e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.57231735409832, "fos_buckling": 0.26653532899474536, "fos_yielding": 0.38428821746952385, "deflection": 48228286147994.66, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001651)" }, "parent_node_id": "node_3312", "improvement_over_parent": null }, "node_3314": { "node_id": "node_3314", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 145.90 kg\n Factor of Safety: 0.07\n Max Deflection: 2.32e+13 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.90263119873316, "fos_buckling": 0.0741510024175473, "fos_yielding": 1.08126794842885, "deflection": 23223604665228.28, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.307)" }, "parent_node_id": "node_3313", "improvement_over_parent": null }, "node_3315": { "node_id": "node_3315", "content": "MODIFICATION: Increase 8 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0035)]\n\nPerformance:\n Mass: 148.69 kg\n Factor of Safety: 0.41\n Max Deflection: 5.08e+12 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.68584036196089, "fos_buckling": 0.4135244165085154, "fos_yielding": 3.8267143551412923, "deflection": 5081662851926.882, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.603)" }, "parent_node_id": "node_3314", "improvement_over_parent": null }, "node_3316": { "node_id": "node_3316", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0035)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n\nPerformance:\n Mass: 153.10 kg\n Factor of Safety: 0.11\n Max Deflection: 6.42e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.1019697015466, "fos_buckling": 0.11221855125702274, "fos_yielding": 1.4004364111342955, "deflection": 0.006419754564090905, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001999)" }, "parent_node_id": "node_3315", "improvement_over_parent": null }, "node_3317": { "node_id": "node_3317", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0035)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n\nPerformance:\n Mass: 189.52 kg\n Factor of Safety: 1.32\n Max Deflection: 1.70e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.51581524662316, "fos_buckling": 1.3170009496148507, "fos_yielding": 3.53900950858906, "deflection": 0.0016977356179780645, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004804)" }, "parent_node_id": "node_3316", "improvement_over_parent": null }, "node_3318": { "node_id": "node_3318", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0041)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 221.91 kg\n Factor of Safety: 1.49\n Max Deflection: 1.45e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.90655443051918, "fos_buckling": 1.4893072816557347, "fos_yielding": 4.142497931660776, "deflection": 0.0014527836684551868, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.188)" }, "parent_node_id": "node_3317", "improvement_over_parent": null }, "node_3319": { "node_id": "node_3319", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3318", "improvement_over_parent": null }, "node_3320": { "node_id": "node_3320", "content": "INITIAL DESIGN (Trace 481)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0028)]\n\nPerformance:\n Mass: 147.27 kg\n Factor of Safety: 0.91\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": 147.2665814747382, "fos_buckling": 0.9140142852142088, "fos_yielding": 2.8990205575717263, "deflection": 0.0022765762951756858, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3321": { "node_id": "node_3321", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n\nPerformance:\n Mass: 165.80 kg\n Factor of Safety: 1.02\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.8046535202159, "fos_buckling": 1.0187338693485621, "fos_yielding": 3.2661947485101233, "deflection": 0.0020233123883709736, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.135)" }, "parent_node_id": "node_3320", "improvement_over_parent": null }, "node_3322": { "node_id": "node_3322", "content": "MODIFICATION: Increase 9 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 178.37 kg\n Factor of Safety: 1.16\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.37046715569082, "fos_buckling": 1.1573843790866003, "fos_yielding": 3.3177808994193416, "deflection": 0.0018136115268270923, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.548)" }, "parent_node_id": "node_3321", "improvement_over_parent": null }, "node_3323": { "node_id": "node_3323", "content": "MODIFICATION: Increase 8 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 182.31 kg\n Factor of Safety: 1.15\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.30881545887496, "fos_buckling": 1.151240342847947, "fos_yielding": 3.3001682838991364, "deflection": 0.0018015966941445347, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.603)" }, "parent_node_id": "node_3322", "improvement_over_parent": null }, "node_3324": { "node_id": "node_3324", "content": "MODIFICATION: Increase 5 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n\nPerformance:\n Mass: 188.02 kg\n Factor of Safety: 1.13\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.01638343576087, "fos_buckling": 1.1281195322948339, "fos_yielding": 3.6773631170349432, "deflection": 0.0017744134131696264, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.295)" }, "parent_node_id": "node_3323", "improvement_over_parent": null }, "node_3325": { "node_id": "node_3325", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0053)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n\nPerformance:\n Mass: 191.13 kg\n Factor of Safety: 1.20\n Max Deflection: 1.76e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.1334158409338, "fos_buckling": 1.1950976801539557, "fos_yielding": 3.643916515473507, "deflection": 0.0017550404974849714, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001706)" }, "parent_node_id": "node_3324", "improvement_over_parent": null }, "node_3326": { "node_id": "node_3326", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 218.15 kg\n Factor of Safety: 1.33\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.14796320934974, "fos_buckling": 1.3305242290688333, "fos_yielding": 4.1559236875811045, "deflection": 0.001539476541341562, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.155)" }, "parent_node_id": "node_3325", "improvement_over_parent": null }, "node_3327": { "node_id": "node_3327", "content": "MODIFICATION: Increase 1 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.23 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.2253109687778, "fos_buckling": 1.567849774233443, "fos_yielding": 4.150957332751985, "deflection": 0.0014506736421898135, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.447)" }, "parent_node_id": "node_3326", "improvement_over_parent": null }, "node_3328": { "node_id": "node_3328", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3327", "improvement_over_parent": null }, "node_3329": { "node_id": "node_3329", "content": "INITIAL DESIGN (Trace 482)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0045)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0022)]\n\nPerformance:\n Mass: 121.37 kg\n Factor of Safety: 0.05\n Max Deflection: 8.59e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.36709176730608, "fos_buckling": 0.04810025281889613, "fos_yielding": 1.1272455879049215, "deflection": 0.008585064169400218, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3330": { "node_id": "node_3330", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0026)]\n\nPerformance:\n Mass: 144.08 kg\n Factor of Safety: 0.06\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": 144.0772702588536, "fos_buckling": 0.055567358651507706, "fos_yielding": 1.3348563840663326, "deflection": 0.007240742262224313, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.202)" }, "parent_node_id": "node_3329", "improvement_over_parent": null }, "node_3331": { "node_id": "node_3331", "content": "MODIFICATION: Increase 9 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0034)]\n\nPerformance:\n Mass: 150.20 kg\n Factor of Safety: 0.06\n Max Deflection: 7.01e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.20027652477853, "fos_buckling": 0.05553122930808484, "fos_yielding": 1.3339884737338907, "deflection": 0.007014678225946133, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.314)" }, "parent_node_id": "node_3330", "improvement_over_parent": null }, "node_3332": { "node_id": "node_3332", "content": "MODIFICATION: Increase 9 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 161.94 kg\n Factor of Safety: 0.06\n Max Deflection: 6.76e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.93891046539358, "fos_buckling": 0.05546209566435565, "fos_yielding": 1.3323277238273774, "deflection": 0.006763482028552289, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.477)" }, "parent_node_id": "node_3331", "improvement_over_parent": null }, "node_3333": { "node_id": "node_3333", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0052)]\n\nPerformance:\n Mass: 201.25 kg\n Factor of Safety: 1.44\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.25264901444945, "fos_buckling": 1.4403429540625363, "fos_yielding": 3.7437412299310506, "deflection": 0.0016068260876991212, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005153)" }, "parent_node_id": "node_3332", "improvement_over_parent": null }, "node_3334": { "node_id": "node_3334", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.23 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.22899447071023, "fos_buckling": 1.5676476108919362, "fos_yielding": 4.150918949270181, "deflection": 0.0014506440886538862, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.120)" }, "parent_node_id": "node_3333", "improvement_over_parent": null }, "node_3335": { "node_id": "node_3335", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3334", "improvement_over_parent": null }, "node_3336": { "node_id": "node_3336", "content": "INITIAL DESIGN (Trace 483)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n\nPerformance:\n Mass: 153.35 kg\n Factor of Safety: 0.79\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": 153.34678392057103, "fos_buckling": 0.7867926924929127, "fos_yielding": 3.2405928475126813, "deflection": 0.0023279148400196696, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3337": { "node_id": "node_3337", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n\nPerformance:\n Mass: 156.09 kg\n Factor of Safety: 0.70\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": 156.09081820890003, "fos_buckling": 0.6978820083699111, "fos_yielding": 3.173840974079227, "deflection": 0.0022541960998020767, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001487)" }, "parent_node_id": "node_3336", "improvement_over_parent": null }, "node_3338": { "node_id": "node_3338", "content": "MODIFICATION: Increase 7 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0046)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0025)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0043)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n\nPerformance:\n Mass: 157.79 kg\n Factor of Safety: 0.64\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": 157.7924465660379, "fos_buckling": 0.6369083565894292, "fos_yielding": 3.1673113834913047, "deflection": 0.0022474050010252, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.280)" }, "parent_node_id": "node_3337", "improvement_over_parent": null }, "node_3339": { "node_id": "node_3339", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0028)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n\nPerformance:\n Mass: 177.58 kg\n Factor of Safety: 0.71\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.58134360631934, "fos_buckling": 0.7052615484677421, "fos_yielding": 3.561357456899998, "deflection": 0.0019974216283099545, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.135)" }, "parent_node_id": "node_3338", "improvement_over_parent": null }, "node_3340": { "node_id": "node_3340", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 204.76 kg\n Factor of Safety: 0.80\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.75822410962815, "fos_buckling": 0.795218677980395, "fos_yielding": 4.101254877890388, "deflection": 0.001732761066032537, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.167)" }, "parent_node_id": "node_3339", "improvement_over_parent": null }, "node_3341": { "node_id": "node_3341", "content": "MODIFICATION: Increase 0 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 209.58 kg\n Factor of Safety: 1.05\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.58332166972536, "fos_buckling": 1.0505012019622637, "fos_yielding": 4.123551062615836, "deflection": 0.001651725008419627, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.404)" }, "parent_node_id": "node_3340", "improvement_over_parent": null }, "node_3342": { "node_id": "node_3342", "content": "MODIFICATION: Increase 1 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 215.00 kg\n Factor of Safety: 0.98\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.00381208837183, "fos_buckling": 0.976093051034853, "fos_yielding": 4.118234638009434, "deflection": 0.0015511885585713426, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.490)" }, "parent_node_id": "node_3341", "improvement_over_parent": null }, "node_3343": { "node_id": "node_3343", "content": "MODIFICATION: Increase 3 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0090)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 229.36 kg\n Factor of Safety: 0.66\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 229.36011471985734, "fos_buckling": 0.656573957616809, "fos_yielding": 4.829065186438746, "deflection": 0.0015290203603745994, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.473)" }, "parent_node_id": "node_3342", "improvement_over_parent": null }, "node_3344": { "node_id": "node_3344", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3343", "improvement_over_parent": null }, "node_3345": { "node_id": "node_3345", "content": "INITIAL DESIGN (Trace 484)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 189.10 kg\n Factor of Safety: 1.40\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.09587565421452, "fos_buckling": 1.399457912217849, "fos_yielding": 3.780687746064564, "deflection": 0.0016414038939629651, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3346": { "node_id": "node_3346", "content": "MODIFICATION: Increase 8 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n\nPerformance:\n Mass: 190.36 kg\n Factor of Safety: 1.40\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.35641934186407, "fos_buckling": 1.3992713845051727, "fos_yielding": 3.780687746064564, "deflection": 0.0016372638988105198, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.189)" }, "parent_node_id": "node_3345", "improvement_over_parent": null }, "node_3347": { "node_id": "node_3347", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n\nPerformance:\n Mass: 198.11 kg\n Factor of Safety: 1.43\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.11480303450602, "fos_buckling": 1.426648296016483, "fos_yielding": 3.7392480677253355, "deflection": 0.0016140154762363686, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002288)" }, "parent_node_id": "node_3346", "improvement_over_parent": null }, "node_3348": { "node_id": "node_3348", "content": "MODIFICATION: Increase 9 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0055)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0051)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0071)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n\nPerformance:\n Mass: 211.33 kg\n Factor of Safety: 1.41\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.32575996983135, "fos_buckling": 1.4083606721027855, "fos_yielding": 3.7348105099098388, "deflection": 0.0015004054168482237, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.387)" }, "parent_node_id": "node_3347", "improvement_over_parent": null }, "node_3349": { "node_id": "node_3349", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0079)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 234.38 kg\n Factor of Safety: 1.52\n Max Deflection: 1.35e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 234.37866681747442, "fos_buckling": 1.5243324606255078, "fos_yielding": 4.144458202134243, "deflection": 0.0013549212104104567, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.121)" }, "parent_node_id": "node_3348", "improvement_over_parent": null }, "node_3350": { "node_id": "node_3350", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3349", "improvement_over_parent": null }, "node_3351": { "node_id": "node_3351", "content": "INITIAL DESIGN (Trace 485)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3352": { "node_id": "node_3352", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n\nPerformance:\n Mass: 168.17 kg\n Factor of Safety: 1.05\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.17231815574104, "fos_buckling": 1.051209121413762, "fos_yielding": 3.5512795120646032, "deflection": 0.0019613905032364277, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001980)" }, "parent_node_id": "node_3351", "improvement_over_parent": null }, "node_3353": { "node_id": "node_3353", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n\nPerformance:\n Mass: 171.18 kg\n Factor of Safety: 1.05\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.18117318148555, "fos_buckling": 1.0508741184832522, "fos_yielding": 3.5039076266359355, "deflection": 0.001903759066835571, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001642)" }, "parent_node_id": "node_3352", "improvement_over_parent": null }, "node_3354": { "node_id": "node_3354", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0038)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n\nPerformance:\n Mass: 181.80 kg\n Factor of Safety: 1.16\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.80038405017126, "fos_buckling": 1.1552523701782296, "fos_yielding": 3.519080905559887, "deflection": 0.0018176437639584096, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002581)" }, "parent_node_id": "node_3353", "improvement_over_parent": null }, "node_3355": { "node_id": "node_3355", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 214.85 kg\n Factor of Safety: 1.32\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.85496562281838, "fos_buckling": 1.3235364042440867, "fos_yielding": 4.154102685741906, "deflection": 0.001540457523963053, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.199)" }, "parent_node_id": "node_3354", "improvement_over_parent": null }, "node_3356": { "node_id": "node_3356", "content": "MODIFICATION: Increase 10 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0039)]\n\nPerformance:\n Mass: 217.81 kg\n Factor of Safety: 1.23\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.8076600934666, "fos_buckling": 1.227534122931099, "fos_yielding": 4.15538959764121, "deflection": 0.0015350451839522335, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.266)" }, "parent_node_id": "node_3355", "improvement_over_parent": null }, "node_3357": { "node_id": "node_3357", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3356", "improvement_over_parent": null }, "node_3358": { "node_id": "node_3358", "content": "INITIAL DESIGN (Trace 486)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n\nPerformance:\n Mass: 125.71 kg\n Factor of Safety: 0.95\n Max Deflection: 2.52e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.71241118862471, "fos_buckling": 0.9544656478459617, "fos_yielding": 2.551991041562077, "deflection": 0.0025208085843839755, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3359": { "node_id": "node_3359", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0036)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0015)]\n\nPerformance:\n Mass: 130.95 kg\n Factor of Safety: 0.89\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": 130.9460486724575, "fos_buckling": 0.8939708592489723, "fos_yielding": 2.5179428271588495, "deflection": 0.0024485074749748923, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001502)" }, "parent_node_id": "node_3358", "improvement_over_parent": null }, "node_3360": { "node_id": "node_3360", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 171.00 kg\n Factor of Safety: 1.11\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.00061576609338, "fos_buckling": 1.112101802522359, "fos_yielding": 3.28504886157779, "deflection": 0.0018805194114930738, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.328)" }, "parent_node_id": "node_3359", "improvement_over_parent": null }, "node_3361": { "node_id": "node_3361", "content": "MODIFICATION: Increase 8 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0056)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n\nPerformance:\n Mass: 179.30 kg\n Factor of Safety: 1.11\n Max Deflection: 1.76e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.30130332674295, "fos_buckling": 1.10916068625545, "fos_yielding": 3.284933698927289, "deflection": 0.0017610964279099633, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.269)" }, "parent_node_id": "node_3360", "improvement_over_parent": null }, "node_3362": { "node_id": "node_3362", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0056)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n\nPerformance:\n Mass: 182.59 kg\n Factor of Safety: 1.30\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.5880011972757, "fos_buckling": 1.2981351346156194, "fos_yielding": 3.2914708554068484, "deflection": 0.0017313813564834375, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001458)" }, "parent_node_id": "node_3361", "improvement_over_parent": null }, "node_3363": { "node_id": "node_3363", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0072)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n\nPerformance:\n Mass: 230.07 kg\n Factor of Safety: 1.56\n Max Deflection: 1.38e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 230.0663268109863, "fos_buckling": 1.5598365162514922, "fos_yielding": 4.148544250172101, "deflection": 0.0013787335403271568, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.287)" }, "parent_node_id": "node_3362", "improvement_over_parent": null }, "node_3364": { "node_id": "node_3364", "content": "MODIFICATION: Increase 3 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0078)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0072)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n\nPerformance:\n Mass: 238.32 kg\n Factor of Safety: 1.06\n Max Deflection: 1.37e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 238.31790253524318, "fos_buckling": 1.0603695705744995, "fos_yielding": 4.858721986888432, "deflection": 0.0013671588156223343, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.266)" }, "parent_node_id": "node_3363", "improvement_over_parent": null }, "node_3365": { "node_id": "node_3365", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 487)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0014)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0027)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0020)]\n\nPerformance:\n Mass: 97.63 kg\n Factor of Safety: 0.50\n Max Deflection: 3.38e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 97.63197049070425, "fos_buckling": 0.5043255017130402, "fos_yielding": 1.4365190245363553, "deflection": 0.0033762023249024444, "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 1 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0027)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0020)]\n\nPerformance:\n Mass: 100.52 kg\n Factor of Safety: 0.61\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": 100.51666937656152, "fos_buckling": 0.6104354033019221, "fos_yielding": 1.4346707421033555, "deflection": 0.0031801137152856285, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.513)" }, "parent_node_id": "node_3366", "improvement_over_parent": null }, "node_3368": { "node_id": "node_3368", "content": "MODIFICATION: Increase 4 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0027)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0020)]\n\nPerformance:\n Mass: 106.09 kg\n Factor of Safety: 0.68\n Max Deflection: 3.13e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 106.08877640287407, "fos_buckling": 0.676244631258651, "fos_yielding": 2.07795951990776, "deflection": 0.003129331791631411, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.488)" }, "parent_node_id": "node_3367", "improvement_over_parent": null }, "node_3369": { "node_id": "node_3369", "content": "MODIFICATION: Increase 10 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0027)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0012)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0027)]\n\nPerformance:\n Mass: 111.37 kg\n Factor of Safety: 0.86\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": 111.36843433440723, "fos_buckling": 0.8590314288246581, "fos_yielding": 2.0747028713967133, "deflection": 0.0028872258695492735, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.344)" }, "parent_node_id": "node_3368", "improvement_over_parent": null }, "node_3370": { "node_id": "node_3370", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 144.65 kg\n Factor of Safety: 1.09\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": 144.64723478469332, "fos_buckling": 1.085967157470084, "fos_yielding": 2.693061489751534, "deflection": 0.002227654051990422, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.316)" }, "parent_node_id": "node_3369", "improvement_over_parent": null }, "node_3371": { "node_id": "node_3371", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n\nPerformance:\n Mass: 181.76 kg\n Factor of Safety: 1.32\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.76324035365167, "fos_buckling": 1.3230993190180318, "fos_yielding": 3.3818555585846237, "deflection": 0.0017769289581602249, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.276)" }, "parent_node_id": "node_3370", "improvement_over_parent": null }, "node_3372": { "node_id": "node_3372", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.47 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.47372796259907, "fos_buckling": 1.5696274176039544, "fos_yielding": 4.154828431851116, "deflection": 0.0014490757260430841, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.252)" }, "parent_node_id": "node_3371", "improvement_over_parent": null }, "node_3373": { "node_id": "node_3373", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3372", "improvement_over_parent": null }, "node_3374": { "node_id": "node_3374", "content": "INITIAL DESIGN (Trace 488)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n\nPerformance:\n Mass: 97.01 kg\n Factor of Safety: 0.05\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": 97.00699075104535, "fos_buckling": 0.04531412075992427, "fos_yielding": 0.8801876456421693, "deflection": 0.015715932747001546, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3375": { "node_id": "node_3375", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 127.20 kg\n Factor of Safety: 0.05\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": 127.20478886619102, "fos_buckling": 0.045168636422524396, "fos_yielding": 1.0491098927307965, "deflection": 0.008593653629868976, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.003930)" }, "parent_node_id": "node_3374", "improvement_over_parent": null }, "node_3376": { "node_id": "node_3376", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n\nPerformance:\n Mass: 158.08 kg\n Factor of Safety: 1.17\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": 158.08120724396653, "fos_buckling": 1.173389817292238, "fos_yielding": 2.9429050643593366, "deflection": 0.0020400797299209663, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003974)" }, "parent_node_id": "node_3375", "improvement_over_parent": null }, "node_3377": { "node_id": "node_3377", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n\nPerformance:\n Mass: 175.61 kg\n Factor of Safety: 1.28\n Max Deflection: 1.84e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.61146325741103, "fos_buckling": 1.2845883412841919, "fos_yielding": 3.2682308568936946, "deflection": 0.0018384647392916, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.119)" }, "parent_node_id": "node_3376", "improvement_over_parent": null }, "node_3378": { "node_id": "node_3378", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.13 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.1264769186906, "fos_buckling": 1.567250087309112, "fos_yielding": 4.1489878340590804, "deflection": 0.0014513010892775297, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.297)" }, "parent_node_id": "node_3377", "improvement_over_parent": null }, "node_3379": { "node_id": "node_3379", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3378", "improvement_over_parent": null }, "node_3380": { "node_id": "node_3380", "content": "INITIAL DESIGN (Trace 489)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0011)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 156.25 kg\n Factor of Safety: 1.13\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.25467349472763, "fos_buckling": 1.132308277450421, "fos_yielding": 3.0513360221347634, "deflection": 0.002089883350945477, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3381": { "node_id": "node_3381", "content": "MODIFICATION: Increase 3 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0043)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0040)]\n\nPerformance:\n Mass: 157.50 kg\n Factor of Safety: 1.13\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.50022883506873, "fos_buckling": 1.1331775201990535, "fos_yielding": 3.05214914017379, "deflection": 0.002090139969548392, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.529)" }, "parent_node_id": "node_3380", "improvement_over_parent": null }, "node_3382": { "node_id": "node_3382", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0049)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n\nPerformance:\n Mass: 175.95 kg\n Factor of Safety: 1.25\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.94713850873018, "fos_buckling": 1.2464233499874118, "fos_yielding": 3.408305813196848, "deflection": 0.0018726094084004568, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.126)" }, "parent_node_id": "node_3381", "improvement_over_parent": null }, "node_3383": { "node_id": "node_3383", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 217.29 kg\n Factor of Safety: 1.49\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.28629929626624, "fos_buckling": 1.4855139732542, "fos_yielding": 4.205445032627118, "deflection": 0.001519257727238505, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.258)" }, "parent_node_id": "node_3382", "improvement_over_parent": null }, "node_3384": { "node_id": "node_3384", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.44 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.44011403456406, "fos_buckling": 1.5690429024059118, "fos_yielding": 4.154792969974668, "deflection": 0.001449264849624176, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_3383", "improvement_over_parent": null }, "node_3385": { "node_id": "node_3385", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3384", "improvement_over_parent": null }, "node_3386": { "node_id": "node_3386", "content": "INITIAL DESIGN (Trace 490)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 169.21 kg\n Factor of Safety: 0.13\n Max Deflection: 4.85e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.206345901665, "fos_buckling": 0.12803885383201255, "fos_yielding": 2.1508152610162306, "deflection": 0.004847103138867039, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3387": { "node_id": "node_3387", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 177.82 kg\n Factor of Safety: 0.13\n Max Deflection: 4.84e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.81945051642566, "fos_buckling": 0.12792201851626922, "fos_yielding": 2.1488526444150535, "deflection": 0.004835875555774554, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)" }, "parent_node_id": "node_3386", "improvement_over_parent": null }, "node_3388": { "node_id": "node_3388", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 220.47 kg\n Factor of Safety: 1.54\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 220.47141886779906, "fos_buckling": 1.53528549878452, "fos_yielding": 4.153694111450912, "deflection": 0.0014921627014751423, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_3387", "improvement_over_parent": null }, "node_3389": { "node_id": "node_3389", "content": "MODIFICATION: Increase 1 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.27 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.26573555113865, "fos_buckling": 1.5680555680486465, "fos_yielding": 4.151336847497303, "deflection": 0.0014503622236540846, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.208)" }, "parent_node_id": "node_3388", "improvement_over_parent": null }, "node_3390": { "node_id": "node_3390", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3389", "improvement_over_parent": null }, "node_3391": { "node_id": "node_3391", "content": "INITIAL DESIGN (Trace 491)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0008)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0032)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0014)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0031)]\n\nPerformance:\n Mass: 119.15 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": 119.15007045374934, "fos_buckling": 0.8521259028293036, "fos_yielding": 2.364286500752931, "deflection": 0.0026060347088414405, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3392": { "node_id": "node_3392", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n\nPerformance:\n Mass: 134.93 kg\n Factor of Safety: 0.95\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": 134.92685455350681, "fos_buckling": 0.9469352039126476, "fos_yielding": 2.6764265742847013, "deflection": 0.002303922523970251, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.140)" }, "parent_node_id": "node_3391", "improvement_over_parent": null }, "node_3393": { "node_id": "node_3393", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0010)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n\nPerformance:\n Mass: 141.86 kg\n Factor of Safety: 1.00\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": 141.8581000002824, "fos_buckling": 1.0042067523199816, "fos_yielding": 2.6835557233531997, "deflection": 0.0022452463949792145, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.001640)" }, "parent_node_id": "node_3392", "improvement_over_parent": null }, "node_3394": { "node_id": "node_3394", "content": "MODIFICATION: Increase 3 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0036)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n\nPerformance:\n Mass: 143.02 kg\n Factor of Safety: 1.08\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": 143.01574445299568, "fos_buckling": 1.0777214473166543, "fos_yielding": 2.684369143992701, "deflection": 0.002238822928611873, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.560)" }, "parent_node_id": "node_3393", "improvement_over_parent": null }, "node_3395": { "node_id": "node_3395", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0044)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n\nPerformance:\n Mass: 162.33 kg\n Factor of Safety: 1.20\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": 162.32651901532319, "fos_buckling": 1.203680943084028, "fos_yielding": 3.045588505983683, "deflection": 0.001975000990606734, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_3394", "improvement_over_parent": null }, "node_3396": { "node_id": "node_3396", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n\nPerformance:\n Mass: 187.30 kg\n Factor of Safety: 1.36\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.29910110109785, "fos_buckling": 1.3597561005501584, "fos_yielding": 3.512269359059773, "deflection": 0.001714495857638718, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.166)" }, "parent_node_id": "node_3395", "improvement_over_parent": null }, "node_3397": { "node_id": "node_3397", "content": "MODIFICATION: Increase 9 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0051)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0048)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0056)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n\nPerformance:\n Mass: 193.16 kg\n Factor of Safety: 1.37\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.15514117261657, "fos_buckling": 1.3716609569888538, "fos_yielding": 3.5098977111961274, "deflection": 0.001650044382682609, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.178)" }, "parent_node_id": "node_3396", "improvement_over_parent": null }, "node_3398": { "node_id": "node_3398", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0067)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n\nPerformance:\n Mass: 228.55 kg\n Factor of Safety: 1.58\n Max Deflection: 1.40e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 228.55323445877303, "fos_buckling": 1.578625115766309, "fos_yielding": 4.1527952994040955, "deflection": 0.0013979229535571673, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.202)" }, "parent_node_id": "node_3397", "improvement_over_parent": null }, "node_3399": { "node_id": "node_3399", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3398", "improvement_over_parent": null }, "node_3400": { "node_id": "node_3400", "content": "INITIAL DESIGN (Trace 492)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n\nPerformance:\n Mass: 112.91 kg\n Factor of Safety: 0.05\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.91300873972472, "fos_buckling": 0.051645440070653095, "fos_yielding": 1.024320356325785, "deflection": 0.013511121536831292, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3401": { "node_id": "node_3401", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 137.07 kg\n Factor of Safety: 0.06\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.07482295366916, "fos_buckling": 0.06067557934539519, "fos_yielding": 1.24316105495409, "deflection": 0.01114092249268219, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.235)" }, "parent_node_id": "node_3400", "improvement_over_parent": null }, "node_3402": { "node_id": "node_3402", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 179.73 kg\n Factor of Safety: 0.06\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.72679130504255, "fos_buckling": 0.06040146018741491, "fos_yielding": 1.4769119926906376, "deflection": 0.006099924052490549, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_3401", "improvement_over_parent": null }, "node_3403": { "node_id": "node_3403", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.34 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.33784554780325, "fos_buckling": 1.5681625165671922, "fos_yielding": 4.153561673469322, "deflection": 0.0014500470921921702, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_3402", "improvement_over_parent": null }, "node_3404": { "node_id": "node_3404", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3403", "improvement_over_parent": null }, "node_3405": { "node_id": "node_3405", "content": "INITIAL DESIGN (Trace 493)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (6 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\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_3406": { "node_id": "node_3406", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0011)]\n\nPerformance:\n Mass: 145.75 kg\n Factor of Safety: 1.59\n Max Deflection: 9.07e+12 m\n Status: FEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 145.75006986379924, "fos_buckling": 1.592344782518598, "fos_yielding": 4.187981125184374, "deflection": 9068478758309.588, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001107)" }, "parent_node_id": "node_3405", "improvement_over_parent": null }, "node_3407": { "node_id": "node_3407", "content": "MODIFICATION: Increase 6 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n\nPerformance:\n Mass: 148.09 kg\n Factor of Safety: 1.59\n Max Deflection: 9.07e+12 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 148.08822634587264, "fos_buckling": 1.5918727710083311, "fos_yielding": 4.186739701016964, "deflection": 9068478758309.588, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.637)" }, "parent_node_id": "node_3406", "improvement_over_parent": null }, "node_3408": { "node_id": "node_3408", "content": "MODIFICATION: Increase 1 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n\nPerformance:\n Mass: 152.57 kg\n Factor of Safety: 1.59\n Max Deflection: 9.07e+12 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 152.56536673561448, "fos_buckling": 1.591421125450702, "fos_yielding": 4.185551840767482, "deflection": 9068478758309.588, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.376)" }, "parent_node_id": "node_3407", "improvement_over_parent": null }, "node_3409": { "node_id": "node_3409", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 158.72 kg\n Factor of Safety: 0.12\n Max Deflection: 5.81e+12 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.7191814739123, "fos_buckling": 0.11978538857001218, "fos_yielding": 3.355220812058797, "deflection": 5806307389297.174, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)" }, "parent_node_id": "node_3408", "improvement_over_parent": null }, "node_3410": { "node_id": "node_3410", "content": "MODIFICATION: Increase 0 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 162.13 kg\n Factor of Safety: 0.15\n Max Deflection: 1.05e+13 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.13093012824373, "fos_buckling": 0.14724553641124985, "fos_yielding": 1.2582078045220488, "deflection": 10535683435541.06, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.258)" }, "parent_node_id": "node_3409", "improvement_over_parent": null }, "node_3411": { "node_id": "node_3411", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 174.68 kg\n Factor of Safety: 0.13\n Max Deflection: 4.85e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.67928774834, "fos_buckling": 0.12796457990345875, "fos_yielding": 2.1495675967780086, "deflection": 0.004848054355739207, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)" }, "parent_node_id": "node_3410", "improvement_over_parent": null }, "node_3412": { "node_id": "node_3412", "content": "MODIFICATION: Increase 7 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0036)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 176.91 kg\n Factor of Safety: 0.13\n Max Deflection: 4.62e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.90971119184283, "fos_buckling": 0.12790411283208314, "fos_yielding": 2.148551862131756, "deflection": 0.0046197281024921814, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.416)" }, "parent_node_id": "node_3411", "improvement_over_parent": null }, "node_3413": { "node_id": "node_3413", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0036)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 180.46 kg\n Factor of Safety: 0.13\n Max Deflection: 4.63e-03 m\n Status: INFEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.46411852754085, "fos_buckling": 0.1278559734997581, "fos_yielding": 2.1477432106363623, "deflection": 0.004628266506585472, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_3412", "improvement_over_parent": null }, "node_3414": { "node_id": "node_3414", "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0036)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.12 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 9, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.11608687891425, "fos_buckling": 1.5721426753038865, "fos_yielding": 4.15449170414218, "deflection": 0.0014482047509986906, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)" }, "parent_node_id": "node_3413", "improvement_over_parent": null }, "node_3415": { "node_id": "node_3415", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 10, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3414", "improvement_over_parent": null }, "node_3416": { "node_id": "node_3416", "content": "INITIAL DESIGN (Trace 494)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 165.85 kg\n Factor of Safety: 0.24\n Max Deflection: 7.76e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.84738832622753, "fos_buckling": 0.23599760806095232, "fos_yielding": 3.4525807656405116, "deflection": 7758110607268.246, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3417": { "node_id": "node_3417", "content": "MODIFICATION: Increase 5 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 176.12 kg\n Factor of Safety: 0.24\n Max Deflection: 7.76e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.11936903132573, "fos_buckling": 0.23599760806095232, "fos_yielding": 4.29475573275585, "deflection": 7758110607268.246, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.558)" }, "parent_node_id": "node_3416", "improvement_over_parent": null }, "node_3418": { "node_id": "node_3418", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 219.73 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 219.73042327408643, "fos_buckling": 1.5224580307827775, "fos_yielding": 4.195107600608034, "deflection": 0.0014705362014732128, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)" }, "parent_node_id": "node_3417", "improvement_over_parent": null }, "node_3419": { "node_id": "node_3419", "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n\nPerformance:\n Mass: 223.28 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.28483060978445, "fos_buckling": 1.568150462473119, "fos_yielding": 4.151366262864446, "deflection": 0.0014503630325070304, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)" }, "parent_node_id": "node_3418", "improvement_over_parent": null }, "node_3420": { "node_id": "node_3420", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 495)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0033)]\n\nPerformance:\n Mass: 178.00 kg\n Factor of Safety: 1.05\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.00004720389134, "fos_buckling": 1.0527713035699109, "fos_yielding": 3.711498872286837, "deflection": 0.0019104428442925205, "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 10 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0041)]\n\nPerformance:\n Mass: 183.71 kg\n Factor of Safety: 1.23\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.71269224967642, "fos_buckling": 1.229490382726446, "fos_yielding": 3.70821039849863, "deflection": 0.0017982011807108622, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.235)" }, "parent_node_id": "node_3421", "improvement_over_parent": null }, "node_3423": { "node_id": "node_3423", "content": "MODIFICATION: Increase 10 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 190.13 kg\n Factor of Safety: 1.42\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.13384065537593, "fos_buckling": 1.4168148799506595, "fos_yielding": 3.705574662981521, "deflection": 0.0017092799792684272, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.220)" }, "parent_node_id": "node_3422", "improvement_over_parent": null }, "node_3424": { "node_id": "node_3424", "content": "MODIFICATION: Increase 1 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 193.48 kg\n Factor of Safety: 1.40\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.48191060501873, "fos_buckling": 1.3986894340120737, "fos_yielding": 3.703365989989267, "deflection": 0.0016369855405231701, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.295)" }, "parent_node_id": "node_3423", "improvement_over_parent": null }, "node_3425": { "node_id": "node_3425", "content": "MODIFICATION: Increase 9 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n\nPerformance:\n Mass: 195.28 kg\n Factor of Safety: 1.41\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.28132517881284, "fos_buckling": 1.410759566243264, "fos_yielding": 3.7047058632694436, "deflection": 0.001631146042503857, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.350)" }, "parent_node_id": "node_3424", "improvement_over_parent": null }, "node_3426": { "node_id": "node_3426", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 218.95 kg\n Factor of Safety: 1.55\n Max Deflection: 1.46e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 218.94970207372606, "fos_buckling": 1.5490884923019554, "fos_yielding": 4.151326596761803, "deflection": 0.0014571771873583947, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.133)" }, "parent_node_id": "node_3425", "improvement_over_parent": null }, "node_3427": { "node_id": "node_3427", "content": "MODIFICATION: Increase 9 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.41 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.4055094179129, "fos_buckling": 1.5693990759263152, "fos_yielding": 4.153515772285263, "deflection": 0.001449453531273561, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.603)" }, "parent_node_id": "node_3426", "improvement_over_parent": null }, "node_3428": { "node_id": "node_3428", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3427", "improvement_over_parent": null }, "node_3429": { "node_id": "node_3429", "content": "INITIAL DESIGN (Trace 496)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 168.00 kg\n Factor of Safety: 1.01\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.00316446829754, "fos_buckling": 1.0128984975475877, "fos_yielding": 3.2544600645329878, "deflection": 0.001998855018803471, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3430": { "node_id": "node_3430", "content": "MODIFICATION: Increase 8 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0047)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0044)]\n\nPerformance:\n Mass: 169.06 kg\n Factor of Safety: 1.02\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.0558753513822, "fos_buckling": 1.0159048863973377, "fos_yielding": 3.252375303879859, "deflection": 0.001997588879271742, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.199)" }, "parent_node_id": "node_3429", "improvement_over_parent": null }, "node_3431": { "node_id": "node_3431", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 216.45 kg\n Factor of Safety: 1.25\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.44545299270777, "fos_buckling": 1.246821129884056, "fos_yielding": 4.158391453877632, "deflection": 0.0015631078749353585, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.307)" }, "parent_node_id": "node_3430", "improvement_over_parent": null }, "node_3432": { "node_id": "node_3432", "content": "MODIFICATION: Increase 1 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 222.39 kg\n Factor of Safety: 1.53\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 222.3873502767953, "fos_buckling": 1.530655893644701, "fos_yielding": 4.152617983518832, "deflection": 0.0014523623757373828, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.562)" }, "parent_node_id": "node_3431", "improvement_over_parent": null }, "node_3433": { "node_id": "node_3433", "content": "MODIFICATION: Increase 2 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.16 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.1584496155408, "fos_buckling": 1.5674875123653806, "fos_yielding": 4.14957975516408, "deflection": 0.0014510896088837444, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.304)" }, "parent_node_id": "node_3432", "improvement_over_parent": null }, "node_3434": { "node_id": "node_3434", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3433", "improvement_over_parent": null }, "node_3435": { "node_id": "node_3435", "content": "INITIAL DESIGN (Trace 497)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\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_3436": { "node_id": "node_3436", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0012)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0037)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0035)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0035)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0015)]\n\nPerformance:\n Mass: 128.12 kg\n Factor of Safety: 0.99\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": 128.12491283414315, "fos_buckling": 0.9914671371930212, "fos_yielding": 2.6628422760207746, "deflection": 0.0024130163845669044, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001455)" }, "parent_node_id": "node_3435", "improvement_over_parent": null }, "node_3437": { "node_id": "node_3437", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0045)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n\nPerformance:\n Mass: 152.33 kg\n Factor of Safety: 1.15\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": 152.33316536760194, "fos_buckling": 1.1528163777083742, "fos_yielding": 3.165036163918331, "deflection": 0.002035669771856737, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.202)" }, "parent_node_id": "node_3436", "improvement_over_parent": null }, "node_3438": { "node_id": "node_3438", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0045)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n\nPerformance:\n Mass: 161.79 kg\n Factor of Safety: 1.20\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.7878659764192, "fos_buckling": 1.2040006186003236, "fos_yielding": 3.165036163918331, "deflection": 0.0019434319596052332, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002278)" }, "parent_node_id": "node_3437", "improvement_over_parent": null }, "node_3439": { "node_id": "node_3439", "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0045)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0042)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0017)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0019)]\n\nPerformance:\n Mass: 168.28 kg\n Factor of Safety: 1.24\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.27976706568134, "fos_buckling": 1.238559920695924, "fos_yielding": 3.1321931254548048, "deflection": 0.001917621365627683, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001888)" }, "parent_node_id": "node_3438", "improvement_over_parent": null }, "node_3440": { "node_id": "node_3440", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0052)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0049)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0049)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0022)]\n\nPerformance:\n Mass: 192.55 kg\n Factor of Safety: 1.39\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.54827870131635, "fos_buckling": 1.3884997229397766, "fos_yielding": 3.582348528553695, "deflection": 0.0016784959481282412, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.156)" }, "parent_node_id": "node_3439", "improvement_over_parent": null }, "node_3441": { "node_id": "node_3441", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n\nPerformance:\n Mass: 223.22 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.22246182945995, "fos_buckling": 1.5678146371145487, "fos_yielding": 4.150763863579452, "deflection": 0.001450645663684718, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.175)" }, "parent_node_id": "node_3440", "improvement_over_parent": null }, "node_3442": { "node_id": "node_3442", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 498)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, 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_3444": { "node_id": "node_3444", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n\nPerformance:\n Mass: 162.56 kg\n Factor of Safety: 0.71\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": 162.5624690399492, "fos_buckling": 0.7136419538298161, "fos_yielding": 3.4091007864891703, "deflection": 0.002041515924798574, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001940)" }, "parent_node_id": "node_3443", "improvement_over_parent": null }, "node_3445": { "node_id": "node_3445", "content": "MODIFICATION: Increase 1 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n\nPerformance:\n Mass: 165.38 kg\n Factor of Safety: 0.71\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.37752268489382, "fos_buckling": 0.7122798630474652, "fos_yielding": 3.408962295936377, "deflection": 0.001960078620506207, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.258)" }, "parent_node_id": "node_3444", "improvement_over_parent": null }, "node_3446": { "node_id": "node_3446", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0050)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0047)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n\nPerformance:\n Mass: 175.79 kg\n Factor of Safety: 0.82\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.79461725441536, "fos_buckling": 0.8183068534466671, "fos_yielding": 3.418389358752506, "deflection": 0.0019122563454267152, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002528)" }, "parent_node_id": "node_3445", "improvement_over_parent": null }, "node_3447": { "node_id": "node_3447", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 211.97 kg\n Factor of Safety: 0.96\n Max Deflection: 1.59e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.96781883701672, "fos_buckling": 0.9550745871264293, "fos_yielding": 4.116561124655614, "deflection": 0.001588089834748363, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.225)" }, "parent_node_id": "node_3446", "improvement_over_parent": null }, "node_3448": { "node_id": "node_3448", "content": "MODIFICATION: Increase 7 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0042)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n\nPerformance:\n Mass: 214.87 kg\n Factor of Safety: 0.85\n Max Deflection: 1.58e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.86641720514757, "fos_buckling": 0.8500543382498735, "fos_yielding": 4.106384210242763, "deflection": 0.0015824704974677394, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.385)" }, "parent_node_id": "node_3447", "improvement_over_parent": null }, "node_3449": { "node_id": "node_3449", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "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 499)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 122.02 kg\n Factor of Safety: 0.05\n Max Deflection: 9.70e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.01748349204829, "fos_buckling": 0.04519825075693109, "fos_yielding": 0.9382210086715185, "deflection": 0.009699746363707181, "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 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n\nPerformance:\n Mass: 123.53 kg\n Factor of Safety: 0.05\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": 123.52801168979352, "fos_buckling": 0.045190992112013724, "fos_yielding": 1.049701637112081, "deflection": 0.00858600686387709, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.350)" }, "parent_node_id": "node_3450", "improvement_over_parent": null }, "node_3452": { "node_id": "node_3452", "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0042)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0032)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0039)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0040)]\n\nPerformance:\n Mass: 154.43 kg\n Factor of Safety: 1.01\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": 154.42631895146772, "fos_buckling": 1.0069336150767796, "fos_yielding": 2.836612371292141, "deflection": 0.0020588119612569306, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003977)" }, "parent_node_id": "node_3451", "improvement_over_parent": null }, "node_3453": { "node_id": "node_3453", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n\nPerformance:\n Mass: 174.29 kg\n Factor of Safety: 1.12\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.2925667051224, "fos_buckling": 1.1229040682190414, "fos_yielding": 3.204298247947393, "deflection": 0.0018266473078442638, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.138)" }, "parent_node_id": "node_3452", "improvement_over_parent": null }, "node_3454": { "node_id": "node_3454", "content": "MODIFICATION: Increase 6 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n\nPerformance:\n Mass: 178.49 kg\n Factor of Safety: 1.30\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.49097324835498, "fos_buckling": 1.3024972732817988, "fos_yielding": 3.32156299606675, "deflection": 0.001809091905589258, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.224)" }, "parent_node_id": "node_3453", "improvement_over_parent": null }, "node_3455": { "node_id": "node_3455", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0054)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0050)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0051)]\n\nPerformance:\n Mass: 198.56 kg\n Factor of Safety: 1.42\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.5588139536048, "fos_buckling": 1.4245081722757753, "fos_yielding": 3.6936840349012674, "deflection": 0.0016283113958681262, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.122)" }, "parent_node_id": "node_3454", "improvement_over_parent": null }, "node_3456": { "node_id": "node_3456", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n\nPerformance:\n Mass: 223.14 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.13590702949216, "fos_buckling": 1.567300201815224, "fos_yielding": 4.149057663939631, "deflection": 0.0014512074472856796, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.136)" }, "parent_node_id": "node_3455", "improvement_over_parent": null }, "node_3457": { "node_id": "node_3457", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0061)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0058)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0342, t=0.0057)]\n\nPerformance:\n Mass: 223.26 kg\n Factor of Safety: 1.57\n Max Deflection: 1.45e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 223.25868550404536, "fos_buckling": 1.5680094747486508, "fos_yielding": 4.151342388757294, "deflection": 0.0014504394000829865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3456", "improvement_over_parent": null } }, "edges": [ { "from_node": "node_0", "to_node": "node_1", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002412)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1", "to_node": "node_2", "edge_type": "modification", "reasoning": "Increase 1 thickness by 36%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.357)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2", "to_node": "node_3", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.284)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3", "to_node": "node_4", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_4", "to_node": "node_5", "edge_type": "modification", "reasoning": "Increase 8 thickness by 43%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.429)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_5", "to_node": "node_6", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_7", "to_node": "node_8", "edge_type": "modification", "reasoning": "Increase 0 thickness by 43%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.429)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_8", "to_node": "node_9", "edge_type": "modification", "reasoning": "Increase 8 thickness by 58%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.582)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_9", "to_node": "node_10", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002609)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_10", "to_node": "node_11", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.186)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_11", "to_node": "node_12", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_12", "to_node": "node_13", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_14", "to_node": "node_15", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 3", "metadata": null, "grammar_action": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_15", "to_node": "node_16", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_16", "to_node": "node_17", "edge_type": "modification", "reasoning": "Increase 5 thickness by 48%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.479)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_17", "to_node": "node_18", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_19", "to_node": "node_20", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.164)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_20", "to_node": "node_21", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.125)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_21", "to_node": "node_22", "edge_type": "modification", "reasoning": "Increase 2 thickness by 62%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.621)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_22", "to_node": "node_23", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_23", "to_node": "node_24", "edge_type": "modification", "reasoning": "Increase 5 thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.203)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_24", "to_node": "node_25", "edge_type": "modification", "reasoning": "Increase 0 thickness by 40%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.397)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_25", "to_node": "node_26", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_26", "to_node": "node_27", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_28", "to_node": "node_29", "edge_type": "modification", "reasoning": "Increase all_members thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.314)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_29", "to_node": "node_30", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "action_type": null, "target_member": null, "parameter_name": null, 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